Journal ArticleDOI
The metal-insulator transitions in the Peierls chain
P.Y. Le Daeron,Serge Aubry +1 more
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The ground state of a discrete molecular-crystal model for the Peierls chain with classical atoms and non-interacting spinless quantum electrons is calculated numerically as a function of the electron-phonon coupling for an 'irrational' electron concentration.Abstract:
The ground state (at 0K) of a discrete molecular-crystal model for the Peierls chain with classical atoms and non-interacting spinless quantum electrons is calculated numerically as a function of the electron-phonon coupling for an 'irrational' electron concentration. A metal-insulator transition arising from the extinction of the Frohlich conductivity for the incommensurate system is observed when the Peierls gap is only 10% of the total unperturbed bandwidth. Beyond the critical coupling, the Frohlich mode disappears and the electrons are exponentially localised but the lattice distortion remains incommensurate (the polaron lattice). In this region, the Peierls-Nabarro barrier does not vanish and is calculated. The existence of metastable Fermi glasses is also proved, but they are shown to have an energy larger than that of the incommensurate ground state. The observed transition is identified as a transition by breaking of analyticity, which is similar to the one found previously in the Frenkel-Kontorova model. This behaviour is explained as being a consequence of the competition between the Fermi and the lattice wavevectors, which are incommensurate with each other.read more
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The twist map, the extended Frenkel-Kontorova model and the devil's staircase
TL;DR: In this article, the exact results on the discrete Frenkel-Kontorova (FK) model and its extensions have been reviewed and a series of rigorous upper bounds for the stochasticity threshold of the standard map were obtained.
Journal ArticleDOI
Mobile small polarons and the Peierls transition in the quasi-one-dimensional conductor K0.3MoO3
Luca Perfetti,Slobodan Mitrovic,Giorgio Margaritondo,Marco Grioni,L. Forró,Leonardo Degiorgi,Hartmut Höchst +6 more
TL;DR: In this paper, high-resolution angle-resolved photoemission spectroscopy (ARPES) on the quasi-one-dimensional Peierls system K03MoO3 reveals a "hidden" open Fermi surface and band features displaying the symmetry properties of the underlying lattice.
Journal ArticleDOI
Chaotic polaronic and bipolaronic states in the adiabatic Holstein model
TL;DR: In this article, the existence of bipolar states in the adiabatic Holstein model for any lattice at any dimension, periodic or not, and for an arbitrary band filling, provided that the electron-phonon coupling (in dimensionless units) is large enough.
Journal ArticleDOI
The concept of anti-integrability applied to dynamical systems and to structural and electronic models in condensed matter physics
TL;DR: In this article, it was shown that the anti-integrable limit for structural problems is a very natural limit where the "atoms" of the structure become disconnected and the associated dynamical system becomes undeterministic and just reduces to a Bernoulli shift.
References
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Journal ArticleDOI
Studies of polaron motion: Part I. The molecular-crystal model
TL;DR: In this paper, a model for polaron motion is described, in simplified form, incorporating the principal physical features of the problem, and the conditions under which the size of the polaron becomes comparable to a lattice spacing (small) are discussed.
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Soliton excitations in polyacetylene
TL;DR: A theoretical analysis of the excitation spectrum of long-chain polyenes is presented in this paper, where one electronic state is localized at the gap center for each soliton or antisoliton present and the soliton's energy of formation, length, mass, activation energy for motion, and electronic properties are calculated.
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A method for determining a stochastic transition
TL;DR: In this article, the existence of a KAM surface is assumed to be associated with a sudden change from stability to instability of nearby periodic orbits, which is consistent with all that is known, strongly supported by numerical results.
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On the Theory of Superconductivity: The One-Dimensional Case
TL;DR: In this paper, the problem of free electrons interacting with lattice displacements is solved by a self-consistent method, and it is found that for a certain range of the interaction parameter a single sinusoidal lattice displacement is strongly excited in the lowest level of the system.