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We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of…

Strongly Correlated Electrons · Physics 2012-04-12 Hadi Ebrahimnejad , Mona Berciu

Quantum Monte Carlo method is used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature…

Strongly Correlated Electrons · Physics 2007-05-23 T. Nakaegawa , Y. Ohta

To evaluate the effectiveness of machine learning in systems with competing interactions, we developed a self-learning quantum Monte Carlo (SLQMC) method to simulate the phase transition in the classical Holstein-spin-fermion model. In…

Strongly Correlated Electrons · Physics 2025-09-09 Shaozhi Li

Non-local, inhomogeneous and retarded response observed in experiments is reproduced by introducing the Inhomogeneous Momentum Average (IMA) method to study single polaron problems with disorder in the on-site potential and/or spatial…

Strongly Correlated Electrons · Physics 2015-05-13 Mona Berciu , Andrei S. Mishchenko , Naoto Nagaosa

Recent experiments have suggested that the electron-phonon coupling may play an important role in the $\gamma \rightarrow \alpha$ volume collapse transition in Cerium. A minimal model for the description of such transition is the periodic…

Strongly Correlated Electrons · Physics 2019-05-01 Enzhi Li , Shuxiang Yang , Peng Zhang , Ka-Ming Tam , Mark Jarrell , Juana Moreno

We analyze the full counting statistics (FCS) of a single-site quantum dot coupled to a local Holstein phonon for arbitrary transmission and weak electron-phonon coupling. We identify explicitly the contributions due to quasielastic and…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 T. L. Schmidt , A. Komnik

Quantum simulations can provide new insights into the physics of strongly correlated electronic systems. A well studied system, but still open in many regards, is the Hubbard-Holstein Hamiltonian, where electronic repulsion is in…

Strongly Correlated Electrons · Physics 2021-12-08 Utso Bhattacharya , Tobias Graß , Adrian Bachtold , Maciej Lewenstein , Fabio Pistolesi

In the theory of electron-phonon superconductivity both the magnitude of the electron-phonon coupling $\lambda$ as well as the Coulomb pseudopotential $\mu^*$ are important to determine the transition temperature $T_c$ and other properties.…

Superconductivity · Physics 2013-04-24 Johannes Bauer , Jong E. Han , Olle Gunnarsson

I investigate superconducting states in a quasi-2D Holstein model using the dynamical cluster approximation (DCA). The effects of spatial fluctuations (non-local corrections) are examined and approximations neglecting and incorporating…

Superconductivity · Physics 2015-05-13 J. P. Hague

The Quasi-harmonic (QH) approximation uses harmonic vibrational frequencies omega(H,Q,V), computed at volumes V near the volume where the Born-Oppenheimer (BO) energy is minimum. When this is used in the harmonic free energy, QH…

Materials Science · Physics 2015-08-19 Philip B. Allen

The one-dimensional Holstein-Hubbard model with two electrons of opposite spin is studied using an extension of a recently developed quantum Monte Carlo method, and a very simple yet rewarding variational approach, both based on a…

Strongly Correlated Electrons · Physics 2007-05-23 Martin Hohenadler , Wolfgang von der Linden

Anharmonic effects are widely believed to be the primary cause of the overestimation of superconducting transition temperatures of yttrium hydrides YH$_6$ and YH$_9$ in theoretical predictions. However, prior studies indicate that…

Superconductivity · Physics 2025-11-07 Yucheng Ding , Haoran Chen , Junren Shi

We investigate the nonequilibrium dynamics induced by an interaction quench in the semiclassical Holstein model within the Ehrenfest nonadiabatic framework, which describes an isolated hybrid quantum-classical system with strictly conserved…

Strongly Correlated Electrons · Physics 2026-02-06 Ho Jang , Gia-Wei Chern

Negative nonlinear electron-phonon coupling involving an infrared-active phonon mode can lead to an instability towards the formation of a polar lattice distortion with ferrielectric (FE) moments accompanied by an electronic charge-density…

Strongly Correlated Electrons · Physics 2018-10-30 M. Puviani , M. A. Sentef

We study bipolaron formation and bipolaronic superconductivity on a square lattice, where electrons couple to both local Holstein phonons via on-site charge density and nonlocal bond Su-Schrieffer-Heeger phonons via modulation of hopping…

Superconductivity · Physics 2025-11-11 Chao Zhang

Over the last several years, a new generation of quantum simulations has greatly expanded our understanding of charge density wave phase transitions in Hamiltonians with coupling between local phonon modes and the on-site charge density. A…

Strongly Correlated Electrons · Physics 2021-01-13 Bo Xing , Wei-ting Chiu , Dario Poletti , Richard T. Scalettar , George G. Batrouni

We consider a model Hamiltonian for a dimer including all the electronic one- and two-body terms consistent with a single orbital per site, a free Einstein phonon term, and an electron-phonon coupling of the Holstein type. The bare…

Strongly Correlated Electrons · Physics 2009-10-31 M. Acquarone , J. R. Iglesias , M. A. Gusmao , C. Noce , A. Romano

The influence of dispersion-less quantum optical phonons on the phase diagram of a quarter-filled Hubbard chain is studied using the Density-matrix renormalization group technique. The ground state phase diagram is obtained for frequencies…

Strongly Correlated Electrons · Physics 2009-10-31 Philippe Maurel , Marie-Bernadette Lepetit

We analyze the ground-state properties of strongly-correlated electrons coupled with phonons by means of a generalized Gutzwiller wavefunction which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled…

Strongly Correlated Electrons · Physics 2008-07-29 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

We present a semiconductor master equation technique to study the input/output characteristics of coherent photon transport in a semiconductor waveguide-cavity system containing a single quantum dot. We use this approach to investigate the…

Quantum Physics · Physics 2013-05-31 S. Hughes , C. Roy