
subir sachdev

subir sachdev heey harvard vidyapithat bhautikshastrache herschel smith pradhyapak aahet, jeey ghanroop padarthat tadnya aahet. teey yuu. aii. sathee nivadle gele.ess. rashtriy
2014 madhye vidnyan akadameela american physical sosayatikadun lars onsegger puraskar aanee 2018 madhye aay. see. tii. pii. kadoon diarac padak midale.
teey 2017-2019 madheel "condensed matter physixchya varshik punaravalokanache" saha-sampadak hote.
aadhunik quantum samagriche bhautik gunadharm aanee anek kananchya tarangkaryat kwantamchya guntaguntiche swaroop yanchyatil sambandhanche varnan sachadevchya sanshodhanat kele aahe. quantum padarthachya guntaguntichya avasthanchya vividh prakaranchya varnanat sachdev yanni vyapak yogdan dile aahe. yamadhye, utsahachya urjechya antarasah aanee tyashivay, topological kram asalelya avasthancha aanee ardh-kananchya utsahashivay gambhir avasthancha samavesh hoto. yapaiki anek yogdan prayoganshi, visheshtah uchch tapmanachya ativahakanchya samruddha tappyachya aakrutinshi jodalele aahet.
vichitra dhatoo aanee krishna chhidre.
jatil quantum guntaguntichi tokachi udaharane ardh-kananchya uttejanashivay padarthachya dhatuchya avasthanmadhye udbhavtat, jyanna anekada vichitra dhatoo mhanatat. aadhunik samgrimadhye aadhalanaya vichitra dhatunche quantum bhautikshastra (jyacha abhyas tabletop prayoganmadhye keela jaau shakato) aanee khagolbhautikichya krishna chhidranjaval quantum guntagunt yanchyat eka jivhalyacha sambandh aahe heey ullekhaneey aahe.
haah sambandh sarvat spashtapane ekhadya vichitra dhatuchya paribhashit vaishishtyabaddal adhik kaljipurvak vichar karoon disun yetoh ardh kananchi anupasthiti. vyavharat, quantum padarthachi sthitee pahata, ardhakananche astitva purnapane nakarane katheen aaheh kahee vikshobhanmule eka ardhakan uttejana nirman hott nahee yachee khatri karata yete, parantu sthanik nasalela operator nakarane jawaljawal ashakya aahe, joou eka videshi ardhakan tayar karoo shakato jyamadhye antarnihit electron sthanikaritya guntalele nasatat. tyaeivaji sachdevne assa yuktivad keela qee pranali kitee vegane quantum tappyatil susangatata gamavate kinwa samanya bahya vikshobhanna pratisad mhanoon sthanik aushnik samatolaparyant pohochate heey tapasane changle aahe. jarr ardhakan astitvat asateel tarr utkat ardhakan ekmekanna dhadakanyasathi dirgh vel lagel. yaulat, ardhakananshivayachya avastha shakya titkya jalad velet sthanik aushnik samtol gathatat, jyaa kramachya moolyane (plank sthirank)/(boltzmann sthirank) x (paripoorn tapman) neey khalee bandhalya jaatat. sachdevne eka vichitra dhatuche (jyachya eka prakarala aata sachdev-yeey-kitev (sick) model mhanatat) eka nirakaran karnyayogya model prastavit kele, jeey quantum gondhalaparyant pohochanyasathi asha bandhanat bharr ghalate asey darshavile gele.
aata aapan krishna chhidranchya quantum siddhantashi sambandh jodu shakatoh agadi samanyatah, krishna chhidre dekhil ushmiy hotat aanee kramanusar (plank sthirank)/(boltzmann sthirank) x (nirpeksh tapman)) quantum arajakateparyant pohochatat, jethe paripoorn tapman heey krishnabinduche feriwale tapman asate.
aanee ardhakananshanshivay quantum padarthashi asaleli hii samanata hii eka saha-ghatana naheeh sick modelsasathi, sachdevne assa yuktivad keela hota qee vichitra dhatuche 1 antaral parimanasah vakr antaralkalatil krishna chhidranchya quantum siddhantachya drushtine holographic duheri varnan aahe.
