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SUMMARY:Quantum geometry: a new paradigm in anomalous electronic transport
  and unconventional superconductivity
DTSTART:20230607T121500
DTEND:20230607T140000
DTSTAMP:20260414T211920Z
UID:3b0e84ba0ad12aa7ba7c99a1bee0ab78893863a9d921990bf3546d83
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alex Kruchkov\nQuantum geometry — the metric of quantum stat
 es in Hilbert space — determines the distance between two neighbouring q
 uantum states. The concept of quantum geometry\, represented by Fubini-Stu
 dy metric\, had been used in the quantum information theory\, however\,  
 had been mainly overlooked in the condensed matter environment. This situa
 tion has changed after discovery of  twisted bilayer graphene (TBG) and t
 wisted transition metal dichalcogenides\, which host nearly dispersionless
  quantum states (”flat bands”) characterized by nontrivial topology an
 d quantum geometry.   Despite the conventional expectation of vanishing 
 conductivity and absent superconductivity\, the dispersionless electrons i
 n moiré materials demonstrate a plethora of anomalies ranging from unconv
 entional superconductivity to giant thermopower\, strange metal behaviour\
 , Fractional Chern Insulator states\, among others. A new paradigm featuri
 ng the quantum geometry of dispersionless quantum  states  is getting mo
 mentum towards understanding these anomalies. In this talk\, we will discu
 ss quantum transport — thermal conductance\, thermoelectric response\, a
 nd superfluid weight — from the old perspective and from the new quantum
 -geometric perspective.  Time permitting\, we discuss recent experimental
  evidence of significant quantum-geometric effects on the transport anomal
 ies in flat bands of twisted bilayer graphene\, and outline new perspectiv
 es and challenges.\n\nReferences:\n\n[1]  A. Kruchkov\, Physical Review B
  (Letter)\, vol. 105\, p. L241102\, Jun 2022.\n[2] A. Kruchkov\,  arXiv:2
 210.00351\, under review in PRL (2023).\n[3] Y. Guan\, O. V. Yazyev\, and 
 A. Kruchkov\,  Physical Review B (Letter)\, vol. 106\, p. L121115\, Sep 2
 022.\n 
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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