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Spin chains with exact supersymmetry on finite one-dimensional lattices are considered. The supercharges are nilpotent operators on the lattice of dynamical nature: they change the number of sites. A local criterion for the nilpotency on…

统计力学 · 物理学 2013-02-25 Christian Hagendorf

We construct a lattice theory describing a system of interacting nonrelativistic spin s=1/2 fermions at nonzero chemical potential. The theory is applicable whenever the interparticle separation is large compared to the range of the…

高能物理 - 格点 · 物理学 2009-11-10 Jiunn-Wei Chen , David B. Kaplan

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

统计力学 · 物理学 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

The size distribution of geometrical spin clusters is exactly found for the one dimensional Ising model of finite extent. For the values of lattice constant $\beta$ above some "critical value" $\beta_c$ the found size distribution…

统计力学 · 物理学 2015-12-10 A. I. Ivanytskyi , V. O. Chelnokov

A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($T_{o}$). Detailed balance is violated so that the spin…

统计力学 · 物理学 2009-11-07 B. Schmittmann , F. Schmueser

We study the thermodynamic behaviour of Inozemtsev's long-range elliptic spin chain using the Bethe ansatz equations describing the spectrum of the model in the infinite-length limit. We classify all solutions of these equations in that…

数学物理 · 物理学 2016-04-12 Rob Klabbers

We rigorously examine 2d-infinite square lattices composed of classical spins isotropically coupled between first-nearest neighbors. Each local exchange Hamiltonian is expanded on the basis of its eigenfunctions played by spherical…

统计力学 · 物理学 2019-07-30 Jacques Curély

We consider N initially disentangled spins, embedded in a ring or d-dimensional lattice of arbitrary geometry, which interact via some long--range Ising--type interaction. We investigate relations between entanglement properties of the…

量子物理 · 物理学 2016-08-16 W. Dür , L. Hartmann , M. Hein , M. Lewenstein , H. J. Briegel

Extending previous rigorous results, we prove existence of an ordering transition at finite temperature for a class of nematogenic lattice models, where spins are associated with a one- or two-dimensional lattice, and interact via…

凝聚态物理 · 物理学 2019-08-17 N. Angelescu , S. Romano , V. A. Zagrebnov

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

统计力学 · 物理学 2008-11-26 Kazumitsu Sakai

Many-body spin systems represent a paradigmatic platform for the realization of emergent states of matter in a strongly interacting regime. Spin models are commonly studied in one-dimensional periodic chains, whose lattice constant is on…

介观与纳米尺度物理 · 物理学 2019-10-08 J. L. Lado , Oded Zilberberg

We present the spin-wave theory of the excitation spectrum and quench dynamics of the non-Hermitian transverse-field Ising model. The complex excitation spectrum is obtained for a generic hypercubic lattice using the linear approximation of…

量子物理 · 物理学 2024-11-26 Julien Despres , Leonardo Mazza , Marco Schirò

We investigate the properties of the thermodynamic limit in a general bipartite spin network with pairwise interactions. This is done by integrating one of the the spin groups, to transform the bipartite problem into a single group problem…

统计力学 · 物理学 2025-03-18 Simone Franchini

There are problems with defining the thermodynamic limit of systems with long-range interactions; as a result, the thermodynamic behavior of these types of systems is anomalous. In the present work, we review some concepts from both…

统计力学 · 物理学 2009-11-13 L. A. del Pino , P. Troncoso , S. Curilef

A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice with a nearest- neighbor interaction, next-nearest-neighbor bilinear interaction, three-site four-spin in- teraction and single-ion anisotropy is exactly investigated…

统计力学 · 物理学 2017-08-23 Viliam Štubňa , Michal Jaščur

A relation between a class of stationary points of the energy landscape of continuous spin models on a lattice and the configurations of a Ising model defined on the same lattice suggests an approximate expression for the microcanonical…

统计力学 · 物理学 2011-03-22 Lapo Casetti , Cesare Nardini , Rachele Nerattini

In this paper, we investigate a family of one-dimensional multi-component quantum many-body systems. The interaction is an exchange interaction based on the familiar family of integrable systems which includes the inverse square potential.…

凝聚态物理 · 物理学 2009-10-22 Bill Sutherland , B. Sriram Shastry

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

统计力学 · 物理学 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

In this work, a multichannel Kondo lattice model is studied in the thermodynamic limit. The conduction band is described by a constant hopping amplitude between any pair of lattice sites. For this system, we have obtained the exact…

凝聚态物理 · 物理学 2008-02-03 C. -A. Piguet , D. F. Wang , C. Gruber

We consider a two-dimensional spin system in a honeycomb lattice configuration that exhibits anyonic and fermionic excitations [Kitaev, cond-mat/0506438]. The exact spectrum that corresponds to the translationally invariant case of a…

量子物理 · 物理学 2008-11-26 Jiannis K. Pachos
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