haah sambandh aanee sachdev aanee sahkaryanchya itar sambandhit karyamule electronic quantum padarthachya gunadharmanvar aanee krishna chhidranmadhun honanya ferivalyanchya kiranotsargachya swarupavar maulyavan antardrushti midali aahe. gurutvakarshanachya nakashatoon midavalelya vichitra dhatunchya nirakaran karnyayogya pratimanni uchch tapmanatil atichalak aanee itar sanyuganmadhil vichitra dhatunchya adhik vastavadi pratimanche vishleshan karnyas prerit kele aahe. asha andajancha prayoganshi sambandh jodala gela aahe, jyat kahee prayog heey grapheenvaril nirikshananshi changlya pramanat sahmat aahet. sanshodhanat yaa vishayanvar adhik tapshilvar charcha kelee jaate.
pratidhvanit sanyojak bandh aanee zed2 quantum firki drav.
pii.doubleu. andersonne prastavit kele qee mooat insulatorla antiferromagnetchi jaaniv hote jee pratidhvanit valence bonned (arvb) kinwa quantum spin drav avastha tayar karoo shakate, jyat urja antar asate aanee vel-ulat samamiti naan modata uttejana firavu shakate. assa andaj bandhanyat aala hota qee asha aar. vhee. bii. avasthanmadhye apurnank quantum sankhyansah uttejana asatat, jase qee apurnank firki 1/2. asha aar. vhee. bii. ground avasthanche astitva aanee apurnank uttejanache vighatan pratham reed aanee sachdev aanee wein yanni zed 2 gej siddhantachya jodanidware sthapit kele hote. sanshodhanat varnan kelyapramane aar. vhee. bii. sthitee haah eka "visham" zed2 gej siddhant aahe heey dakhavnare dekhil sachdev heey pahile hote. visham zed2 firki dravachi pratyek jaalichya jagevar parshvabhoomi zed2 vidyut prabhar asato (samatulya, zed2 gej fluxshee sambandhit avasthanchya atee-nivad kshetrat (jyala "emm" kshetra asehi mhanatat) ekmekanshi paraspar virodhi 'ex' aanee 'vaay' dishanmadhil anuvad. ardh-purnank firki asalele antiferromagnet visham zed2 firki drav tayar karatat aanee purnank firki asalele summ zed2 firki drav tayar karatat, asey sachdev yanni dakhavun dile. yaa siddhantacha vapar karoon, aar. vhee. bii. sthitiche vividh sarvatrik gunadharm samajale gele, jyat konatyahi utsahachya samamiti parivartananvaril nirbandhancha samavesh hota. aar. vhee. bii. sthitichya bandist sankramananvarhi sachdevne anek parinam midavale, jyat nikatvarti quantum tappyanvaril nirbandh aanee tyanchyamadhye quantum tappyatil sankramananche swaroop yancha samavesh aahe.
karkird.
sachdev yanni seent yethe shalet shikshan ghetale. josephachi mulanchi madhyamik shaala, bengaluru aanee kendriya vidyalay, aii. ess. see., bengaluru. tyanni dillitil indian institute auph technology yethe eka varsh mahavidhyalayat shikshan ghetale. tyanchi massatusates institute auph technologymadhe badali jhaali, jithe tyanni bii. aii. padvi prapt kelee.ess. bhautikshastrat. tyala ph.dii. harvard vidyapithatun saiddhantik bhautikshastrat padvi. harwardla paratanyapurvi, jethe teey aata bhautikshastrache herschel smith pradhyapak aahet, tyanni bail labb (1985-1987) aanee yell vidyapithat (1987-2005) vyavsayik padey bhushavali, jithe teey bhautikshastrache pradhyapak hote. tyanni perimeter institute phaur theoretical physicsmadhye saiddhantik bhautikshastratil senoves energy james clerk maxwell cheear mhanoon aanee dow. homey jeey. taata institute auph fundamental risarchmadhye bhabha cheear professorship. 2018 pasoon too infosis puraskarasathi bhautik vidnyan jyurimadhyehi aahe.
sanman.
subir sachdev yanni saiddhantik ghanroop padarth bhautikshastrachya anek kshetranmadhye agraganya yogdan dile aahe. avahak, atichalak aanee dhatunmadhil quantum gambhir ghatananchya siddhantacha vikas, quantum antiferromagnetchya firki-drav avasthancha siddhant aanee padarthachya apoorn avasthancha siddhant, naveen deconfinment tappyatil sankramanacha abhyas, ardhakananshanshivay quantum padarthacha siddhant aanee black hole bhautikshastratil pradhanyane sambandhit nasalelya samasyansathi yapaiki anek kalpanancha vapar, jyat naun-fermi dravpadarthachya thos pratimanasah, heey vishesh mahattvache hote.
