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The effect of the electron-electron (e-e) interaction on the Peierls lattice distortions due to the electron-lattice (e-l) interaction is studied in the two-dimensional Peierls-Hubbard model, treating the fluctuation of e-e interaction…

Strongly Correlated Electrons · Physics 2009-11-11 Shutaro Chiba , Yoshiyuki Ono

A periodic lattice distortion that reduces the translational symmetry folds electron bands into a reduced Brillouin zone, leading to band mixing and a tendency to gap formation, as in the Peierls transition in one-dimensional systems.…

Other Condensed Matter · Physics 2025-11-07 Santiago Palumbo , Pablo S. Cornaglia , Jorge I. Facio

Peierls gap is analyzed in case of a two-dimensional lattice under the influence of a magnetic field, in a tight-binding approximation. By using a non-analytic class of potentials, such as the Kohmoto potential in the Harper model,…

Mesoscale and Nanoscale Physics · Physics 2009-06-19 O. Borchin

We discuss the ground state of a two dimensional electron-lattice system described by a Su-Schrieffer-Heeger type Hamiltonian with a half-filled electronic band, for which it has been pointed out in the previous paper [J. Phys. Soc. Jpn. 69…

Materials Science · Physics 2009-11-07 Tetsuya Hamano , Yoshiyuki Ono

The one-dimensional (1D) model system Au/Ge(001), consisting of linear chains of single atoms on a surface, is scrutinized for lattice instabilities predicted in the Peierls paradigm. By scanning tunneling microscopy and electron…

Strongly Correlated Electrons · Physics 2013-10-15 C. Blumenstein , J. Schaefer , M. Morresi , S. Mietke , R. Matzdorf , R. Claessen

The electronic properties of quarter-filled organic materials showing spin-Peierls transition are investigated theoretically. By studying the one-dimensional extended Peierls-Hubbard model analytically as well as numerically, we find that…

Strongly Correlated Electrons · Physics 2007-05-23 Makoto Kuwabara , Hitoshi Seo , Masao Ogata

The problem of deriving from microscopic theory a Ginzburg-Landau free energy functional to describe the Peierls or charge-density-wave transition in quasi-one-dimensional materials is considered. Particular attention is given to how the…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie

The two-dimensional Hubbard model on the square lattice is studied in the presence of lattice distortions in the adiabatic approximation. The self energy is computed within perturbation theory up to second order, which provides a way for…

Strongly Correlated Electrons · Physics 2009-02-26 C. A. Lamas

The interplay between electron-electron and electron-phonon interactions is studied in a one-dimensional lattice model, by means of a variational Monte Carlo method based on generalized Jastrow-Slater wave functions. Here, the fermionic…

Strongly Correlated Electrons · Physics 2025-02-18 Davide Piccioni , Francesco Ferrari , Michele Fabrizio , Federico Becca

The evolution of the role of lattice vibrations in the formation of the pseudogap state in strongly correlated electron systems has been investigated concerning changes in the electron-phonon coupling parameters and the concentration of…

Strongly Correlated Electrons · Physics 2025-09-05 E. I. Shneyder , M. V. Zotova , A. V. Dudarev , S. V. Nikolaev , S. G. Ovchinnikov

Dimerization of a spin-half Heisenberg antiferromagnet on a square lattice is investigated by taking unexpanded exchange couplings. Several dimerized configurations are considered some of which are shown to have lower ground state energies…

Condensed Matter · Physics 2008-02-03 Aiman Al-Omari , A. H. Nayyar

We investigate the exotic Peierls state in the one-dimensional organic compound (EDO-TTF)_{2}X, wherein the Peierls transition is accompanied by the bending of molecules and also by a fourfold periodic array of charge disproportionation…

Strongly Correlated Electrons · Physics 2008-06-26 M. Tsuchiizu , Y. Suzumura

Based on a half-filled two-dimensional tight-binding model with nearest-neighbour and next nearest-neighbour hopping the effect of imperfect Fermi surface nesting on the Peierls instability is studied at zero temperature. Two dimerization…

Strongly Correlated Electrons · Physics 2010-05-24 Qingshan Yuan , Tamara Nunner , Thilo Kopp

The onset of distortion in one-dimensional monatomic chains with partially filled valence bands is considered to be well-established by the Peierls theorem, which associates the distortion with the formation of a band gap and a subsequent…

Materials Science · Physics 2019-06-11 Daniela Kartoon , Uri Argaman , Guy Makov

The understanding of lattice instabilities is of vast importance in material science. The famous example is the Peierls instability of one-dimensional metals and for strongly-nested Fermi surfaces in two and three dimensions. Through an…

Other Condensed Matter · Physics 2022-08-12 Nassim Derriche , Ilya Elfimov , George Sawatzky

The rare-earth ditellurides are known to form two-dimensional square lattice where the strong Fermi surface nesting leads to structural modulation. In contrast to charge density waves, the supercell modulation is accompanied by the…

Materials Science · Physics 2024-07-10 Jinwoong Kim , Nicholas Kioussis

The purpose of this paper is to investigate the ground-state properties of two-dimensional Heisenberg models on a square lattice with a given dimerization. Our aim is threefold: First, we want to investigate the dimensional transition from…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper , K. Hamacher

In a two orbital double exchange model we formulate Jahn-Teller coupled charge density wave in one electron per lattice site limit. Softening of Jahn-Teller phonons corresponding to distortion modes $Q_2$ or $Q_3$ associated with perfect…

Strongly Correlated Electrons · Physics 2016-08-31 Manidipa Mitra

In one dimension the coupling of electrons to phonons leads to a transition from a metallic to a Peierls distorted insulated state if the coupling exceeds a critical value. On the other hand, in two dimensions the electron-phonon…

Superconductivity · Physics 2009-11-13 S. Sykora , A. Hübsch , K. W. Becker

We predict the new type of phase transition in quasi one-dimensional system of interacting electrons at high magnetic fields, the stabilization of a density wave which transforms a two dimensional open Fermi surface into a periodic chain of…

Strongly Correlated Electrons · Physics 2009-11-13 A. M. Kadigrobov , A. Bjeliš , D. Radić
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