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Related papers: Luttinger liquid with asymmetric dispersion

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We study the tunneling into the edge of the Luttinger liquid with periodically modulated concentration of electrons. It is shown that the modulation,by causing a gap in the spectrum of plasmons, leads to an additional anomaly in the density…

Condensed Matter · Physics 2009-10-28 A. Gramada , M. E. Raikh

Luttinger liquids (LLs) are one dimensional systems with well-understood instabilities due to umklapp or backscattering. We study a generalization of the Luttinger model, which incorporates a time reversal symmetry breaking interaction…

Strongly Correlated Electrons · Physics 2016-02-15 Balázs Dóra , Roderich Moessner

We study the renormalization of the Fermi-liquid parameters in the vicinity of a density wave quantum phase transition, which should occur in MOSFET systems at low densities. First, using a perturbative RPA treatment of fluctuations, we…

Strongly Correlated Electrons · Physics 2008-01-14 Victor Galitski , V. A. Khodel

We investigate the generic transport in a one-dimensional strongly correlated fermionic chain beyond linear response. Starting from a Gaussian wave packet with positive momentum on top of the ground state, we find that the numerical time…

Strongly Correlated Electrons · Physics 2025-07-24 Flávia B. Ramos , Rodrigo G. Pereira , Sebastian Eggert , Imke Schneider

We develop a theory for a generic instability of a Fermi liquid in dimension d>1 against the formation of a Luttinger-liquid-like state. The density of states at the Fermi level is the order parameter for the ensuing quantum phase…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

The Tomonaga-Luttinger liquid (TLL) theory describes the low-energy excitations of strongly correlated one-dimensional (1D) fermions. In the past years, a number of studies have provided a detailed understanding of this universality class.…

Quantum Gases · Physics 2023-06-05 Danyel Cavazos-Cavazos , Ruwan Senaratne , Aashish Kafle , Randall G. Hulet

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

Using bosonization and path integral methods, we study general low temperature behavior of non-magnetic and magnetic impurity scattering in Tomonaga-Luttinger liquid, and calculate electron Green function for a general backward scattering…

Condensed Matter · Physics 2009-10-31 Yu-Liang Liu

The low--energy excited states of a system of interacting one--dimensional fermions in a conducting state are collective charge and spin density oscillations. The unusual physical properties of such a system (called ``Luttinger liquid'')…

Condensed Matter · Physics 2007-05-23 H. J. Schulz

We introduce a new model for quasi one-dimensional materials, motivated by intriguing but not yet well-understood experiments that have shown two-dimensional polymer films to be promising materials for thermoelectric devices. We consider a…

Strongly Correlated Electrons · Physics 2017-03-08 Aaron Szasz , Roni Ilan , Joel E. Moore

The one electron spectral functions for the Luttinger model are discussed for large but finite systems. The methods presented allow a simple interpretation of the results. For finite range interactions interesting nonunivesal spectral…

Condensed Matter · Physics 2009-10-22 K. Schönhammer , V. Meden

The single impurity problem in a spinful Tomonaga-Luttinger liquid is studied numerically using path-integral Monte Carlo methods. The advantage of our approach is that the system allows for extensive analyses of charge and spin conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuji Hamamoto , Ken-Ichiro Imura , Takeo Kato

We consider a system of spinless fermions in a nearly one-dimensional cylindrical trap. We introduce four-fermion interaction terms through which particles in low-lying modes of the trap may interact with particles in radially or angularly…

Condensed Matter · Physics 2007-05-23 B. Altschul

We study the rapidity distribution in the Lieb-Liniger model and derive exact relations for its derivatives at the Fermi level. The latter enables us to treat analytically the free energy of the system at low temperatures and arbitrary…

Statistical Mechanics · Physics 2025-07-15 Miłosz Panfil , Zoran Ristivojevic

Asymptotic behavior of generic Tomonaga-Luttinger liquid in the vicinity of phase-separated regions is known to produce an instability where well-known relativistic Conformal Field Theory (CFT) techniques fail. In this letter, we introduce…

High Energy Physics - Theory · Physics 2025-01-29 Sourav Biswas , Ashutosh Dubey , Saikat Mondal , Aritra Banerjee , Arijit Kundu , Arjun Bagchi

We consider two-component one-dimensional quantum gases with density imbalance. While generically such fluids are two-component Luttinger liquids, we show that if the ratio of the densities is a rational number, p/q, and mass asymmetry…

Quantum Gases · Physics 2015-05-13 Evgeni Burovski , Giuliano Orso , Thierry Jolicoeur

We study how a Luttinger liquid of spinless particles in one dimension approaches thermal equilibrium. Full equilibration requires processes of backscattering of excitations which occur at energies of order of the bandwidth. Such processes…

Strongly Correlated Electrons · Physics 2012-01-25 K. A. Matveev , A. V. Andreev

The one-dimensional (1D) Yang-Gaudin model-an integrable $\delta$-function interacting Fermi gas, serves as a paradigm in quantum many-body physics, encompassing phenomena from spin-charge separation to the Luther-Emery liquid. However, a…

Quantum Gases · Physics 2026-03-17 Hai-Ying Cui , Yu-Hao Yeh , Randall G. Hulet , Han Pu , Thierry Giamarchi , Xi-Wen Guan

We analyze the properties of a Luttinger liquid under the influence of a periodic driving of the interaction strength. Irrespective of the details the driven system develops an instability due to a parametric resonance. For slow and fast…

Strongly Correlated Electrons · Physics 2013-01-29 Marin Bukov , Markus Heyl

We study a one-dimensional lattice model of fractional statistics in which particles have next-nearest-neighbor hopping between sites which depends on the occupation number at the intermediate site and a statistical parameter $\phi$. The…

Strongly Correlated Electrons · Physics 2021-06-30 Sreemayee Aditya , Diptiman Sen
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