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We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluctuations (frequency $\omega_0 \ll U/2$, the onsite Coulomb…

强关联电子 · 物理学 2025-07-08 Liam L. H. Lau , Andreas Gleis , Daniel Kaplan , Premala Chandra , Piers Coleman

Looking for superconductors with higher transition temperature requires a guiding principle. In conventional superconductors, electrons pair up into Cooper pairs via the retarded attraction mediated by electron-phonon coupling.…

强关联电子 · 物理学 2015-11-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang

We examine the effects of electron-phonon interaction on the dynamics of the charge carriers doped in two-dimensional (2D) Heisenberg antiferromagnet. The $t$-$J$ model Hamiltonian with a Fr\"ohlich term which couples the holes to a…

凝聚态物理 · 物理学 2009-10-28 B. Kyung , S. I. Mukhin , V. N. Kostur , R. A. Ferrell

We simulate spectral functions for electron-phonon coupling in a filled band system - far from the asymptotic limit often assumed where the phonon energy is very small compared to the Fermi energy in a parabolic band and the Migdal theorem…

强关联电子 · 物理学 2011-09-12 C. N. Veenstra , G. L. Goodvin , M. Berciu , A. Damascelli

We derive an effective Hamiltonian for the one-dimensional Hubbard-Holstein model, valid in a regime of both strong electron-electron (e-e) and electron-phonon (e-ph) interactions and in the non-adiabatic limit ($t/\omega_0 \leq 1$), by…

强关联电子 · 物理学 2015-05-20 Sahinur Reja , Sudhakar Yarlagadda , Peter B. Littlewood

Studies of Hamiltonians modeling the coupling between electrons as well as to local phonon excitations have been fundamental in capturing the novel ordering seen in many quasi-one dimensional condensed matter systems. Extending studies of…

强关联电子 · 物理学 2023-06-21 Nahom K. Yirga , Ka-Ming Tam , David K. Campbell

We develop a theory for the electron-phonon interaction effects on the electronic properties of graphene. We analytically calculate the electron self-energy, spectral function and band velocity renormalization due to phonon-mediated…

材料科学 · 物理学 2009-11-13 Wang-Kong Tse , S. Das Sarma

We present the phase diagram and dynamical correlation functions for the Holstein-Hubbard model at half filling and at zero temperature. The calculations are based on the Dynamical Mean Field Theory. The effective impurity model is solved…

强关联电子 · 物理学 2009-11-10 W. Koller , D. Meyer , A. C. Hewson , Y. Ono

We investigate the role of electron-electron and electron-phonon interactions in strongly correlated systems by performing unbiased quantum Monte Carlo simulations in the square lattice Hubbard-Holstein model at half-filling. We study the…

强关联电子 · 物理学 2019-10-04 Natanael C. Costa , Kazuhiro Seki , Seiji Yunoki , Sandro Sorella

We calculate the spectral function of the one dimensional Hubbard-Holstein model using the time dependent Density Matrix Renormalization Group (tDMRG), focusing on the regime of large local Coulomb repulsion, and away from electronic…

强关联电子 · 物理学 2014-11-20 A. Nocera , M. Soltanieh-ha , C. A. Perroni , V. Cataudella , A. E. Feiguin

We present the results of Quantum Monte Carlo calculations for a two dimensional frustrated Hubbard model coupled to bond phonons. The model is known to have a d-wave superconducting ground state in the limit of large phonon frequency for…

强关联电子 · 物理学 2020-04-08 R. T. Clay , D. Roy

An asymptotically exact result is obtained for the renormalized phonon energy as a function of the on-site Coulomb repulsion $U_{ee}$ in the half-filled Hubbard-Holstein model in the strong-coupling region at zero temperature. The result is…

凝聚态物理 · 物理学 2009-10-30 Takashi Hotta , Yasutami Takada

We use the continuous-time interaction expansion (CT-INT) quantum Monte Carlo method to calculate the phonon spectral function of the one-dimensional Holstein-Hubbard model at half-filling. Our results are consistent with a soft-mode…

强关联电子 · 物理学 2015-07-01 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

We analyze the global ground-state (quantum) phase diagram of the one-dimensional Holstein model at half-filling as a function of the strength of the electron-phonon coupling (represented by the strength of the phonon-induced attraction,…

强关联电子 · 物理学 2023-02-28 Sijia Zhao , Zhaoyu Han , Ilya Esterlis , Steven A. Kivelson

Density-matrix renormalization group is used to study the pairing when both of electron-electron and electron-phonon interactions are strong in the Holstein-Hubbard model at half-filling in a region intermediate between the adiabatic…

强关联电子 · 物理学 2009-09-29 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

In this work, using two distinct semiclassical approaches, namely the mean-field Ehrenfest (MFE) method and the mapping approach to surface hopping (MASH), we investigate the spectral function of a single charge interacting with phonons on…

化学物理 · 物理学 2025-10-24 Haimi Nguyen , Arkajit Mandal , Ankit Mahajan , David R. Reichman

Using a variational Monte Carlo method, we study competitions of strong electron-electron and electron-phonon interactions in the ground state of Holstein-Hubbard model on a square lattice. At half filling, an extended intermediate metallic…

超导电性 · 物理学 2017-11-10 Takahiro Ohgoe , Masatoshi Imada

Using a multistep renormalization group method, we study the low-temperature phases of the interacting one-dimensional (1D) electron gas coupled to phonons. We obtain analytic expressions for the weak-coupling quantum phase boundaries of…

强关联电子 · 物理学 2007-05-23 Ian P. Bindloss

Due to the dispersion of optical phonons, long range electron-phonon correlations renormalize downwards the coupling strength in the Holstein model. We evaluate the size of this effect both in a linear chain and in a square lattice for a…

材料科学 · 物理学 2009-11-11 Marco Zoli

Understanding of the energy exchange between electrons and phonons in metals is important for micro- and nano-manufacturing and system design. The electron-phonon (e-ph) coupling constant is to describe such exchange strength, yet its…

介观与纳米尺度物理 · 物理学 2021-03-17 Wuli Miao , Moran Wang