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At low energies the charge sector of one dimensional Mott insulators can be described in terms of a quantum Sine-Gordon model. Using exact results derived from integrability it is possible to determine dynamical properties like the…

Strongly Correlated Electrons · Physics 2007-05-23 Davide Controzzi , Fabian H. L. Essler , Alexei M. Tsvelik

An understanding of the anomalous charge dynamics in the high-Tc cuprates is obtained based on a model study of doped Mott insulators. The high-temperature optical conductivity is found to generally have a two-component structure: a Drude…

Strongly Correlated Electrons · Physics 2007-09-16 Zheng-Cheng Gu , Zheng-Yu Weng

The sine-Gordon model appears as the low-energy effective field theory of various one-dimensional gapped quantum systems. Here we investigate the dynamics of generic, non-integrable systems belonging to the sine-Gordon family at finite…

Statistical Mechanics · Physics 2022-12-14 Márton Kormos , Dániel Vörös , Gergely Zaránd

Topological one-dimensional superconductors can sustain in their extremities zero energy modes that are protected by different kinds of symmetries. The observation of these excitations in the form of Majorana fermions is one of the most…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 A. C. P. Lima , R. C. Bento Ribeiro , J. H. Correa , Fernanda Deus , M. S. Figueira , Mucio A. Continentino

The sine-Gordon model is a paradigmatic quantum field theory that provides the low-energy effective description of many gapped 1D systems. Despite this fact, its complete thermodynamic description in all its regimes has been lacking. Here…

Strongly Correlated Electrons · Physics 2024-09-27 Botond C. Nagy , Márton Kormos , Gábor Takács

We discuss a semiclassical calculation of low energy charge transport in one-dimensional (1d) insulators with a focus on Mott insulators, whose charge degrees of freedom are gapped due to the combination of short range interactions and a…

Strongly Correlated Electrons · Physics 2009-11-13 Bernd Rosenow

The doped Mott insulator in one dimension has been studied based on the phase Hamiltonian with the Umklapp scattering process, in which the charge degree of freedom is described by the quantum sine-Gordon model. The well-known equivalence…

Condensed Matter · Physics 2009-10-28 Michiyasu Mori , Hidetoshi Fukuyama

This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposition of an unperturbed interface Hamiltonian, we present a…

Spectral Theory · Mathematics 2025-08-13 Binglu Chen , Guillaume Bal

We study radiation-matter interaction in a system of ultracold atoms trapped in an optical lattice in a Mott insulator phase. We develop a fully general quantum model, and we perform calculations for a one-dimensional geometry at normal…

Optics · Physics 2009-11-13 Francesco Bariani , Iacopo Carusotto

We study the low-energy collective properties of a 1D spin-1 Bose gas using bosonization. After giving an overview of the technique, emphasizing the physical aspects, we apply it to the $S=1$ Bose-Hubbard Hamiltonian and find a novel…

Quantum Gases · Physics 2023-03-02 Felipe Reyes-Osorio , Karen Rodriguez-Ramirez

Charge separation properties, that is the ability of a chromophore, or a chromophore/semiconductor interface, to separate charges upon light absorption, are crucial characteristics for an efficient photovoltaic device. Starting from this…

Chemical Physics · Physics 2019-12-05 Thibaud Etienne , Mariachiara Pastore

The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantum simulator of this field theory and fueling the parallel…

Statistical Mechanics · Physics 2024-01-12 Alvise Bastianello

As an elementary particle the electron carries spin \hbar/2 and charge e. When binding to the atomic nucleus it also acquires an angular momentum quantum number corresponding to the quantized atomic orbital it occupies (e.g., s, p or d).…

Quasiparticle properties are explored in an effective theory of the $t-J$ model which includes two important components: spin-charge separation and unrenormalizable phase shift. We show that the phase shift effect indeed causes the system…

Strongly Correlated Electrons · Physics 2009-10-31 Z. Y. Weng , D. N. Sheng , C. S. Ting

The recent advances in angle resolved photoemission techniques allowed the unambiguous experimental confirmation of spin charge decoupling in quasi one dimensional (1D) Mott insulators. This opportunity stimulates a quantitative analysis of…

Strongly Correlated Electrons · Physics 2015-05-14 Valeria Lante , Alberto Parola

We use quantum sine-Gordon model to describe the low energy dynamics of a pair of coupled one-dimensional condensates of interacting atoms. We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes…

Other Condensed Matter · Physics 2007-05-23 Vladimir Gritsev , Anatoli Polkovnikov , Eugene Demler

The effect of proximity to a Mott insulating phase on the charge transport properties of a superconductor is determined. An action describing the low energy physics is formulated and different scenarios for the approach to the Mott phase…

Strongly Correlated Electrons · Physics 2009-11-07 L. B. Ioffe , A. J. Millis

We describe the two-dimensional Mott transition in a Hubbard-like model with nearest neighbors interactions based on a recent solution to the Zamolodchikov tetrahedron equation, which extends the notion of integrability to two-dimensional…

Strongly Correlated Electrons · Physics 2008-12-10 Federico L. Bottesi , Guillermo R. Zemba

We present a class of holographic models that behave effectively as prototypes of Mott insulators, materials where electron-electron interactions dominate transport phenomena. The main ingredient in the gravity dual is that the gauge-field…

High Energy Physics - Theory · Physics 2017-02-01 Matteo Baggioli , Oriol Pujolas

Aspects of electron critical differentiation are clarified in the proximity of the Mott insulator. The flattening of the quasiparticle dispersion appears around momenta $(\pi,0)$ and $(0,\pi)$ on square lattices and determines the…

Superconductivity · Physics 2009-10-31 Masatoshi Imada , Shigeki Onoda
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