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Interactions between electrons in one-dimension are fully described at low energies by only a few parameters of the Tomonaga-Luttinger model which is based on linearisation of the spectrum. We consider a model of spinless fermions with a…

Strongly Correlated Electrons · Physics 2015-06-16 O. Tsyplyatyev , A. J. Schofield

We compute the effects of electronic interactions on gapless spin-3/2 excitations that in a noninteracting system emerge at a bi-quadratic touching of Kramers degenerate valence and conduction bands, known as Luttinger semimetal. This model…

Strongly Correlated Electrons · Physics 2021-04-29 Andras Szabo , Roderich Moessner , Bitan Roy

We investigate the electronic properties and electron correlations in a three-dimensional (3D) polaron system with tunable dispersion parameter in Fermi-liquid picture. The polaronic coupling is considered as a weakly attractive bare…

Strongly Correlated Electrons · Physics 2020-04-24 Chen-Huan Wu

We compute the phase diagram of a one-dimensional model of spinless fermions with pair-hopping and nearest-neighbor interaction, first introduced by Ruhman and Altman, using the density-matrix renormalization group combined with various…

Strongly Correlated Electrons · Physics 2021-09-23 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

The emergence of fractonic topological phases and novel universality classes for quantum dynamics highlights the importance of dipolar symmetry in condensed matter systems. In this work, we study the properties of symmetry-breaking phases…

Strongly Correlated Electrons · Physics 2023-11-01 Amogh Anakru , Zhen Bi

We show that the low-density strongly interacting electron liquid, interacting via the long-range Coulomb interaction, could develop a dispersion instability at a critical density associated with the approximate flattening of the…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , V. M. Yakovenko , S. Das Sarma

One-dimensional spinor gases with strong delta interaction fermionize and form a spin chain. The spatial degrees of freedom of this atom chain can be described by a mapping to spinless noninteracting fermions and the spin degrees of freedom…

Quantum Gases · Physics 2016-09-22 Frank Deuretzbacher , Daniel Becker , Luis Santos

The electronic system of the 1D Hubbard model is not stable due to Peierls instability; the correlations are strong even for the weak Coulomb interaction. The resulting strongly correlated state without Landau quisi--particle excitations is…

Strongly Correlated Electrons · Physics 2017-07-07 N. I. Chashchin

We provide a comprehensive theoretical investigation of the Fermi liquid quasiparticle description in two-dimensional electron gas interacting via the long-range Coulomb interaction by calculating the electron self-energy within the…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Seongjin Ahn , Sankar Das Sarma

We use a bosonization approach to show that the momentum distribution $n_{\bf{k}}$ of normal Fermi systems with sufficiently singular interactions is analytic in the vicinity of the non-interacting Fermi surface. These include singular…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

In a series of ten papers, of which this is the first, we prove that the temperature zero renormalized perturbation expansions of a class of interacting many-fermion models in two space dimensions have nonzero radius of convergence. The…

Mathematical Physics · Physics 2007-05-23 Joel Feldman , Horst Knoerrer , Eugene Trubowitz

We study the problem of evolution of a density pulse of one-dimensional interacting fermions with a non-linear single-particle spectrum. We show that, despite non-Fermi-liquid nature of the problem, non-equilibrium phenomena can be…

Strongly Correlated Electrons · Physics 2014-04-30 I. V. Protopopov , D. B. Gutman , M. Oldenburg , A. D. Mirlin

We consider the spin response of a normal Fermi liquid with noncentral interactions under conditions intermediate between the collisionless and hydrodynamic regimes. This problem is of importance for calculations of neutrino properties in…

Nuclear Theory · Physics 2013-05-29 C. J. Pethick , A. Schwenk

We study a simple model of a quantum Hall system with the electrons confined to a linear, narrow channel. The system is mapped to a 1D system which in the low-energy approximation has the form of a Luttinger liquid with different…

Strongly Correlated Electrons · Physics 2009-11-13 Mats Horsdal , Jon Magne Leinaas

Interacting electrons with a square Fermi surface is investigated from a bosonic point of view taking into account electron scattering between all faces of the square. Fermion operators are classified according to their dimensions and the…

Strongly Correlated Electrons · Physics 2009-11-11 Olav F. Syljuasen , A. Luther

Landau's quasiparticle formalism is generalized to describe a wide class of strongly correlated Fermi systems, in addition to conventional Fermi liquids. This class includes (i) so-called marginal exemplars and (ii) systems that harbor…

Strongly Correlated Electrons · Physics 2024-03-12 V. A. Khodel , J. W. Clark , M. V. Zverev

We apply a recently proposed path-integral approach to non-local bosonization to a Thirring-like system modeling non-relativistic massless particles interacting with localized fermionic impurities. We consider forward scattering processes…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Naon , M. C. von Reichenbach , M. L. Trobo

We calculate the self-energy of one-dimensional electron band with the three-dimensional long range Coulomb interaction within the random phase approximation, paying particular attention to the contribution coming from the electron…

Condensed Matter · Physics 2007-05-23 Z. Agic , P. Zupanovic , A. Bjelis

The search for exotic quantum spin liquid states in simple yet realistic spin models remains a central challenge in the field of frustrated quantum magnetism. Here we consider the canonical nearest-neighbor kagome Heisenberg antiferromagnet…

Strongly Correlated Electrons · Physics 2018-08-29 Amir M-Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash

We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci
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