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The evolution of correlations in the \emph{exactly} solvable Luttinger model (a model of interacting fermions in one dimension) after a sudden interaction switch-on is \emph{analytically} studied. When the model is defined on a finite-size…

统计力学 · 物理学 2007-05-23 M. A. Cazalilla

Experiments on quasi-one-dimensional systems such as quantum wires and metallic chains on surfaces suggest the existence of electron-electron interactions of substantial range and hence physics beyond the Hubbard model. We therefore…

强关联电子 · 物理学 2012-05-31 Martin Hohenadler , Stefan Wessel , Maria Daghofer , Fakher F. Assaad

Recent years have seen the development of a rich phenomenology beyond the Luttinger Liquid model of one dimensional quantum fluids, arising from interactions between the elementary phonon excitations. It has been known for some time,…

量子气体 · 物理学 2015-09-29 Tom Price , Austen Lamacraft

We calculate the excitation spectra of a spin-polarized Hubbard chain away from half-filling, using a high-precision momentum-resolved time-dependent Density Matrix Renormalization Group method. Focusing on the U<0 case, we present in some…

强关联电子 · 物理学 2009-04-01 Adrian E. Feiguin , David A. Huse

We study spin-1/2 fermions in spin dependent potentials under the \emph{spin model approximation}, in which interatomic collisions that change the total occupation of single-particle modes are ignored. The spin model approximation maps the…

量子气体 · 物理学 2020-09-02 Michael L. Wall

Many one--dimensional quantum systems, in particular interacting electron and spin systems, can be described a Luttinger liquids. Here, some basic ideas of this picture of one--dimensional systems are briefly reviewed. I then discuss the…

凝聚态物理 · 物理学 2009-10-28 H. J. Schulz

Measurements of the spin-lattice relaxation rate 1/T_1 by nuclear magnetic resonance for the one-dimensional Heisenberg antiferromagnet Sr_2CuO_3 have provided evidence for a diffusion-like contribution at finite temperature and small…

强关联电子 · 物理学 2007-05-23 J. Sirker

The physics of the strongly interacting Hubbard chain (with $t/U \ll 1$) at finite temperatures undergoes a crossover to a spin incoherent regime when the temperature is very small relative to the Fermi energy, but larger than the…

强关联电子 · 物理学 2014-11-05 Mohammad Soltanieh-ha , Adrian E. Feiguin

We use the density matrix renormalization group method (DMRG) to compute the frequency and momentum resolved spin-spin correlation functions of a dimerized spin-1/2 chain under a magnetic field at finite temperature. The spectral features…

强关联电子 · 物理学 2018-10-09 Emanuele Coira , Peter Barmettler , Thierry Giamarchi , Corinna Kollath

This report concerns the energy of a zero-temperature many-body system of spin 1/2 fermions in the unitary limit. In a previous report (arXiv:0705.0944) this energy was determined to be xi~0.24 in units of the free gas kinetic energy,…

核理论 · 物理学 2008-02-08 H. S. Kohler

We investigate spin-incoherent Luttinger liquid of a one-dimensional spin-1 Bose gas in a harmonic trap. In this regime highly degenerate spin configurations emerge since the spin exchange energy is much less than the thermal energy of the…

量子气体 · 物理学 2016-09-07 H. H. Jen , S. -K. Yip

We give a brief overview of the kinetic theory for spin-1/2 fermions in Wigner function formulism. The chiral and spin kinetic equations can be derived from equations for Wigner functions. A general Wigner function has 16 components which…

高能物理 - 唯象学 · 物理学 2021-02-03 Jian-Hua Gao , Zuo-Tang Liang , Qun Wang

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…

强关联电子 · 物理学 2015-05-14 Andrey V. Chubukov , Dmitrii L. Maslov

One considers the quantum dynamics of a charged spin-1/2 particle in an extended external eletromagnetic field that arises from the reduction of a 5-dimensional Abelian gauge theory. The non-relativistic regime of the reduced 4D-dynamics is…

高能物理 - 理论 · 物理学 2007-05-23 G. S. Dias , J. A. Helayel-Neto

We examine charge fractionalization by chiral separation in a one-dimensional fermion system described by Luttinger liquid theory. The focus is on the question of whether the fractional charges are quantum mechanically sharp, and in the…

强关联电子 · 物理学 2013-05-29 Jon Magne Leinaas , Mats Horsdal , T. H. Hansson

Transport of fermions is central in many fields of physics. Electron transport runs modern technology, defining states of matter such as superconductors and insulators, and electron spin, rather than charge, is being explored as a new…

量子气体 · 物理学 2015-03-17 Ariel Sommer , Mark Ku , Giacomo Roati , Martin W. Zwierlein

Using series expansion based on the flow equation method we study the zero temperature properties of the spin-1/2 planar pyrochlore antiferromagnet in the limit of strong diagonal coupling. Starting from the limit of decoupled crossed…

强关联电子 · 物理学 2013-05-29 Marcelo Arlego , Wolfram Brenig

This work extracts, by means of an exact analysis, the singular behaviour of the dynamical response functions -- the Fourier transforms of dynamical two-point functions -- in the vicinity of the various excitation thresholds in the massless…

数学物理 · 物理学 2024-06-19 K. K. Kozlowski

We present lattice results for spin-1/2 fermions at unitarity, where the effective range of the interaction is zero and the scattering length is infinite. We measure the spatial coherence of difermion pairs for a system of 6, 10, 14, 18,…

统计力学 · 物理学 2008-11-26 Dean Lee

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…

强关联电子 · 物理学 2007-05-23 Diptiman Sen