quantum tappyatil sankraman, quantum chumbakatva aanee apurnank firki dravyanchya siddhantatil tyanchya moolbhut yogdanasathi aanee bhautikshastra samudayatil tyanchya netrutvasathi.
pradhyapak sachdev yanna, tivra parasparsanvadachya ghanroop padarth pranalinchya siddhantatil tyanchya anek moolbhut yogdananchya sanmanarth derack padak pradan karnyat aaleh quantum tappyatil sankraman, jyat gambhir deconfinmentchi kalpana aanee paramparik samamiti aadharit landau-ginsberg-willson pratiman modane; videshi 'spin-liquid' aanee apoorn avasthancha andaj; aanee cupret samgrimadhil uchch-tapman superconductivitychya siddhantasathi anuprayog.
satdev yanni quantum tappyatil sankramanajaval sankshepan padarth pranalinchya siddhantat moolbhut pragati kelee aahe, jyane asha pranalinmadhil sthir aanee gatishil vartanachya samruddha vividhateche, maryadit tapmanavar aanee "tii" = 0 yaa donhi thikani spashtikaran dile aahe. tyanche pustak, "quantum tappyatil sankraman" haah kshetracha moolbhut majkoor aahe.
sanshodhan.
antiferromagnetche quantum tappe.
sachdev yanni antiferromagnetismchya quantum siddhantavar, visheshtah dvimiteey jaalimadhye, mothya pramanat kaam kele aahe. 
antiferromagnetchya kahee firatya drav avasthanche varnan chumbakeey kramanusar avasthanmadhun quantum tappyatil sankramanache parikshan karoon kele jaau shakate. asha drushtikonatun, firatya drav avasthanmadhye udayonmukh gej kshetra aanee uttejana yaa siddhantakade neuun jaate. chumbakeey kramache done varg swatantrapane vicharat ghene soyiche aaheh teey jeey samarekheey aanee gair-samarekheey firki kramane aahet. 
collinear antiferromagnetismchya babatit
(niil avasthepramane), sankramanamule yuu (1) gej kshetrasah firatya dravakade jaate, tarr naun-collinear antiferromagnetism
zed2 gej kshetrasah firatya dravamadhye sankraman hote.
zed2 firki dravpadarth 'summ' aanee 'visham' yaa done varganmadhye yetat heey olakhanare sachdev heey pahile hote. ardh-purnank-firki antiferromagnet keval visham zed2 firki dravpadarthanchi jaaniv karoo shakatat, jeey tyamule andersonchya arvb sthitisathi eka siddhant pradan karatat.
visham zed2 firki dravpadarthanmadhye (jyala aata mhanatat) eka visangati asate jee anion uttejanachya samamiti parivartananna pratibandhit karate aanee anion ghanikaran sankramanat badal karate. eka mahattvacha parinam mhanje ardh-purnank-spin antiferromagnetmadhye (aanee visham icing gej siddhantanmadhye) kshullak maryadit tappa nasato, joou layab-schultz-mattis prameyanchya vistarannusar aavashyak asato. heey parinam quantum diamer models aanee chauras jaalivaril bosonchya jawalun sambandhit modelsna dekhil lagoo hotat. heey kaam aata samamiti samruddha topological (sanch) kramatil sanshodhanacha prarambhik bindu aahe.
heey parinam done aayamanmadhil quantum firki pranalichya asankhya sankhyatmak abhyasanshi sahmat aahet.
prayogankade valoon, yaa yantranedvare ess. aar. see. yuu. 2 (bii. oo. 3) 2 madhye vhee. bii. ess. kramacha andaj vartavanyat aala hota aanee neutronchya vikhuranadvare tyache nirikshan kele gele aahe. cagom jaali pratifaromagnetsathi prastavit keleli eka vishisht zed2 firki drav sthitee tensor network vishleshanashi changlya prakare sahmat aahe aanee herbertsmithitevaryl neutron scattering aanee aine. emm. aar. prayoganche varnan karnyasathi prastavit karnyat aale aahe. cagom jaali sanyug kyu3zdn (oh) 6fbrmadhe eka gapped spin drav sthitee dekhil disun aalee aahe aanee tee zed2 spin drav asanyachi shakyata aahe.
quantum critical.
