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Interacting one-dimensional electron systems are generally referred to as "Luttinger liquids", after the effective low-energy theory in which spin and charge behave as separate degrees of freedom with independent energy scales. The…

Strongly Correlated Electrons · Physics 2015-06-12 Mohammad Soltanieh-ha , Adrian E. Feiguin

We derive the statistical distribution functions for the Hubbard chain with infinite Coulomb repulsion among particles and for the statistical spin liquid with an arbitrary magnitude of the local interaction in momentum space. Haldane's…

Condensed Matter · Physics 2009-10-22 Krzysztof Byczuk , Jozef Spalek

We study the quantum electrodynamics of Luttinger fermions with quadratic band-crossing dispersion in three dimensions. The model can be viewed as the low-energy effective theory of a putative $U(1)$ quantum spin liquid with fermionic…

Strongly Correlated Electrons · Physics 2022-07-22 Santanu Dey , Joseph Maciejko

We study the dynamics of spin-1 atoms in a periodic optical-lattice potential and an external magnetic field in a quantum quench scenario where we start from a superfluid ground state in a shallow lattice potential and suddenly raise the…

Quantum Gases · Physics 2013-08-12 K. W. Mahmud , E. Tiesinga

We develop an operator-based approach to the problem of Luttinger liquid conductor in a non-equilibrium stationary state. We show that the coherent-state many-body fermionic density matrix as well as all fermionic correlation functions out…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 I. V. Protopopov , D. B. Gutman , A. D. Mirlin

We propose a new low-energy theory for itinerant fermions near a ferromagnetic quantum critical point. We show that the full low-energy model includes, in addition to conventional interaction via spin fluctuations, another type of…

Strongly Correlated Electrons · Physics 2015-05-14 Andrey V. Chubukov , Dmitrii L. Maslov

We provide an exact study of dynamical correlations for the quantum spin-orbital liquid phases of an SU(2)-symmetric Kitaev honeycomb lattice model. We show that the spin dynamics in this Kugel-Khomskii type model is exactly the…

Strongly Correlated Electrons · Physics 2020-08-07 Willian M. H. Natori , Johannes Knolle

We explore the life time of excitations in a dispersive Luttinger liquid. We perform a bosonization supplemented by a sequence of unitary transformations that allows us to treat the problem in terms of weakly interacting quasiparticles. The…

Strongly Correlated Electrons · Physics 2014-09-24 I. V. Protopopov , D. B. Gutman , A. D. Mirlin

We carry out an analytical study of quantum spin ice, a U$(1)$ quantum spin liquid close to the classical spin ice solution for an effective spin $1/2$ model with anisotropic exchange couplings $J_{zz}$, $J_{\pm}$ and $J_{z\pm}$ on the…

Strongly Correlated Electrons · Physics 2015-02-13 Zhihao Hao , Alexandre G. R. Day , M. J. P. Gingras

We develop a many-particle quantum-hydrodynamical model of fermion matter interacting with the external classical electromagnetic and gravitational/inertial and torsion fields. The consistent hydrodynamical formulation is constructed for…

High Energy Physics - Theory · Physics 2021-12-17 Mariya Iv. Trukhanova , Yuri N. Obukhov

The theoretical description of interacting fermions in one spatial dimension is simplified by the fact that the low energy spectrum of noniteracting fermions is identical to the one of a harmonic chain. This fermion-boson transmutation…

Strongly Correlated Electrons · Physics 2007-05-23 K. Schonhammer

The inclusion of charging and spin-exchange interactions within the Universal Hamiltonian description of quantum dots is challenging as it leads to a non-Abelian action. Here we present an {\it exact} analytical solution of the probem, in…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 I. S. Burmistrov , Yuval Gefen , M. N. Kiselev

Luttinger liquid theory accounts for the low energy boson excitations of one-dimensional quantum liquids, but disregards the high energy excitations. The most important high energy excitations are holes which have infinite lifetime at zero…

Strongly Correlated Electrons · Physics 2015-06-04 K. A. Matveev , A. V. Andreev

We consider the quantum kinetic-theory description for interacting massive spin-half fermions using the Wigner function formalism. We derive a general kinetic theory description assuming that the spin effects appear at the classical and…

High Energy Physics - Theory · Physics 2023-09-11 Arpan Das , Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski , Rajeev Singh

We investigate the Fermi polaron problem in a spin-1/2 Fermi gas in an optical lattice for the limit of both strong repulsive contact interactions and one dimension. In this limit, a polaronic-like behaviour is not expected, and the physics…

Quantum Gases · Physics 2017-07-11 C. W. Duncan , F. F. Bellotti , P. Öhberg , N. T. Zinner , M. Valiente

We calculate the nonequilibrium dynamic evolution of a one-dimensional system of two-component fermionic atoms after a strong local quench by using a time-dependent spin-density-functional theory. The interaction quench is also considered…

Strongly Correlated Electrons · Physics 2015-05-27 Gao Xianlong

Using methods of kinetic theory and liquid state theory we propose a description of the non-equilibrium behavior of molecular fluids which takes into account their microscopic structure and thermodynamic properties. The present work…

Statistical Mechanics · Physics 2009-02-24 Umberto Marini Bettolo Marconi , Simone Melchionna

Quantum spin liquids (QSLs) host exotic fractionalized magnetic and gauge-field excitations whose microscopic origins and experimental verification remain frustratingly elusive. In the absence of static magnetic order, the spin excitation…

Strongly Correlated Electrons · Physics 2026-03-31 Jiahang Hu , Runze Chi , Yibin Guo , B. Normand , Hai-Jun Liao , T. Xiang

Existence of spinons is the defining property of quantum spin liquids. These exotic excitations have (fractionalized) spin quantum number and no electric charge, and have been proposed to form Fermi surfaces in the recently discovered…

Strongly Correlated Electrons · Physics 2013-11-20 Chui-Zhen Chen , Qing-feng Sun , Fa Wang , X. C. Xie

In this article we develop an exact(non-adiabatic,non-perturbative) density matrix scattering theory for a two component quantum liquid which interacts or scatters off from a generic spin-dependent quantum potential. We find that the number…

Mesoscale and Nanoscale Physics · Physics 2014-04-16 Tribhuvan Prasad Pareek
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