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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

We consider the Peierls model for closed polyactetylene chains with an even number of carbon atoms as well as infinite chains, in the presence of temperature. We prove the existence of a critical temperature below which the chain is…

Mathematical Physics · Physics 2023-10-13 David Gontier , Adéchola Kouande , Eric Séré

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 introduction of Peierls phases in open tight-binding chains without closed paths in either real or synthetic dimensions is understood to be physically inconsequential, as one assumes they can always be gauged away. Here, we show that…

Mesoscale and Nanoscale Physics · Physics 2024-09-30 Anselmo M. Marques

First-principles calculations for carbyne under strain predict that the Peierls transition from symmetric cumulene to broken-symmetry polyyne structure is enhanced as the material is stretched. Interpretation within a simple and instructive…

Materials Science · Physics 2014-07-04 Vasilii I. Artyukhov , Mingjie Liu , Boris I. Yakobson

It has been suggested that the metal-insulator transitions in a number of spinel materials with partially-filled t_2g d-orbitals can be explained as orbitally-driven Peierls instabilities. Motivated by these suggestions, we examine…

Strongly Correlated Electrons · Physics 2014-07-28 R. T. Clay , H. Li , S. Sarkar , S. Mazumdar , T. Saha-Dasgupta

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

The dipole P(F) of systems with periodic boundary conditions (PBC) in a static electric field F is applied to one-dimensional Peierls-Hubbard models for organic charge-transfer (CT) salts. Exact results for P(F) are obtained for finite…

Strongly Correlated Electrons · Physics 2009-11-10 Zoltan G. Soos , Sharon A. Bewick , Andrea Peri , Anna Painelli

The zero and finite temperature spin-Peierls transitions in a quasi-one-dimensional spin-1/2 Heisenberg model coupled to adiabatic bond phonons is investigated using the Stochastic Series Expansion (SSE) Quantum Monte Carlo (QMC) method.…

Strongly Correlated Electrons · Physics 2013-10-04 Jason Cornelius Pillay , Keola Wierschem , Pinaki Sengupta

In one-dimensional quantum materials, conducting electrons and the underlying lattices can undergo a spontaneous translational symmetry breaking, known as Peierls transition. For nearly a century, the Peierls transition has been understood…

Topological band theory provides a conceptual framework to predict or even engineer robust metallic states at the boundaries of topologically distinct phases. The bulk-boundary correspondence requires that a topological electronic phase…

Since the pioneering works of Peierls, one-dimensional materials have attracted great attention. Still, the synthesis of truly monoatomic chains remains elusive. In this study, we explore a novel path of experimental synthesis of monoatomic…

We develop a unified view of topological phase transitions (TPTs) in solids by revising the classical band theory with the inclusion of topology. Re-evaluating the band evolution from an "atomic crystal" [a normal insulator (NI)] to a solid…

Materials Science · Physics 2020-05-11 Huaqing Huang , Feng Liu

The effect of dimensionality on materials properties has become strikingly evident with the recent discovery of graphene. Charge ordering phenomena can be induced in one dimension by periodic distortions of a material's crystal structure,…

Strongly Correlated Electrons · Physics 2012-04-05 B. Mansart , M. J. G. Cottet , T. J. Penfold , S. B. Dugdale , R. Tediosi , M. Chergui , F. Carbone

Topological phase transition in a single material usually refers to transitions between a trivial band insulator and a topological Dirac phase, but the transition may also occur between different classes of topological Dirac phases.…

Materials Science · Physics 2018-06-13 Hui-Xiong Deng , Zhi-Gang Song , Shu-Shen Li , Su-Huai Wei , Jun-Wei Luo

Elemental tellurium is a strongly spin-orbit coupled Peierls-distorted semiconductor whose band structure features topologically protected Weyl nodes. Using time-dependent density functional theory calculations, we show that impulsive…

Strongly Correlated Electrons · Physics 2022-11-22 H. Ning , O. Mehio , C. Lian , X. Li , E. Zoghlin , P. Zhou , B. Cheng , S. D. Wilson , B. M. Wong , D. Hsieh

We present a generic grand-canonical theory for the Peierls transition in atomic wires deposited on semiconducting substrates such as In/Si(111) using a mean-field solution of the one-dimensional Su-Schrieffer-Heeger model. We show that…

Mesoscale and Nanoscale Physics · Physics 2020-02-06 Yasemin Ergün , Eric Jeckelmann

We study the topological properties of Peierls transitions in a monovalent M\"{o}bius ladder. Along the transverse and longitudinal directions of the ladder, there exist plenty Peierls phases corresponding to various dimerization patterns.…

Mesoscale and Nanoscale Physics · Physics 2009-11-20 Z. R. Gong , Z. Song , C. P. Sun

Topological phases and topological phase transitions (TPT) are among the most fantastic phenomena in Nature. Here we show that injecting a current may lead to new topological phases, especially new gapless topological metallic phases with…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Fadi Sun , Jinwu Ye

There exists a class of non-stoichiometric materials (berthollides) that can be considered as constituted by two sublattices, which have specific physicochemical properties. These properties can be essentially modified by even rather weak…

Superconductivity · Physics 2007-05-23 V. N. Bogomolov
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