sachdev yanni prastavit kele qee cupret superconductors aanee itar paraspar sambandhit electron sanyuganche visangat gatishil gunadharm, 
jawalikane samajoon gheta yete
quantum critical fixed pointparyant. alpakalin nasalelya punaraadhunikikaran gatachya quantum critical vyavasthemadhye 
nishchit bindu (ekapeksha jaast avkashiy parimanat)
gatimanata hii ardhakananchya anupasthitidvare darshavili jaate, aanee 
sthanik samtol vel "γ/(kbt)". yaveli
serve quantum pranalinmadhye assa sarvat qamee vel denyacha prastav aahe. tevhapasoon vahtook mojamapanni heey darshavile aahe qee heey bandhane
anek parasparsambandhit dhatunmadhye teey sampruktatechya jawal aahe.
avahak, atichalak aanee dhatunmadhil quantum kritikalatechya quantum kshetra siddhantanmadhye sachdev yanni asankhya yogdan dile aahe.
gej siddhantanche bandhan sankraman aanee nirnayakteche vighatan.
paramparikpane, shastriy aanee quantum tappyatil sankramananche varnan landau-ginzberg-willson pratimananusar kele gele aahe. eka tappyatil tutaleli samamiti olakhate 
aurder parameter mhanoon; aurder parametersathichi krutee eka feeled siddhant mhanoon vyakt kelee jaate jee critical pointvar aanee tyapalikade chadhautar niyantrit karate.
deconfine kelele nirnayak bindu tappyatil sankramanachya naveen vargache varnan karatat jyamadhye kshetra siddhant kramachya mapdandanusar vyakt keela jaat nahee. tutaleli
samamiti aanee kram mapdand, kinwa topological kram, eka kinwa donhi jawalchya tappyanmadhye upasthit asatat. critical feeled siddhant haah muktatechya anshatah anshanchya babatit vyakt keela jaato.
jeey namunyachya baher vilgikaranat astitvat asoo shakat nahee.
<inns> icing gej siddhant </inns>:
franz wegnerne icing jaali gej siddhant sadar kele aanee gej kshetrachya willson loopchya mulyatil badaladvare soochit kelelya maryadit aanee nirvighan tappyanmadhil tyanche sankraman
kshetra kayadyapasun teey parigh kayadyaparyant. wegnerne assa yuktivadahi keela qee yaa siddhantachya bandist sankramanamadhye sthanik kram mapdand navhata, parantu tyaeivaji 3 parimananmadhye duheri icing modeldware varnan kele gele.
yaa nishkarshasathi mahattvapoorn vistar aavashyak asalyache disun yete. dvi-aayami prati-chumbakeey kshetrantil udayonmukh gej kshetranvar sachadevchya kamacha eka parinam mhanje 2 + 1 aayami icing gej siddhantachya deconfied tappyat zed 2 topological kram hota. eka tappyat topological kramachi upasthiti soochit karate qee heey eka icing * sankraman aahe, jyamadhye aapan keval asha avastha aanee operator nivadato jeey global icing inversion antargat aparivartaniy aahet; yaa nirbandhanchya nirikshanyogya parinamansathi alikadil sankhyatmak abhyas pahaa. 
icing kshetra heey nirvighan avasthechya apurnank uttejitateche pratinidhitva karate, zed2 gej fluxche praman vahoon nenara 'visson' (kinwa 'emm' kann) aanee visson keval jodyanmadhye tayar kele jaau shakatat. bandiche sankraman heey deconfied visansachya ghanikaranadvare chalavale jaate aanee mhanunach heey deconfied quantum critical pointche udaharan aahe, jaree konatehi antarheen gej kshetra nahee.
<inn> visham icing gej siddhant </inn>:
aar. vhee. bii. avasthanchya bandist sankramanancha abhyas karnyasathi deconfine criticultychi kalpana adhik mahattvapoorn banate. yache varnan zed2 topological kramane 'visham' icing gej siddhantanchya deconfied tappyandvare kele jaate. (wegnercha zed2 gej siddhant, joou 'summ' aahe, haah arvb sthiticha samadhankarak siddhant nahee.) aata gambhir siddhantat apurnank uttejana aanee antarheen gej kshetra aahe.
prati ekak peshi ardh-purnank firkisah dvi-aayami antiferromagnetchya sandarbhat, icing gej siddhantanchya sandarbhat prabhavi varnan aavashyak aahe.
