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We study a new class of matrix models, formulated on a lattice. On each site are $N$ states with random energies governed by a Gaussian random matrix Hamiltonian. The states on different sites are coupled randomly. We calculate the density…

凝聚态物理 · 物理学 2009-10-22 E. Brézin , A. Zee

In the present paper we present some new data supporting the existence of a spin-disordered phase in the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3, predicted in…

强关联电子 · 物理学 2011-06-01 D. C. Cabra , C. A. Lamas , H. D. Rosales

This investigation covers the effects of variable exchange interactions on the spin dynamics of the zig-zag honeycomb lattice. Using a Holstein-Primakoff expansion of the Heisenberg Hamiltonian with easy-axis anisotropy, we characterize the…

强关联电子 · 物理学 2025-07-29 E. M. Wilson , J. T. Haraldsen

Ground-state and finite-temperature properties of a special class of exactly solvable Ising-Heisenberg planar models are examined using the generalized decoration-iteration and star-triangle mapping transformations. The investigated spin…

无序系统与神经网络 · 物理学 2007-05-23 Jozef Strecka , Michal Jascur

We compute ground-state properties of the isotropic, antiferromagnetic Heisenberg model on the sodalite cage geometry. This is a 60-spin spherical molecule with 24 vertex-sharing tetrahedra which can be regarded as a molecular analogue of a…

强关联电子 · 物理学 2022-05-09 Roman Rausch , Matthias Peschke , Cassian Plorin , Christoph Karrasch

The aim of this paper is two-fold. Firstly we provide necessary and sufficient criteria for the existence of a strict deformation quantization of algebraic tensor products of Poisson algebras, and secondly, we discuss the existence of…

数学物理 · 物理学 2022-02-24 Simone Murro , Christiaan J. F. van de Ven

We show how the decoherence that occurs in an entangling atomic spin-light interface can be simply modeled as the dynamics of a bosonic mode. Although one seeks to control the collective spin of the atomic system in the permutationally…

量子物理 · 物理学 2024-12-05 Andrew Kolmer Forbes , Philip Daniel Blocher , Ivan H. Deutsch

We examine dynamic structure factors of spin-1/2 chains with nearest-neighbor interactions of XX and Dzyaloshinskii-Moriya type, and with periodic and random changes in the sign of these interactions. This special kind of inhomogeneity can…

强关联电子 · 物理学 2008-02-05 Taras Verkholyak , Oleg Derzhko , Taras Krokhmalskii , Joachim Stolze

Quantum spin liquids are long-range entangled phases whose magnetic correlations are determined by strong quantum fluctuations. While an overarching principle specifying the precise microscopic coupling scenarios for which quantum…

强关联电子 · 物理学 2020-01-08 Nils Niggemann , Max Hering , Johannes Reuther

We consider the XXZ spin-1/2 Heisenberg chain with antiperiodic boundary conditions. The inhomogeneous version of this model can be solved by Separation of Variables (SoV), and the eigenstates can be constructed in terms of Q-functions,…

数学物理 · 物理学 2021-05-07 H. Pei , V. Terras

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

统计力学 · 物理学 2022-03-23 Hamid Arian Zad , Jozef Strecka

Using density-matrix renormalization-group calculations for infinite cylinders, we elucidate the properties of the spin-liquid phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ Heisenberg model on the triangular lattice. We find four distinct…

强关联电子 · 物理学 2018-04-13 S. N. Saadatmand , I. P. McCulloch

Motivated by recent experimental breakthroughs, we propose a strategy to design two-dimensional spin lattices with competing interactions that lead to non-trivial emergent quantum states. We consider $S=1/2$ nanographenes with $C_3$…

介观与纳米尺度物理 · 物理学 2024-02-07 J. C. G. Henriques , Mar Ferri-Cortés , J. Fernández-Rossier

In the pyrochlore lattice Heisenberg antiferromagnet, for large spin length $S$, the massive classical ground state degeneracy is partly lifted by the zero-point energy of quantum fluctuations at harmonic order in spin-waves. However, there…

强关联电子 · 物理学 2013-05-29 Uzi Hizi , Christopher L. Henley

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

介观与纳米尺度物理 · 物理学 2020-01-29 Markus Hoffmann , Stefan Blügel

Generalized Coherent States (GCS) are constructed (and discussed) in order to study quasiclassical behaviour of quantum spin models of the Heisenberg type. Several such models are taken to their semiclassical limits, whose form depends on…

chao-dyn · 物理学 2009-10-28 V. G. Makhankov , M. Agüero Granados , A. V. Makhankov

Skyrmions are topological magnetic textures that can arise in non-centrosymmetric ferromagnetic materials. In most systems experimentally investigated to date, skyrmions emerge as classical objects. However, the discovery of skyrmions with…

强关联电子 · 物理学 2022-12-07 Andreas Haller , Solofo Groenendijk , Alireza Habibi , Andreas Michels , Thomas L. Schmidt

We study the $\mathfrak{gl}_{1|1}$ supersymmetric XXX spin chains. We give an explicit description of the algebra of Hamiltonians acting on any cyclic tensor products of polynomial evaluation $\mathfrak{gl}_{1|1}$ Yangian modules. It…

量子代数 · 数学 2025-04-15 Kang Lu , Evgeny Mukhin

In systems with competing interactions, continuous degeneracies can appear which are accidental, in that they are not related to any symmetry of the Hamiltonian. Accordingly, the pseudo-Goldstone modes associated with these degeneracies are…

强关联电子 · 物理学 2018-12-04 Jeffrey G. Rau , Paul A. McClarty , Roderich Moessner

We show that the anisotropic Heisenberg-Ising chains with higher spin allow, for special values of the anisotropy, integrable deformations intimately related to the theory of quantum groups at roots of unity. For the spin one case we…

高能物理 - 理论 · 物理学 2009-10-22 C. Gomez , G. Sierra