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We discuss an integrable model describing one-dimensional electrons interacting with two-dimensional anharmonic phonons. In the low temperature limit it is possible to decouple phonons and consider one-dimensional excitations separately.…

Strongly Correlated Electrons · Physics 2009-10-31 Catherine Pépin , Alexei M. Tsvelik

A conformal field theory representing a four-dimensional classical solution of heterotic string theory is presented. The low-energy limit of this solution has U(1) electric and magnetic charges, and also nontrivial axion and dilaton fields.…

High Energy Physics - Theory · Physics 2014-11-18 Clifford V. Johnson , Robert C. Myers

We discuss the properties of interacting electrons on a finite chain with open boundary conditions. We extend the Haldane Luttinger liquid description to these systems and study how the presence of the boundaries modifies various…

Condensed Matter · Physics 2009-10-28 M. Fabrizio , Alexander O. Gogolin

We study the correlation functions between the dynamical variables and between their conjugate momenta at sites of a harmonic lattice in the $d$-dimensional Euclidean space. We show that at the thermodynamic limit, they can be expressed in…

High Energy Physics - Theory · Physics 2026-05-05 Masafumi Shimojo , Satoshi Ishihara , Hironobu Kataoka , Atsuko Matsukawa , Kazuo Koyama

The optical properties of quasi-one-dimensional metallic LaTiO$_{3.41}$ are studied for the polarization along the $a$ and $b$ axes. With decreasing temperature modes appear along both directions suggestive for a phase transition. The…

Condensed Matter · Physics 2009-11-07 C. A. Kuntscher , M. Dressel , F. Lichtenberg , J. Mannhart , D. van der Marel

An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and…

Nuclear Theory · Physics 2018-02-16 Stefan Typel , David Blaschke

We analyze, in perturbation theory, a theory of weakly interacting fractons and non-relativistic fermions in a 2+1 dimensional Quantum Field Theory. In particular we compute the 1-loop corrections to the self energies and interaction…

High Energy Physics - Theory · Physics 2023-03-01 Jacques Distler , Murtaza Jafry , Andreas Karch , Amir Raz

To explore the static properties of the one-dimensional anyon-Hubbard model for a mean density of one particle per site, we apply perturbation theory with respect to the ratio between kinetic energy and interaction energy in the Mott…

Quantum Gases · Physics 2017-06-27 Florian Lange , Satoshi Ejima , Holger Fehske

We propose a generalization of the replica trick that allows to calculate the large distance asymptotic of off-diagonal correlation functions in anyonic models with a proper factorizable ground-state wave-function. We apply this new method…

Strongly Correlated Electrons · Physics 2011-07-19 Pasquale Calabrese , Raoul Santachiara

We analyze the dynamics between 1/$\lambda$-fractional statistics particles (anyons) in an exact three-body solution of the Sutherland Hamiltonian. We show that anyons interact by means of a short-range attraction. The interaction dictates…

Strongly Correlated Electrons · Physics 2007-05-23 B. A. Bernevig , D. Giuliano , D. I. Santiago

Based on our derivation of finite temperature reduced density matrix functional theory and the discussion of the performance of its first-order functional this work presents several different correlation-energy functionals and applies them…

Other Condensed Matter · Physics 2012-08-24 Tim Baldsiefen , E. K. U. Gross

We study a two dimensional (2D) system of interacting quantum bosons, subjected to a continuous periodic potential in one direction. The correlation of such system exhibits a dimensional crossover between a canonical 2D behavior with…

Quantum Gases · Physics 2023-07-26 Hepeng Yao , Lorenzo Pizzino , Thierry Giamarchi

A simple formula for the zero-temperature linear response conductance of an interacting mesoscopic region, threaded by magnetic flux, and attached to noninteracting single-channel leads is presented. The formula is valid for a general…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Tomaz Rejec , Anton Ramsak

We use renormalization group methods to study composite operators existing at a boundary of an interacting conformal field theory. In particular we relate the data on boundary operators to short-distance (near-boundary) divergences of bulk…

High Energy Physics - Theory · Physics 2020-04-22 Vladimír Procházka , Alexander Söderberg

Using data from equilibrium Molecular Dynamics computer simulations we have built up a catalogue of response functions for the Coulomb one-component plasma (OCP) over a wide range of $\Gamma$ coupling values, including the strongly coupled…

Plasma Physics · Physics 2021-07-14 Péter Magyar , Gabor J. Kalman , Peter Hartmann , Zoltán Donkó

We construct models of interacting itinerant non-Abelian anyons moving along one-dimensional chains, focusing in particular on itinerant Ising anyon chains, and derive effective anyonic t-J models for the low energy sectors. Solving these…

Strongly Correlated Electrons · Physics 2012-05-16 Didier Poilblanc , Matthias Troyer , Eddy Ardonne , Parsa Bonderson

We provide a thorough characterisation of the zero-temperature one-particle density matrix of trapped interacting anyonic gases in one dimension, exploiting recent advances in the field theory description of spatially inhomogeneous quantum…

Statistical Mechanics · Physics 2020-09-15 Stefano Scopa , Lorenzo Piroli , Pasquale Calabrese

Finite temperature Euclidean SU(2) lattice gauge fields generated in the confinement phase close to the deconfinement phase transition are subjected to cooling. The aim is to identify long-living, almost-classical local excitations which…

High Energy Physics - Lattice · Physics 2009-11-07 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , S. Shcheredin , A. I. Veselov

Using a path integral approach and bosonization, we calculate the low energy asymptotics of the one particle Green's function for a ``magnetically incoherent'' one dimensional strongly interacting electron gas at temperatures much greater…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Leon Balents

We study the dynamical correlation functions and heat conduction for the simplest model of quasi one-dimensional (1d) dielectric crystal i.e. a chain of classical particles coupled by quadratic and cubic intersite potential. Even in the…

Statistical Mechanics · Physics 2009-10-31 Stefano Lepri