pratyek thikanavaril parshvabhoomi sthir vidyut prabharah haah visham icing gej siddhant aahe. aapan icing gej siddhant majboot jodani maryada mhanoon lihu shakato 
2 uchch kshetrachya aaveshanchya upasthitit eka sankshipt yuu (1) gej siddhant. parshvabhoomi vidyut prabharanchi upasthiti soochit karate qee yuu (1) kshetrache monopole beriche tappe vahoon netat aanee jaalichya avkash gatachya khalee kshullakaritya badaltat. maryadit tappyat monopoles ghanikaran hott asatana, eka tatkal parinam assa hoto qee maryadit tappyat valence bonned solid (vhee. bii. ess.) kramachya vikasadvare space group todane aavashyak aahe. yavyatirikt, berichya tappyanmule nirnayak binduvar monopolsche dadpan yete, jenekarun, chauras jaalivar, gambhir siddhantat eka deconfined yuu (1) gej kshetra asate jeey gambhir charge scalarshee jodale jaate. laksh dya qee gambhir siddhant vhee. bii. ess. kramachya sandarbhat vyakt keela jaat nahee, joou ell. jee. doubleu. pratimanadvare aavashyak asel (jeey deconfined tappyat zed. 2 topological kramakade durlaksh karate). tyaeivaji, yuu (1) gej siddhantachi duheri aavrutti vhee. bii. ess. kramachya "vargmoolachya" sandarbhat lihili jaate.
<inn> naun-collinear antiferromagnetismchi suruvat </inn>:
dvimiteey antiferromagnetmadhil deconfied criticaltiche aanakhi eka udaharan zed2 gej siddhantachya deconfied tappyatil vidyut shulk asalelya kananchya ("eae" kann kinwa spinon) ghanikaranat disun yete. spinonmadhye jaagtik firki firkichya quantum sankhya dekhil asatat, tyamule heey antiferromagnetic aurder aanee broken spin rotation samamitisah zed 2 gej siddhantachya "highgs" tappyakade netat; yethe antiferromagnetic aurder parametermadhe (3) samamiti asate aanee tyachpramane ell. jee. doubleu. critical siddhant asava; parantu spinonsathi deconfine kelelya critical siddhantat achook ess. yuu. (2) samamiti asate (jee aprasangik sandnyankade durlaksh kelyanantar oo. (4) paryant vadhavali jaate).
<inn> niil-vhee. bii. ess. sankraman </inn>: adhik sookshm shrenitil nirvighan nirnayak bindunche donhi bajunna maryadit tappe asatat aanee apurnank uttejana keval nirnayak binduvar asatat.
yaa vargachi sarvottam abhyasaleli udaharane mhanje suu ("aine") samamiti asalele quantum antiferromagnet 
chauras jaalivar. heey collinear antiferromagnetic kram asalelya avasthepasun valence bonned solidmadhye tappyache sankraman darshavtat, parantu gambhir siddhant spinonchya sandarbhat vyakt keela jaato.
udayonmukh yuu (1) gej kshetrashi jodalele.
yaa sankramanachya abhyasat 2 + 1 parimananmadhye anuroop kshetra siddhantat monopole operatorchya scaling aayamachi pahili ganana samavisht hotee; "1/n" kramvarisathi adhik achook ganana nell-vhee. bii. ess. sankramanachya sankhyatmak abhyasashi changlya prakare julatat.
naun-fermi drav aanee black holache sick model.
sachdev aanee tyacha pahila padvidhar vidyarthi jinavu yeey yanni, fermi nasalelya dravache achookpane sodavata yenyajoge model prastavit kele, jyachya eka prakarala aata sachdev-yeey-kitev model mhanatat.
tyachya fermian sahsanyojkanmadhye shakti-niyam kshay asato, joou shunyetar tapmanat anurupapane aparivartaniy swarupaparyant vistarlela aadhalala. sick modelmadhye prati site shunyetar entropy dekhil aadhalali aahe, jee nahishi hott jaananya tapmanachya maryadet aahe (heey vegane mothya ground steet degeneracychya samatulya naheeh tyaeivaji, heey vegane lahan asalelya anek-shareer patalichya antaramule aahe, jeey spectrummadhye sarvat qamee urjeparyant vistarte). yaa nirikshananchya aadhare, sachdevne pratham prastavit kele qee heey model jahirat 2 varr quantum gurutvakarshanachya holografikdrushtya duheri aahe aanee tyachi qamee tapman entropy beckenstein-hocking black hole entropiece olakhali. quantum gurutvakarshanachya aadhichya pratimanchya ulat, asey disate qee sick pratiman eka vyavasthemadhye sodavata yenyajoge aahe jeey hocking kiranotsargatil sookshm gair-aushnik parasparsambandhansathi jababdar aahe.
