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Understanding the behavior of non-Fermi liquids (NFLs) is an important topic in condensed matter physics. Here we introduce an exactly solvable multi-orbital model based on iron oxypnictides and the Hatsugai-Kohmoto model, and provide exact…

Strongly Correlated Electrons · Physics 2025-08-18 Hui Li , Run-Yu Chen , Wen-Yuan Liu , Yin Zhong , Hai-Qing Lin

In this paper we study a non-equilibrium resonant tunnelling problem where a non-interacting quantum dot is connected to two leads, one being the edge of an interacting 2-D topological insulator (Luttinger liquid) and the other being a…

Mesoscale and Nanoscale Physics · Physics 2011-08-19 Chien Yeah Seng , Tai-Kai Ng

In the present paper, using a molecular dynamics simulation, we study a nature of melting of a two-dimensional ($2D$) system of classical particles interacting through a purely repulsive isotropic core-softened potential which is used for…

Soft Condensed Matter · Physics 2015-06-22 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

Kohn and Luttinger showed that a many body system of fermions interacting via short range forces becomes superfluid even if the interaction is repulsive in all partial waves. In gauge theories such as QCD the interaction between fermions is…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas Schaefer

CDW/Normal metal/CDW junctions and nanoconstrictions in crystals of the quasi-one-dimensional conductor NbSe$_3$ are manufactured using a focused-ion-beam. It is found that the low-temperature conduction of these structures changes…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Zaitsev-Zotov , M. S. H. Go , E. Slot , H. S. J. van der Zant

Quantum link models are extensions of Wilson-type lattice gauge theories which realize exact gauge invariance with finite-dimensional Hilbert spaces. Quantum link models not only reproduce the standard features of Wilson's lattice gauge…

Strongly Correlated Electrons · Physics 2019-07-03 Yi-Ping Huang , Debasish Banerjee , Markus Heyl

Understanding the origins of unconventional superconductivity has been a major focus of condensed matter physics for many decades. While many questions remain unanswered, experiments have found that the systems with the highest critical…

Quantum Gases · Physics 2021-06-23 Lennart Sobirey , Hauke Biss , Niclas Luick , Markus Bohlen , Henning Moritz , Thomas Lompe

Strange metal behavior is traditionally associated with an underlying putative quantum critical point at zero temperature. However, in many correlated metals, e.g., high-Tc cuprate superconductors, strange metallicity persists at low…

Strongly Correlated Electrons · Physics 2024-10-11 Evyatar Tulipman , Noga Bashan , Jörg Schmalian , Erez Berg

The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

Statistical Mechanics · Physics 2025-10-02 Akhilesh M P , Toby Joseph

We present numerical evidence for a paradigm in one-dimensional interacting fermion systems, whose phenomenology has traits of both Luttinger liquids and Fermi liquids. This state, dubbed a quasi-Fermi liquid, possesses a discontinuity in…

Strongly Correlated Electrons · Physics 2024-02-05 Joshua D. Baktay , Alexander V. Rozhkov , Adrian E. Feiguin , Julian Rincon

In this paper we initiate the study of holographic quantum liquids in 1+1 dimensions. Since the Landau Fermi liquid theory breaks down in 1+1 dimensions, it is of interest to see what holographic methods have to say about similar models.…

High Energy Physics - Theory · Physics 2014-11-20 Ling-Yan Hung , Aninda Sinha

We study a lattice realization of a Luttinger liquid interacting with a bath of quantum spins in terms of an antiferromagnetic S=1/2 Heisenberg chain, where each spin is also coupled to a \sigma=1/2 Kondo spin degree of freedom. This model…

Strongly Correlated Electrons · Physics 2007-09-12 F. H. L. Essler , T. Kuzmenko , I. A. Zaliznyak

We consider the properties of $T=0$ quantum phases of matter - especially superconducting and analogous spin-liquid phases - on infinite cylinders of width $L_\perp$ and analyze the ways in which the $L_\perp \to \infty$ (2d) limit is…

Strongly Correlated Electrons · Physics 2023-02-22 Yuval Gannot , Steven A. Kivelson

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

In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Matthew P. A. Fisher , Leonid I. Glazman

We consider a specific generalisation to spatial dimensions d greater than one of a formalism based upon conservation laws and the associated Ward identities, that exactly solves the one-dimensional Luttinger model, and expose its…

Strongly Correlated Electrons · Physics 2009-10-31 Behnam Farid

We theoretically investigate transport in a spin incoherent one dimensional electron system, which may be realized in quantum wires at low electron density and finite temperature. Both the pure and disordered cases are considered, both in…

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

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

We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger liquids is relevant and fascinating and review some…

Strongly Correlated Electrons · Physics 2009-10-31 Sumathi Rao

Liquid drops are everywhere around us and important in numerous technological applications. Here, we demonstrate a quasi-two-dimensional (Q2D) analogy to the regular, often close to axisymmetric, three-dimensional (3D) drops. The Q2D drops…

Fluid Dynamics · Physics 2024-01-23 Tytti Kärki , Into Pääkkönen , Nikos Kyriakopoulos , Jaakko V. I. Timonen