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Recent success in manipulating ultra-cold atomic systems allows to probe different strongly correlated regimes in one-dimension. Regimes such as the (spin-coherent) Luttinger liquid and the spin-incoherent Luttinger liquid can be realized…

Other Condensed Matter · Physics 2008-12-15 Paata Kakashvili , S. G. Bhongale , Han Pu , C. J. Bolech

We consider the low-temperature transport properties of critical one-dimensional systems which can be described, at equilibrium, by a Luttinger liquid. We focus on the prototypical setting where two semi-infinite chains are prepared in two…

Statistical Mechanics · Physics 2018-04-26 Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We investigate the effect of both strong and weak potential scattering caused by local impurities and extended (line) defects in the array of Luttinger liquid wires. We find that in both cases a finite range inter-wire interaction…

Strongly Correlated Electrons · Physics 2017-10-10 A. L. Chudnovskiy , V. Kagalovsky , I. V. Yurkevich

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

One-dimensional (1D) electron systems in the presence of Coulomb interaction are described by Luttinger liquid theory. The strength of Coulomb interaction in the Luttinger liquid, as parameterized by the Luttinger parameter K, is in general…

Strongly Correlated Electrons · Physics 2017-06-21 Tobias Müller , Ronny Thomale , Björn Trauzettel , Erwann Bocquillon , Oleksiy Kashuba

Recent experiments have revealed that the temperature dependence of the conductance of quasi-ballistic quantum wires bears clear features of the Luttinger-liquid state. In this paper, the conductance of an N-channel quantum wire is…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Nancy Sandler , Dmitrii L. Maslov

Many one--dimensional quantum systems, in particular interacting electron and spin systems, can be described a Luttinger liquids. Here, some basic ideas of this picture of one--dimensional systems are briefly reviewed. I then discuss the…

Condensed Matter · Physics 2009-10-28 H. J. Schulz

We study the properties of interacting electrons in a one-dimensional conduction band coupled to bulk non-collinear ferromagnetic order. The specific form of non-collinearity we consider is that of an extended domain wall. The presence of…

Strongly Correlated Electrons · Physics 2011-07-18 N. Sedlmayr , S. Eggert , J. Sirker

We investigate discrepancies between recent experimental results on transport through one-dimensional quantum dots and universal power laws predicted by an idealized Luttinger Liquid description. The temperature dependence of Coulomb…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Kleimann , J. Stockburger , M. Sassetti , B. Kramer

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

A system of N two-level atoms cooperatively interacting with a photonic field can be described as a single giant atom coupled to the field with interaction strength ~N^0.5. This enhancement, known as Dicke cooperativity in quantum optics,…

The persistent current in small isolated rings enclosing magnetic flux is the current circulating in equilibrium in the absence of an external excitation. While initially studied in superconducting and normal metals, recently, atomic…

Quantum Gases · Physics 2022-03-08 Ovidiu I. Patu , Dmitri V. Averin

Quantum lattice systems are rigorously studied at low temperatures. When the Hamiltonian of the system consists of a potential (diagonal) term and a - small - off-diagonal matrix containing typically quantum effects, such as a hopping…

Statistical Mechanics · Physics 2009-10-31 R. Kotecky , D. Ueltschi

In many physical situations in which many-body assemblies exist at temperature $T$, a characteristic quantum-mechanical time scale of approximately $\hbar/k_{B}T$ can be identified in both theory and experiment, leading to speculation that…

Strongly Correlated Electrons · Physics 2024-10-30 F. Sun , S. Mishra , U. Stockert , R. Daou , N. Kikugawa , R. S. Perry , E. Hassinger , S. A. Hartnoll , A. P. Mackenzie , V. Sunko

We model one-dimensional transport through each open channel of a quantum wire by a Luttinger liquid with three different interaction parameters for the leads, the contact regions and the wire, and with two barriers at the contacts. We show…

Strongly Correlated Electrons · Physics 2009-10-31 Siddhartha Lal , Sumathi Rao , Diptiman Sen

A first-principles density functional method along with the direct solution of linearized Boltzmann transport equations are employed to systematically analyze the low-temperature thermal transport in crystalline GeTe. The extensive thermal…

Materials Science · Physics 2020-09-28 Kanka Ghosh , Andrzej Kusiak , Jean-Luc Battaglia

Charge transport is a revealing probe of the quantum properties of materials. Strong interactions can blur charge carriers resulting in a poorly understood "quantum soup". Here we study the conductivity of the Fermi-Hubbard model, a testing…

We consider a short-range deformation potential scattering model of electron-acoustic phonon interaction to calculate the resistivity of an ideal metal as a function of temperature (T) and electron density (n). We consider both 3D metals…

Strongly Correlated Electrons · Physics 2019-02-07 E. H. Hwang , S. Das Sarma

We present a lattice QCD calculation of the charge diffusion coefficient, the electrical conductivity and various susceptibilities of conserved charges, for a range of temperatures below and above the deconfinement crossover. The…

High Energy Physics - Lattice · Physics 2015-06-23 Gert Aarts , Chris Allton , Alessandro Amato , Pietro Giudice , Simon Hands , Jon-Ivar Skullerud

We study a steady state non-equilibrium transport between two interacting helical edge states of a two dimensional topological insulator, described by helical Luttinger liquids, through a quantum dot. For non-interacting dot the current is…

Strongly Correlated Electrons · Physics 2013-09-02 Sung-Po Chao , Salman A. Silotri , Chung-Hou Chung