urja antar asalelya eka-aayami quantum pranali.
sachdev aanee sahkaryanni shunyetar tapmanachya gatishastrasathi aanee urja antarasah eka-aayami quantum pranalinchya vahatukisathi aupcharikpane achook siddhant vikasit keela. qamee tapmanat ardh-kananchya utsahachya patalpanamule ardh-shastriy paddhatincha vapar karnyas parvanagi midali. parinam aine. emm. aar. barobar changlya parimanatmak kararat hote 
aanee tyanantarchya neutronchya vikhurnyachya nirikshane s = 1 firki sakhalyanvar aanee anuprastha kshetravar nmr saha icing sakhali sanyug connub2oo6
quantum ashuddhata.
paramparik kondo prabhavamadhye mothya pramanat fermi drav kinwa luttinger drav yanchyashi parasparsanvad sadhatana sthanik pramanatil swatantrya samavisht asate. ardh-kananchya uttejanashivay mothya pramanat tivra parasparsanvad karnari gambhir sthitee asalelya prakarananche varnan sachdev yanni kele. aparimey firkichi curie sanvedansheelata aanee aparimey sankhyechya avasthanchi seema entropy heey ashuddhateche vaishishtya hote.
atee-sheet anoo.
sachdev yanni ghanata lahari kram aanee 'chumbakeey' quantum criticultycha andaj vartavala 
atee-thund anoonchya jhukalelya jaalimadhye. heey nantar prayoganmadhye disun aale. jhukalelya jaalichya pratirupanane parasparsanvadi bosenschya adhik samanya modella prerana dilee jyamadhye susangat bahya srot pratyek sitewar bosans tayar karoo shakato aanee nasht karoo shakato. heey model antarheen asangat tappyansah anek kalkhandanchya ghanatechya lahari darshavate aanee adakalelya rydberg anoonvaril prayoganmadhye yachee jaaniv jhaali aahe.
apurnank aanee udayonmukh gej kshetransah dhatoo.
sachdev aanee sahkaryanni eka naveen dhatuchi sthitee prastavit kelee, apurnank fermi drav (eff. ell. *): 
yamadhye fermi prushthbhagachya bhovati electronsarkhe ardhakan asatat, jeey luttingerchya prameyanusar aavashyak asalelya aakarmanapeksha vegale aakarman vyapatat.
eka samanya yuktivad denyat aala hota qee asha konatyahi avasthemadhye torresver khoop qamee urja uttejana asane aavashyak aahe, sambandhit nahee
qamee urjechya ardhakananshih hii uttejana samanyatah sambandhit kananchya udayonmukh gej kshetranshi sambandhit asatat.
drav sthitee firwa. dusya shabdant, naun-luttinger fermi prushthbhagachya aakarmanasathi aavashyakpane topological kram aavashyak asato. 
eff. ell. * tappa haah paramparik fermi drav (eff. ell.) pasoon quantum tappyatil sankramanadvare vegala karane aavashyak aahe;
yaa sankramanat konatyahi tutalelya samamiticha samavesh asanyachi aavashyakta nahee aanee bandivas/uchchank samavisht asaleli udaharane sadar karnyat aalee hotee. 
gej kshetrache sankraman. asha prakarche quantum tappyatil sankraman secoin 5 madhye disun aale aahe.
quantum critical vahtook.
ardhakananshivay sarvat sopya pratikruti pranalimadhye shoonya nasalelya tapmanavar quantum vahatukicha siddhant sachdev yanni vikasit keela
uttejanah 2 + 1 parimananmadhil eka anuroop kshetra siddhant, joou ultracold bosenschya atidravak-avahak sankramanandware sakarla jaato
optical jaalimadhye. prachalak utpadan asalelya quantum-boltzmann samikarananmadhun eka sarvasamaveshak chitra samore aale
vistar aanee holographic paddhati. nantarchya vyaktine krishnabinduchya kshitijachya jawalpasachya gatishilateche manchitran kele.
