Bipolaronic high-temperature superconductivity

Zhang, C.; Sous, J.; Reichman, D. R.; Berciu, M.; Millis, A. J.; Prokof’ev, Nikolay; Svistunov, Boris

doi:10.48550/arxiv.2203.07380

Cited by 5 publications

(8 citation statements)

References 43 publications

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“…This led to the detection of a transition from small to large polarons. Furthermore, recent theoretical work has pointed out the importance of bipolaron formation for high-temperature superconductivity [16] and the experiments conducted in Ref. [17] emphasize the role of bipolarons in the pseudogap formation in the quasi-one-dimensional material (TaSe 4 )2I.…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons

Jansen,

Bonča,

Heidrich-Meisner

2022

Preprint

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A comprehensive picture of polaron and bipolaron physics is essential to understand the optical absorption spectrum in many materials with electron-phonon interactions. In particular, the finitetemperature properties are of interest since they play an important role in many experiments. Here, we combine the parallel two-site time-dependent variational principle algorithm (p2TDVP) with local basis optimization (LBO) and purification to calculate time-dependent current-current correlation functions. From this information, we extract the optical conductivity for the Holstein polaron and bipolaron with dispersive phonons at finite temperatures. For the polaron in the weak and intermediate electron-phonon coupling regimes, we analyze the influence of phonon dispersion relations on the spectra. For strong electron-phonon coupling, the known result of an asymmetric Gaussian is reproduced for a flat phonon band. For a finite phonon bandwidth, the center of the Gaussian is either shifted to larger or smaller frequencies, depending on the sign of the phonon hopping. We illustrate that this can be well understood by considering the Born-Oppenheimer surfaces. A similar behavior is seen for the bipolaron for strong coupling. For the bipolaron with weak and intermediate coupling strengths and a flat phonon band, we obtain two very different spectra. The latter also has a temperature-dependent resonance at a frequency below the phonon frequency.

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Section: Introductionmentioning

confidence: 99%

Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons

Jansen,

Bonča,

Heidrich-Meisner

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Another complication we wish to ignore is an instability to a superconducting ground-state, whether of the well established Bardeen-Cooper-Schrieffer type at weak electron-phonon coupling [4], or a more exotic Bose-Einstein condensation of a bipolaron liquid that might occur at strong electron-phonon couplings [5,6]. To achieve this, we further restrict the following discussion to a liquid of spinless fermions (alternatively, one can think of fully spin-polarized charge carriers).…”

Section: Introductionmentioning

confidence: 99%

Polarons in spinless metals—a variational solution

Berciu

2022

J. Phys. Mater.

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We propose a simple variational solution for calculating one-particle spectral functions in lattice models of spinless metals with strong electron-phonon coupling. It is based on a generalization of the Momentum Average variational approximation for single polarons, combined with the assumption that the other fermions in the system are locked into an inert Fermi sea. We expect the method to be accurate for fermion addition spectral functions in metals with a small Fermi energy (nearly empty band), and for fermion removal spectral functions in metals with a large Fermi energy (nearly full band), provided that the characteristic phonon frequency is not too small. Both these regions are far from the region where the Migdal theorem holds, thus our results oﬀer new insights into polaronic behavior in a largely unexplored part of the parameter space. Here, we show results for the Holstein coupling in one-dimension and present some ways to gauge their accuracy, but ultimately this will need to be veriﬁed against numerical calculations. This variational method can be extended straightforwardly to higher dimensions and other forms of electron-phonon coupling.

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“…This type of interaction has been gaining interest in recent years [42][43][44][45][46][47][48][49][50], as it may produce results quite different from the more frequently studied Holstein interaction. For example, theoretical work suggests that the SSH model may be capable of mediating high-temperature superconductivity [51], enhancing antiferromagnetic (AFM) correlations in the Hubbard-SSH model [49], or stabilizing a bond-ordered phase [50]. However, these novel effects may be due to nonphysical changes in the sign of the effective hopping integral [52].…”

mentioning

confidence: 99%

Suppressed superexchange interactions in the cuprates by bond-stretching oxygen phonons

Li¹,

Johnston²

2022

Preprint

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We study a multi-orbital Hubbard-Su-Schrieffer-Heeger model for the one-dimensional (1D) corner-shared cuprates in the adiabatic and nonadiabatic limits using the exact diagonalization and determinant quantum Monte Carlo methods. Our results demonstrate that lattice dimerization can be achieved only over a narrow range of couplings slightly below a critical coupling gc at half-filling. Beyond this critical coupling, the sign of the effective hopping changes, and the lattice becomes unstable. We also examine the model's temperature-dependent uniform magnetic susceptibility and the dynamical magnetic susceptibility and compare them to the results of an effective spin-1/2 Heisenberg model. In doing so, we numerically demonstrate that the lattice fluctuation induced by the e-ph interaction suppresses the effective superexchange interaction. Our results elucidate the effect of bond-stretching phonons in the parent cuprate compounds in general and are particularly relevant to 1D cuprates, where strong e-ph interactions have recently been inferred.

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Bipolaronic high-temperature superconductivity

Cited by 5 publications

References 43 publications

Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons

Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons

Polarons in spinless metals—a variational solution

Suppressed superexchange interactions in the cuprates by bond-stretching oxygen phonons

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