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Related papers: The one-dimensional XXZ model with long-range inte…

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The nonlinear effect of a driving force in periodically driven quantum many-body systems can be systematically investigated by analyzing the effective Floquet Hamiltonian. In particular, under an appropriate definition of the effective…

Quantum Physics · Physics 2021-04-01 Kentaro Sugimoto , Seiji Yunoki

We consider the longitudinal dynamical two-point function of the XXZ quantum spin chain in the antiferromagnetic massive regime. It has a series representation based on the form factors of the quantum transfer matrix of the model. The $n$th…

Statistical Mechanics · Physics 2021-11-30 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

A solid is typically deemed amorphous when there are no Bragg peaks in its diffraction pattern. We discuss a two dimensional configuration of Ising spins with an autocorrelation function which vanishes at all nonzero distances, so that its…

Disordered Systems and Neural Networks · Physics 2015-06-15 Gil Wolff , Dov Levine

Recently we have shown that a one-parameter scaling, the Coherence Temperature, describes the physical behavior of several heavy fermions in a region of their phase diagram. In this paper we fully characterize this region, obtaining the…

Strongly Correlated Electrons · Physics 2009-10-31 Mucio A. Continentino

We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The atoms are placed in 1D and 2D arrays of optical tweezers, allowing…

Monte Carlo simulations are used to show that the steady state of the d=2, two-temperature, diffusive XY model displays a continuous phase transition from a homogeneous disordered phase to a phase with long-range order. The long-range order…

Condensed Matter · Physics 2009-10-28 Kevin E. Bassler , Zoltan Racz

We study the ground state properties of one-dimensional XXZ model with next-nearest neighbor coupling alpha and anisotropy Delta. We find the direct transition between the ferromagnetic phase and the spontaneously dimerized phase. This is…

Statistical Mechanics · Physics 2009-10-31 Shunsaku Hirata , Kiyohide Nomura

The role of spin-orbit interaction, arises from the Dzyaloshinski-Moriya anisotropic antisymmetric interaction, on the entanglement transfer via an antiferromagnetic XXZ Heisenberg chain is investigated. From symmetrical point of view, the…

Quantum Physics · Physics 2015-05-20 Morteza Rafiee , Morteza Soltani , Hamidreza Mohammadi , Hossein Mokhtari

We study quantum correlations in a bipartite heteronuclear $(N-1)\times1$ system in an external magnetic field. The system consists of a spin ring with an arbitrary number $N-1$ of spins on the ring and one spin in its center. The spins on…

Quantum Physics · Physics 2015-08-26 S. I. Doronin , E. B. Fel'dman , E. I. Kuznetsova

We numerically study the one-dimensional long-range Transverse Field Ising Model (TFIM) in the antiferromagnetic (AFM) regime at zero temperature using Generalized Hartree-Fock (GHF) theory. The spin-spin interaction extends to all spins in…

Quantum Physics · Physics 2023-05-10 Michael P. Kaicher , Davide Vodola , Simon B. Jäger

The phase diagram of the $XXZ$ chain under the influence of homogeneous and staggered magnetic fields is calculated. The model has a rich phase structure with three types of phases. A fully ferromagnetic phase, an antiferromagnetic phase…

Condensed Matter · Physics 2007-05-23 F. C. Alcaraz , A. L. Malvezzi

We study a system composed of fermions (electrons), hopping on a square lattice, and of immobile particles (ions), that is described by the spinless Falicov-Kimball Hamiltonian augmented by a next-nearest-neighbor attractive interaction…

Strongly Correlated Electrons · Physics 2009-11-10 Volodymyr Derzhko , Janusz Jedrzejewski

One dimensional spin-1/2 $XXZ$ model in a transverse magnetic field is studied. It is shown that the field induces the gap in the spectrum of the model with easy-plain anisotropy. Using conformal invariance the field dependence of the gap…

Strongly Correlated Electrons · Physics 2009-11-07 D. V. Dmitriev , V. Ya. Krivnov , A. A. Ovchinnikov , A. Langari

The spherical spin model with infinite-range ferromagnetic interactions is investigated analytically in the framework of non-extensive thermostatics generalizing the Boltzmann-Gibbs statistical mechanics. We show that for repulsive…

Statistical Mechanics · Physics 2008-12-18 Robert Botet , Marek Ploszajczak , Jorge A. Gonzalez

As part of a study that investigates the dynamics of the s=1/2 XXZ model in the planar regime |Delta|<1, we discuss the singular nature of the Bethe ansatz equations for the case Delta=0 (XX model). We identify the general structure of the…

Strongly Correlated Electrons · Physics 2009-11-10 Daniel Biegel , Michael Karbach , Gerhard Muller , Klaus Wiele

Under the second-order degenerate perturbation theory, we show that the physics of $N$ particles with arbitrary spin confined in a one dimensional trap in the strongly interacting regime can be described by super-exchange interaction. An…

Quantum Gases · Physics 2015-04-30 Li Yang , Liming Guan , Han Pu

We have studied the phase diagram of the one dimensional XXZ model with Dzyaloshinskii-Moriya (DM) interaction. We have applied the quantum renormalization group (QRG) approach to get the stable fixed points, critical point and the scaling…

Strongly Correlated Electrons · Physics 2008-12-11 R. Jafari , A. Langari

We discuss the dynamics and thermodynamics of systems with long-range interactions. We contrast the microcanonical description of an isolated Hamiltonian system to the canonical description of a stochastically forced Brownian system. We…

Statistical Mechanics · Physics 2009-11-10 Pierre-Henri Chavanis

For the one-dimensional Ising chain with spin-$1/2$ and exchange couple $J$ in a steady transverse field(TF), an analytical theory has well been developed in terms of some topological order parameters such as Berry phase(BP). For a TF Ising…

Statistical Mechanics · Physics 2019-10-17 Yi Liao , Ping-Xing Chen

The escape rate \Gamma of the large-spin model described by the Hamiltonian H = -DS_z^2 - H_zS_z - H_xS_x is investigated with the help of the mapping onto a particle moving in a double-well potential U(x). The transition-state method…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin , X. Martinez Hidalgo , E. M. Chudnovsky
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