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We propose a scheme for investigating the quantum dynamics of interacting electron models by means of time-dependent variational principle and spin coherent states of space lattice operators. We apply such a scheme to the one-dimensional…

Superconductivity · Physics 2009-10-31 Arianna Montorsi , Vittorio Penna

The momentum, fermionic density, spin density, and interaction dependencies of the exponents that control the (momentum-energy)-plane singular features of the one-fermion spectral functions of a one-dimensional gas of spin-1/2 fermions with…

Strongly Correlated Electrons · Physics 2019-05-01 T. Cadez , S. Nemati , J. M. P. Carmelo

We discuss the nature of the different ground states of the half-filled Holstein model of spinless fermions in 1D. In the metallic regime we determine the renormalised effective coupling constant and the velocity of the charge excitations…

Strongly Correlated Electrons · Physics 2007-05-23 H. Fehske , G. Wellein , G. Hager , A. Weisse , K. W. Becker , A. R. Bishop

We develop a detailed theory for spin transport in a one-dimensional quantum wire described by Luttinger liquid theory. A hydrodynamic description for the quantum wire is supplemented by boundary conditions taking into account the exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Reinhold Egger

We study the influence of spin on the quantum interference of interacting electrons in a single-channel disordered quantum wire within the framework of the Luttinger liquid (LL) model. The nature of the electron interference in a spinful LL…

Strongly Correlated Electrons · Physics 2008-11-08 A. G. Yashenkin , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

For many years, the Luttinger liquid theory has served as a useful paradigm for the description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is based on a linearization of the dispersion relation of the…

Strongly Correlated Electrons · Physics 2012-09-18 Adilet Imambekov , Thomas L. Schmidt , Leonid I. Glazman

We review recent advances in experimental and theoretical understanding of spin transport in strongly interacting Fermi gases. The central new phenomenon is the observation of a lower bound on the (bare) spin diffusivity in the strongly…

Quantum Gases · Physics 2019-03-13 Tilman Enss , Joseph H. Thywissen

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

The one-particle Green's function of the Tomonaga-Luttinger model for one-dimensional interacting Fermions is discussed. Far away from the origin of the plane of space-time coordinates the function falls off like a power law. The exponent…

Strongly Correlated Electrons · Physics 2016-08-31 V. Meden

Elementary particles such as the electron carry several quantum numbers, for example, charge and spin. However, in an ensemble of strongly interacting particles, the emerging degrees of freedom can fundamentally differ from those of the…

We discuss the properties of a strongly interacting spin-charge separated one dimensional system coupled to ferromagnets and/or superconductors. Our results are valid for arbitrary temperatures with respect to the spin energy, but require…

Strongly Correlated Electrons · Physics 2009-03-19 Dagim Tilahun , Gregory A. Fiete

A system of one-dimensional electrons interacting via a short-range potential described by Hubbard model is considered in the regime of strong coupling using the Bethe ansatz approach. We study its momentum distribution function at zero…

Strongly Correlated Electrons · Physics 2022-03-31 O. Tsyplyatyev

We study the one-dimensional Fermionic Hubbard model with SU(N) spin symmetry in the incommensurate filling case. The basic properties of Green's function, momentum distribution and tunneling density of states of the system at low…

Strongly Correlated Electrons · Physics 2019-03-20 Shuang Liang , Deping Zhang , Wei Chen

We study the response of a single-component pair-correlated baryonic Fermi-liquid to density, spin, and their current perturbations. A complete set of response functions is derived in the low-temperature regime both within an effective…

Nuclear Theory · Physics 2013-04-25 Jochen Keller , Armen Sedrakian

We present an exact analytical solution of the fundamental system of quasi-one-dimensional spin-1 bosons with infinite delta-repulsion. The eigenfunctions are constructed from the wave functions of non-interacting spinless fermions, based…

Other Condensed Matter · Physics 2008-04-27 Frank Deuretzbacher , Klaus Fredenhagen , Daniel Becker , Kai Bongs , Klaus Sengstock , Daniela Pfannkuche

We consider spinless electrons in two dimensions with the bare spectrum $\epsilon({\bf p})=|p_x|+|p_y|$. In momentum space, the interactions among electrons have a finite range $q_0$, which is small compared to the Fermi momentum. A golden…

Condensed Matter · Physics 2009-10-22 R. Hlubina

The general 2-dimensional fermion system with repulsive interactions (typified by the Hubbard Model) is bosonized, taking into account the finite on-shell forward scattering phase shift derived in earlier papers. By taking this phase shift…

Condensed Matter · Physics 2009-10-28 P. W. Anderson , D. Khveshchenko

An accurate numerical consideration of 1D spinless fermion model with next-nearest neighbour (NNN) interactions is carried out for the electron concentrations 4/7. It is shown that depending on the parameters of the model it can be either…

Strongly Correlated Electrons · Physics 2009-10-31 A. K. Zhuravlev , M. I. Katsnelson

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 describe some field theoretic methods for studying quantum spin systems in one dimension. These include the nonlinear sigma-model approach which is particularly useful for large values of the spin, the idea of Luttinger liquids and…

Strongly Correlated Electrons · Physics 2007-05-23 Diptiman Sen