ghanroop padarth quantum critical pranali, hydrodynamics aanee quantum gurutvakarshan yanchyatil heey pahile prastavit jodane hote. yaa kamanmule akheris grapheenmadhye hydrodynamic vahatukicha siddhant aanee khalee varnan kelelya yashasvi prayogik andajanna chalana midali.
ardhakananshanshivay quantum padarth.
sachdev yanni 'vichitra' dhatunmadhye magnetto-thermoelectric vahatukicha siddhant vikasit kelah
ardh-kananchya uttejanashivay chull ghanata asalelya quantum padarthachya sthitee. asey dhatoo aadhaltat,
sarvat prasiddha, chhidra-dope kelelya coppretsmadhye ishtatam dopingchya jawal, parantu itar anek parasparsambandhit goshtinmadhyehi disun yete
electron sanyuge. jyaa vichitra dhatunmadhye gatee andaje sanrakshit aahe, tyasathi 2007 madhye hydrodynamic samikaranancha sanch prastavit karnyat aala hota, jyamadhye done ghatakanchya vahatukiche varnan kele gele hote.
gatee dragg ghatak aanee quantum-critical chalaktasah.
heey sootra charge kelele krishna chhidre, smrutee karye aanee naveen kshetra-saiddhantik drushtikonanchya holographishi jodalele hote. 
hii samikarane vaidh aahet
jevha electron-electron vikhuranyachi vel electron-ashuddhata vikhurnyachya velepeksha khoopach qamee asate,
aanee teey ghanata, vikar, tapman, varanvarta aanee chumbakeey kshetravaril avalambitvasathi vishisht andajankade netat
vahtook malmatta. 
yaa hydrodynamic samikarananche palan karananya dhatuchya vichitra vartanacha andaj 'quantum critical' madhye grapheenmadhye vartavanyat aala hota.'
kamkuvat vikar aanee diarac ghanatechya jawal madhyam tapman.
haah siddhant aushnik aanee vidyut mojamapanche parimanatmak varnan karato.
grapheenmadhye vahtook karane aanee ohamik, electron pravahapeksha chikatatechya vyavasthekade nirdesh karane.
yaa siddhantachya weil dhatunparyantchya vistarane aksheey-gurutvakarshaniy visangatichi prasangikta darshavili aanee aushnik vahatukisathi andaj lavale jeey hote
nirikshananmadhye pushti jhaali (aanee newyork timesmadhye thalakpane).
uchch tapman superconductors tappe.
electronchi ghanata door kelyavar uchch tapmanachi ativahakta disun yete.
dvi-aayami antiferomagnetpasoon. darmyanchya madhyavarti vyavasthevar jaast laksh kendrit kele aahe
antiferromagnet aanee ishtatam superconductor, jethe atirikt spardhatmak aurder aadhaltat
qamee tapman aanee chhidra-dope kelelya coppretsmadhye eka 'seudogap' dhatoo disato. utkrantisathi sachadevache siddhant
chumbakeey kshetra, ghanata aanee tapmanasah spardhatmak kramachi prayoganshi yashasviritya tulana kelee gelee aahe. sachdev aanee sahkaryanni antiferromagnetic kramachya suruvaticha abhyas karnyasathi chinh-samasyamukt monte carlo paddhat prastavit kelee.
dhatuh yamule anek padarthanmadhye aadhalanaya uchch tapmanachya atichalaktasaha eka tappyachi aakruti tayar hote aanee tyanantarchya byanch kamanmadhye dhatunche varnan kele gele aahe. 
vividh samgrichya vastavadi pratimanmadhye uchch tapmanachya atichalaktache mool.
loh-aadharit superconductorsasathi sutrakrumi kramacha andaj vartavanyat aala hota, aanee
eka naveen prakarchya charge ghanata laharicha, 'dii'-form factor ghanata laharicha, andaj vartavanyat aala hota
chhidra-dope kelele cuprets; donhi anek prayoganmadhye pahile gele aahet.
chhidra-dope kelelya coppretscha seudogap dhatoo
varr charcha kelyapramane, anshatah "dii"-form factor density vevhashi asalelya naisargik sambandhavar aadharit, topological kramasah dhatoo asalyacha yuktivad keela gela. tyanantar lagechach, badox aanee itaranche ullekhaneey prayog."sachadevchya karyat sadar kelelya ekoon saiddhantik chitras anuroop, yabkomadhye ishtatam dopingchya jawal topological kramane asalelya chhotya fermi prushthbhagachya sthitisathi purava pradarshit keela.