Semiclassical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model

Kim, Kyung-Su; Han, Zhaoyu; Sous, John

doi:10.1103/physrevb.109.l220502

Semiclassical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model

Journal Article · Tue Jun 11 00:00:00 EDT 2024 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.109.l220502· OSTI ID:2404898

Kim, Kyung-Su ^[1]; ^[2]; ^[3]

Stanford University, CA (United States); SLAC
Stanford University, CA (United States)
Stanford University, CA (United States); University of California, San Diego, La Jolla, CA (United States)

We analyze the transition temperature T_c of bipolaronic superconductivity in a bond Su-Schrieffer-Heeger (bond-SSH) model—also known as a bond Peierls model—where the electron hoppings are modulated by bond phonons. Using a semiclassical instanton approximation justifiable in the adiabatic limit of slow phonons, we find that the bipolaron mass is only weakly enhanced, in contrast to the typical large mass enhancement found in standard (Holstein) electron-phonon models. Specifically, in the strong coupling limit, the bipolarons can freely slide within a degenerate manifold rather than become self-trapped. A gas of these bipolarons can undergo a superfluid transition at a critical temperature for which we obtain an upper bound. We find that this bound is exponentially larger than that in the Holstein model. In conclusion, our study provides an analytical understanding of the mechanism behind the high-T_c bipolaronic superconductivity numerically observed in [Phys. Rev. X 13, 011010 (2023)].

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); Gordon and Betty Moore Foundation’s EPiQS Initiative

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 2404898

Alternate ID(s):: OSTI ID: 2474313

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 22 Vol. 109; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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