Magic Gap Ratio for Optimally Robust Fermionic Condensation and Its Implications for High-$T_c$ Superconductivity

Harrison, Neil; Chan, Mun Keat

doi:10.1103/physrevlett.129.017001

Title: Magic Gap Ratio for Optimally Robust Fermionic Condensation and Its Implications for High-$$T_c$$ Superconductivity

Journal Article · Wed Jun 29 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.129.017001· OSTI ID:1879408

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Bardeen-Schrieffer-Cooper (BCS) and Bose-Einstein condensation (BEC) occur at opposite limits of a continuum of pairing interaction strength between fermions. A crossover between these limits is readily observed in a cold atomic Fermi gas. Whether it occurs in other systems such as the high temperature superconducting cuprates has remained an open question. We uncover here unambiguous evidence for a BCS-BEC crossover in the cuprates by identifying a universal magic gap ratio 2Δ/k_BT_c ≈ 6.5 (where Δ is the pairing gap and T_c is the transition temperature) at which paired fermion condensates become optimally robust. At this gap ratio, corresponding to the unitary point in a cold atomic Fermi gas, the measured condensate fraction N0 and the height of the jump δγ(T_c) in the coefficient γ of the fermionic specific heat at T_c are strongly peaked. In the cuprates, δγ(T_c) is peaked at this gap ratio when Δ corresponds to the antinodal spectroscopic gap, thus reinforcing its interpretation as the pairing gap. We find the peak in δγ(T_c) also to coincide with a normal state maximum in γ, which is indicative of a pairing fluctuation pseudogap above T_c.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF)

Grant/Contract Number:: 89233218CNA000001; DMR-1157490; DMR-1164477

OSTI ID:: 1879408

Report Number(s):: LA-UR-22-26910; TRN: US2307646

Journal Information:: Physical Review Letters, Vol. 129, Issue 1; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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