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For many years, the Luttinger liquid theory has served as a useful paradigm for the description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is based on a linearization of the dispersion relation of the…

Strongly Correlated Electrons · Physics 2012-09-18 Adilet Imambekov , Thomas L. Schmidt , Leonid I. Glazman

Charged systems interacting via Coulomb forces can be efficiently simulated by introducing a local, diffusing degree of freedom for the electric field. This paper formulates the continuum electrodynamic equations corresponding to the…

Statistical Mechanics · Physics 2009-11-07 A. C. Maggs

The presence of pronounced electronic correlations in one-dimensional systems strongly enhances Coulomb coupling and is expected to result in distinctive features in the Coulomb drag between them that are absent in the drag between…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Debray , V. Gurevich , R. Klesse , R. S. Newrock

We present a recently developed one-dimensional dipole lattice model that accurately captures the key properties of water in narrow nanopores. For this model, we derive three equivalent representations of the Hamiltonian that together yield…

Chemical Physics · Physics 2015-05-13 Jürgen Köfinger , Gerhard Hummer , Christoph Dellago

One-dimensional Coulomb drag has been an essential tool to probe the physics of interacting Tomonaga-Luttinger liquids. To date, most experimental work has focused on the linear regime while the predictions for Luttinger liquids beyond the…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Mingyang Zheng , Rebika Makaju , Rasul Gazizulin , Alex Levchenko , Sadhvikas J. Addamane , Dominique Laroche

Quantum mechanics dominates various effects in modern research from miniaturizing electronics, up to potentially ruling solid-state physics, quantum chemistry and biology. To study these effects experimental quantum systems may provide the…

Quantum Physics · Physics 2019-09-11 Frederick Hakelberg , Philip Kiefer , Matthias Wittemer , Ulrich Warring , Tobias Schaetz

The spinless fermion model with hard core repulsive potential extended on a few lattice sites is considered.The Luttinger liquid behaviour is studied for the different values of a hard core radius. A critical exponent of the one particle…

Strongly Correlated Electrons · Physics 2009-11-07 Igor N. Karnaukhov , Alexander A. Ovchinnikov

In this work we investigate a low dimensional semiconductor system, in which the light-matter interaction is enhanced by the cooperative behavior of a large number of dipolar oscillators, at different frequencies, mutually phase locked by…

We investigate the lattice Coulomb glass model in three dimensions via Monte Carlo simulations. No evidence for an equilibrium glass phase is found down to very low temperatures, although the correlation length increases rapidly near T=0. A…

Disordered Systems and Neural Networks · Physics 2009-07-27 Martin Goethe , Matteo Palassini

The properties of a system of charged particles on a 2D lattice, subject to an anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion are investigated. In the mean-field approximation without Coulomb interaction, the system…

Strongly Correlated Electrons · Physics 2008-11-19 T. Mertelj , V. V. Kabanov , D. Mihailovic

The confinement of an ionic liquid between charged solid surfaces is treated using an exactly solvable 1D Coulomb gas model. The theory highlights the importance of two dimensionless parameters: the fugacity of the ionic liquid, and the…

Soft Condensed Matter · Physics 2014-09-08 Alpha A Lee , Dominic Vella , Susan Perkin , Alain Goriely

We investigate the effects of the Coulomb two-body interaction on Fermi liquids via bosonization. The Coulomb interaction is singular in the limit of low momentum transfer, and recent interest in the possibility that some singular…

Condensed Matter · Physics 2012-09-28 A. Houghton , H. -J. Kwon , J. B. Marston , R. Shankar

Conditions at which a quasi-one-dimensional (1D) electron system can be considered as a quantum liquid of impenetrable charged particles are theoretically analyzed. In the presence of an inert, neutralizing background, a motion of…

Superconductivity · Physics 2024-06-21 Yu. P. Monarkha

We theoretically study Coulomb drag between two helical edges with broken spin-rotational symmetry, such as would occur in two capacitively coupled quantum spin Hall insulators. For the helical edges, Coulomb drag is particularly…

Mesoscale and Nanoscale Physics · Physics 2017-02-13 N. Kainaris , I. V. Gornyi , A. Levchenko , D. G. Polyakov

An instability of the quasi-1D Luttinger liquid associated with the metal - insulator transition is considered. The homogeneous metal ground state of this liquid is demonstrated to be unstable and the charge-density wave arises in the…

Strongly Correlated Electrons · Physics 2009-10-31 V. S. Babichenko

The specific heat of the Coulomb glass is studied by numerical simulations. Both the lattice model with various strengths of disorder, and the random-position model are considered for the one- to three-dimensional cases. In order to extend…

Disordered Systems and Neural Networks · Physics 2015-06-24 A. Mobius , P. Thomas , J. Talamantes , C. J. Adkins

We study the equilibrium statistical mechanics of classical two-dimensional Coulomb systems living on a pseudosphere (an infinite surface of constant negative curvature). The Coulomb potential created by one point charge exists and goes to…

Condensed Matter · Physics 2007-05-23 B. Jancovici , G. Tellez

We propose a physical setup that can be used to simulate the quantum dynamics of the Ising model with present-day technology. Our scheme consists of electrons floating on superfluid helium which interact via Coulomb forces. In the limit of…

Quantum Physics · Physics 2010-05-19 Sarah Mostame , Ralf Schützhold

Correlated materials are extremely sensitive to external stimuli, such as temperature or pressure. Describing the electronic properties of such systems often requires applying many-body techniques to effective low energy problems in the…

Strongly Correlated Electrons · Physics 2009-07-09 Jan M. Tomczak , T. Miyake , R. Sakuma , F. Aryasetiawan

We use a mean-field (Hartree-like) approach to study the conductance of a strongly localized electron system in two dimensions. We find a crossover between a regime where Coulomb interactions modify the conductance significantly to a regime…

Disordered Systems and Neural Networks · Physics 2015-05-14 Ariel Amir , Yuval Oreg , Yoseph Imry