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The infinite Heisenberg XXZ spin-(1/2) chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations.…

强关联电子 · 物理学 2022-10-17 S. B. Rutkevich

The anisotropic XXZ spin-1/2 Heisenberg chain is studied using renormalization-group theory. The specific heats and nearest-neighbor spin-spin correlations are calculated thoughout the entire temperature and anisotropy ranges in both…

统计力学 · 物理学 2009-11-13 Ozan S. Sariyer , A. Nihat Berker , Michael Hinczewski

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in…

强关联电子 · 物理学 2016-05-31 Rogier Vlijm , Jean-Sébastien Caux

Here we report a study of the spin dynamics in the ferromagnetic chain compound $Li_{2}CuO_{2}$. Inelastic neutron scattering measurements allow for the spin Hamiltonian to be determined using a $J_{1}-J_{2}$ $XXZ$-Heisenberg spin chain…

强关联电子 · 物理学 2023-08-10 Eli Zoghlin , Matthew B. Stone , Stephen D. Wilson

The Heisenberg XXZ spin-1/2 chain is considered in the massive antiferromagnetic regime in the presence of a staggered longitudinal magnetic field. The Hamiltonian of the model is characterised by the anisotropy parameter $\Delta<-1$, and…

统计力学 · 物理学 2018-04-18 S. B. Rutkevich

We investigate the effect of a magnetic field supported at a single lattice site on the low-energy spectrum of the ferromagnetic Heisenberg XXZ chain. Such fields, caused by impurities, can modify the low-energy spectrum significantly by…

数学物理 · 物理学 2009-11-07 Pierluigi Contucci , Bruno Nachtergaele , Wolfgang L. Spitzer

We consider the non-equilibrium evolution in the spin-1/2 XXZ Heisenberg chain for fixed magnetization after a local quantum quench. This model is equivalent to interacting spinless fermions. Initially an infinite magnetic field is applied…

强关联电子 · 物理学 2012-02-20 Martin Ganahl , Elias Rabel , Fabian H. L. Essler , Hans Gerd Evertz

The long-range entanglement dynamics of an one-dimensional spin-1/2 anisotropic XXZ model are studied using the method of the adaptive time-dependent density-matrix renormalization-group. The long-range entanglement can be generated when a…

量子物理 · 物理学 2010-06-02 Jie Ren , Shiqun Zhu

Integrable systems possess stable families of quasiparticles, which are composite objects (bound states) of elementary excitations. Motivated by recent quantum computer experiments, we investigate bound-state transport in the spin-$1/2$…

统计力学 · 物理学 2024-10-07 Leonardo Biagetti , Vincenzo Alba

Using large-scale determinant quantum Monte Carlo simulations in combination with the stochastic analytical continuation, we study two-particle dynamical correlation functions in the anisotropic square lattice of weakly coupled…

强关联电子 · 物理学 2013-08-22 Marcin Raczkowski , Fakher F. Assaad

We study the non-equilibrium transport properties of a highly anisotropic two-dimensional lattice of spin-1/2 particles governed by a Heisenberg XXZ Hamiltonian. The anisotropy of the lattice allows us to approximate the system at finite…

强关联电子 · 物理学 2016-11-22 J. J. Mendoza-Arenas , M. T. Mitchison , S. R. Clark , J. Prior , D. Jaksch , M. B. Plenio

We present exact diagonalization and density matrix renormalization group results for the entanglement entropy of critical spin-1/2 XXZ chains. We find that open boundary conditions induce an alternating term in both the energy density and…

强关联电子 · 物理学 2007-05-23 Nicolas Laflorencie , Erik S. Sorensen , Ming-Shyang Chang , Ian Affleck

We study variable-rate linear quenches in the anisotropic Heisenberg (XXZ) chain, starting at the XX point. This is equivalent to switching on a nearest neighbour interaction for hard-core bosons or an interaction quench for free fermions.…

强关联电子 · 物理学 2013-02-08 Frank Pollmann , Masudul Haque , Balázs Dóra

The $S=1/2$ antiferromagnetic Heisenberg chain is a paradigmatic quantum system hosting exotic excitations such as spinons and solitons, and forming random singlet state in the presence of quenched disorder. Realizing and distinguishing…

We study spin transport in a boundary driven XXZ spin chain. Driving at the chain boundaries is modeled by two additional spin chains prepared in oppositely polarized states. Emergent behavior, both in the transient dynamics and in the…

量子物理 · 物理学 2017-12-21 Eduardo Mascarenhas , Giacomo Giudice , Vincenzo Savona

We investigate spin-$\frac{1}{2}$ anisotropic model of a linear chain of triangles with competing ferro- and antiferromagnetic interactions and ferromagneic Heisenberg interactions between triangles. For a certain ratio between interactions…

强关联电子 · 物理学 2023-08-11 V. Ya. Krivnov , D. V. Dmitriev

We study the excitation spectrum of the one-dimensional spin-1/2 XXZ chain with antiferromagnetic Ising anisotropy across a magnetic quantum phase transition induced by the application of a site-dependent transverse magnetic field.…

强关联电子 · 物理学 2024-07-30 Catalin-Mihai Halati , Zhe Wang , Thomas Lorenz , Corinna Kollath , Jean-Sébastien Bernier

We investigate the role of momentum for the transport of magnetization in the spin-1/2 Heisenberg chain above the isotropic point at finite temperature and momentum. Using numerical and analytical approaches, we analyze the autocorrelations…

强关联电子 · 物理学 2011-12-20 Robin Steinigeweg , Wolfram Brenig

We investigate real-space localization in the few-particle regime of the XXZ spin-$1/2$ chain with a random magnetic field. Our investigation focuses on the time evolution of the spatial variance of non-equilibrium densities, as resulting…

强关联电子 · 物理学 2017-04-13 Daniel Schmidtke , Robin Steinigeweg , Jacek Herbrych , Jochen Gemmer

Signal propagation in the non equilibirum evolution after quantum quenches has recently attracted much experimental and theoretical interest. A key question arising in this context is what principles, and which of the properties of the…

强关联电子 · 物理学 2014-11-12 Lars Bonnes , Fabian H. L. Essler , Andreas M. Läuchli
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