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The Holstein model is a paradigmatic description of the electron-phonon interaction, in which electrons couple to local dispersionless phonon modes, independent of momentum. The model has been shown to host a variety of ordered ground…

Strongly Correlated Electrons · Physics 2023-05-12 Owen Bradley , Benjamin Cohen-Stead , Steven Johnston , Kipton Barros , Richard T. Scalettar

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

The Holstein Model (HM) describes the interaction between fermions and a collection of local (dispersionless) phonon modes. In the dilute limit, the phonon degrees of freedom dress the fermions, giving rise to polaron and bipolaron…

Strongly Correlated Electrons · Physics 2018-12-07 Natanael C. Costa , T. Blommel , W. -T. Chiu , G. G. Batrouni , R. T. Scalettar

Over the past several years, reliable Quantum Monte Carlo results for the charge density wave transition temperature $T_{cdw}$ of the half-filled two dimensional Holstein model in square and honeycomb lattices have become available for the…

Strongly Correlated Electrons · Physics 2020-10-21 B. Cohen-Stead , Kipton Barros , Zi Yang Meng , Chuang Chen , R. T Scalettar , G. G. Batrouni

The issue of whether $d$-wave superconductivity (SC) occurs in the square-lattice Hubbard model with $U$ of order of the bandwidth has been one of the most debated issues to emerge from the study of high temperature SC. Here, we report…

Strongly Correlated Electrons · Physics 2025-11-25 Hong-Chen Jiang , Thomas P. Devereaux , Steven A. Kivelson

The electron-phonon (e-ph) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge-density-waves (CDW), and polarons. We study the two-dimensional Holstein model for e-ph…

Strongly Correlated Electrons · Physics 2021-07-12 B. Nosarzewski , E. W. Huang , Philip M. Dee , I. Esterlis , B. Moritz , S. A. Kivelson , S. Johnston , T. P. Devereaux

The effect of electron-phonon coupling (EPC) on Dirac fermions has recently been explored numerically on a honeycomb lattice, leading to precise quantitative values for the finite temperature and quantum critical points. In this paper, we…

Strongly Correlated Electrons · Physics 2020-05-28 Yuxi Zhang , Huaiming Guo , Richard T. Scalettar

We study the temperature-filling phase diagram of the single-band Holstein model in two dimensions using the self-consistent Migdal approximation, where both the electron and phonon self-energies are treated on an equal footing. By…

Superconductivity · Physics 2019-02-05 Philip M. Dee , Ken Nakatsukasa , Yan Wang , Steven Johnston

The Holstein model on a square lattice at half-filling has a well-established finite temperature phase transition to an insulating state with long range charge density wave (CDW) order. Because this CDW formation suppresses pairing, a…

Strongly Correlated Electrons · Physics 2024-12-31 Jingyao Meng , Yuxi Zhang , Rafael M. Fernandes , Tianxing Ma , R. T. Scalettar

We present a pseudospin formulation for the post-quench dynamics of charge-density-wave (CDW) order in the half-filled spinless Holstein model on a square lattice, assuming spatially homogeneous evolution. This Anderson pseudospin…

Strongly Correlated Electrons · Physics 2026-01-06 Lingyu Yang , Ho Jang , Sankha Subhra Bakshi , Yang Yang , Gia-Wei Chern

The Holstein Hamiltonian describes itinerant electrons whose site density couples to local phonon degrees of freedom. In the single site limit, at half-filling, the electron-phonon coupling results in a double well structure for the lattice…

Strongly Correlated Electrons · Physics 2023-08-10 C. Kvande , C. Feng , F. Hébert , G. G. Batrouni , R. T. Scalettar

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

We use an unbiased, continuous-time quantum Monte Carlo method to address the possibility of a zero-temperature phase without charge-density-wave (CDW) order in the Holstein and, by extension, the Holstein-Hubbard model on the half-filled…

Strongly Correlated Electrons · Physics 2019-10-11 M. Hohenadler , G. G. Batrouni

The Charge-density-wave(CDW) in 2H-NbSe2(TCDW ~ 33 K), which coexists with superconductivity(Tc = 7.2 K), is investigated using Angle-resolved photoemission spectroscopy as a function of temperature. Across TCDW, energy and momentum(k)…

Strongly Correlated Electrons · Physics 2007-05-23 T. Kiss , T. Yokoya , A. Chainani , S. Shin , T. Hanaguri , M. Nohara , H. Takagi

Electron-lattice coupling effects in low dimensional materials give rise to charge density wave (CDW) order and phase transitions. These phenomena are critical ingredients for superconductivity and predominantly occur in metallic model…

We investigate the out-of-equilibrium dynamics of a photo-excited charge-density-wave (CDW) state in the square-lattice Holstein model, in a setup similar to a pump-probe experiment. At half-filling, the ground state of this system is…

Strongly Correlated Electrons · Physics 2024-06-18 Lingyu Yang , Gia-Wei Chern

Pair-density-wave (PDW) is a long-sought exotic state with oscillating superconducting order without external magnetic field. So far it has been rare in establishing a 2D microscopic model with PDW long-range order in its ground state. Here…

Superconductivity · Physics 2024-10-29 Yi-Fan Jiang , Hong Yao

We investigate the charge-density wave (CDW) transition for one-dimensional spinless fermions at half band-filling with nearest-neighbor electron transfer amplitude $t$ and interaction $V$. The model is equivalent to the anisotropic XXZ…

Strongly Correlated Electrons · Physics 2022-11-22 Florian Gebhard , Kevin Bauerbach , Örs Legeza

Mechanisms of Mott transitions and dx2-y2-wave superconductivity (SC) are studied in the half-filled-band Hubbard model on square lattices with a diagonal hopping term (t'), using an optimization (or correlated) variational Monte Carlo…

Strongly Correlated Electrons · Physics 2009-11-11 Hisatoshi Yokoyama , Masao Ogata , Yukio Tanaka

The extended Hubbard model with a nearest-neighbor Coulomb repulsion on the square lattice is studied to obtain insight into the phase diagram of cuprate high $T_c$ superconductors (HTS). To pursue the hidden-order scenario proposed in [S.…

Superconductivity · Physics 2019-07-17 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto
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