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Related papers: Quantum Monte Carlo Simulations of the 2D Su-Schri…

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Most nonperturbative numerical studies of electron-phonon interactions focus on model Hamiltonians where the electrons interact with a phonon branch via a single type of microscopic mechanism. Two commonly explored couplings in this context…

Strongly Correlated Electrons · Physics 2024-12-25 Max Casebolt , Chunhan Feng , Richard T. Scalettar , Steven Johnston , G. G. Batrouni

Electron-phonon ($e$-ph) interactions arise in many strongly correlated quantum materials from the modulation of the nearest-neighbor hopping integrals, as in the celebrated Su-Schrieffer-Heeger (SSH) model. Nevertheless, relatively few…

Strongly Correlated Electrons · Physics 2025-06-30 Andy Tanjaroon Ly , Benjamin Cohen-Stead , Steven Johnston

The Su-Schrieffer-Heeger (SSH) model, with bond phonons modulating electron tunneling, is a paradigmatic electron-phonon model that hosts an antiferromagnetic order to bond order transition at half-filling. In the presence of repulsive…

Strongly Correlated Electrons · Physics 2023-10-13 Bo Xing , Chunhan Feng , Richard Scalettar , G. George Batrouni , Dario Poletti

We compare the acoustic Su-Schrieffer-Heeger (SSH) model with two of its optical variants where the phonons are defined on either on the sites or bonds of the system. First, we discuss how to make fair comparisons between these models in…

Strongly Correlated Electrons · Physics 2023-07-20 Sohan Malkaruge Costa , Benjamin Cohen-Stead , Andy Tanjaroon Ly , James Neuhaus , Steven Johnston

We investigate the two-dimensional optical Su-Schrieffer-Heeger (SSH) model, in which the electron hopping amplitude is modulated by the difference between neighboring phonon coordinates. Using sign-problem-free auxiliary-field quantum…

The interplay of bond and charge correlations is studied in a one-dimensional model with both Holstein and Su-Schrieffer-Heeger (SSH) couplings to quantum phonons. The problem is solved exactly by quantum Monte Carlo simulations. If one of…

Strongly Correlated Electrons · Physics 2017-02-28 Martin Hohenadler

We study a three-orbital Su-Schrieffer-Heeger model defined on a two-dimensional Lieb lattice and in the negative charge transfer regime using determinant quantum Monte Carlo. At half-filling (1 hole/unit cell), we observe a bipolaron…

Materials Science · Physics 2020-06-22 Shaozhi Li , Steven Johnston

We study one-dimensional Su-Schrieffer-Heeger (SSH) models with quantum phonons using a continuous-time quantum Monte Carlo method. Within statistical errors, we obtain identical results for the SSH model with acoustic phonons, and a…

Strongly Correlated Electrons · Physics 2015-07-01 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

The Hubbard and Su-Schrieffer-Heeger Hamiltonians (SSH) are iconic models for understanding the qualitative effects of electron-electron and electron-phonon interactions respectively. In the two-dimensional square lattice Hubbard model at…

Strongly Correlated Electrons · Physics 2022-08-31 Chunhan Feng , Bo Xing , Dario Poletti , Richard Scalettar , George Batrouni

We study the triangular lattice optical Su-Schrieffer-Heeger (SSH) model using determinant quantum Monte Carlo. By varying the model's carrier concentration, electron-phonon coupling strength, and phonon energy $\Omega$, we identify two…

Strongly Correlated Electrons · Physics 2026-04-07 Max Casebolt , Sohan Malkaruge Costa , Benjamin Cohen-Stead , Richard Scalettar , Steven Johnston

We use a stochastic series expansion quantum Monte Carlo method to study the phase diagram of the one-dimensional extended Hubbard model at half filling for small to intermediate values of the on-site (U) and nearest-neighbor (V)…

Strongly Correlated Electrons · Physics 2009-11-07 Pinaki Sengupta , Anders W. Sandvik , David K. Campbell

This study explores the ground-state phase diagram and topological properties of the spinless 1D Su-Schrieffer-Heeger (SSH) model with nearest-neighbor (NN) interactions at quarter filling. We analyze key physical quantities such as the…

Strongly Correlated Electrons · Physics 2025-12-11 Yan-Xiao Wang , Yin Zhong

We study a Su-Schrieffer-Heeger electron-phonon model on a square lattice by means of auxiliary-field quantum Monte Carlo simulations. The addition of a symmetry-allowed interaction permits analytical integration over the phonons at the…

Strongly Correlated Electrons · Physics 2025-02-25 Anika Götz , Martin Hohenadler , Fakher F. Assaad

The phase diagram of the one-dimensional Su-Schrieffer-Heeger model of spinless fermions coupled to quantum phonons is determined by quantum Monte Carlo simulations. It differs significantly from previous work. In addition to Luttinger…

Strongly Correlated Electrons · Physics 2020-04-13 Manuel Weber , Francesco Parisen Toldin , Martin Hohenadler

Experimental quest for high-temperature and room-temperature superconductivity (SC) at ambient pressure has been a long-standing research theme in physics. It has also been desired to construct reliable microscopic mechanisms that may…

Strongly Correlated Electrons · Physics 2026-04-08 Xun Cai , Zi-Xiang Li , Hong Yao

The two-dimensional Su-Schrieffer-Heeger model of electrons coupled to quantum phonons is investigated using Langevin dynamics within the framework of auxiliary-field quantum Monte Carlo. Based on an explicit determination of the density of…

Strongly Correlated Electrons · Physics 2022-04-12 Anika Götz , Stefan Beyl , Martin Hohenadler , Fakher F. Assaad

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…

Strongly Correlated Electrons · Physics 2023-06-21 Nahom K. Yirga , Ka-Ming Tam , David K. Campbell

Exploring supersolidity in naturally occurring and artificially designed systems has been and will continue to be an area of immense interest. Here, we study how superfluid and charge-density-wave (CDW) states cooperate or compete in a…

Strongly Correlated Electrons · Physics 2015-05-26 Satyaki Kar , Sudhakar Yarlagadda

Electron-phonon (e-ph) interactions play a crucial role in determining many properties of materials. In this context, the Su-Schrieffer-Heeger (SSH) model, where atomic motion modulates the electronic hopping, has gained significant…

Strongly Correlated Electrons · Physics 2026-03-13 Debshikha Banerjee , Alberto Nocera , Steven Johnston

We use determinant quantum Monte Carlo to study the half-filled `bond-Holstein' model on a square lattice. We find that the model exhibits a charge-density-wave (CDW) phase transition with a critical temperature $T_\mathrm{cdw}$…

Strongly Correlated Electrons · Physics 2026-01-22 Charles Jordan , George Issa , Ehsan Khatami , Richard Scalettar , Benjamin Cohen-Stead , Steven Johnston
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