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We establish a connection between ground states of local quantum Hamiltonians and thermal states of classical spin systems. For any discrete classical statistical mechanical model in any spatial dimension, we find an associated quantum…

Quantum Physics · Physics 2012-03-05 W. Dür , M. Van den Nest

We propose a conservative two-dimensional particle model in which particles carry a continuous and classical spin. The model includes standard ferromagnetic interactions between spins of two different particles, and a nonstandard coupling…

Recent Lorentz transmission electron microscopy experiments have revealed a variety of noncollinear spin textures including topological magnetisms such as skyrmions, biskyrmions and multiple skyrmions in thin-plate magnetic samples of e.g.,…

Strongly Correlated Electrons · Physics 2023-07-26 Tatsuki Muto , Masahito Mochizuki

We show that resonant dipole-dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole-dipole coupling between $np$ and $ns$ Rydberg…

Atomic Physics · Physics 2017-01-17 Martin Kiffner , Edward O'Brien , Dieter Jaksch

The results of extensive Monte Carlo simulations of classical spins on the two-dimensional kagome lattice with only dipolar interactions are presented. In addition to revealing the six-fold degenerate ground state, the nature of the…

Materials Science · Physics 2015-05-01 M. S. Holden , M. L. Plumer , I. Saika-Voivod , B. W. Southern

We theoretically investigate the properties of two interacting ultracold highly magnetic atoms trapped in a one-dimensional harmonic potential. The atoms interact via an anisotropic long-range dipole-dipole interaction, which in one…

Atomic Physics · Physics 2022-11-09 Michał Suchorowski , Anna Dawid , Michał Tomza

The ground state solutions of a dilute Bose condensate with contact and magnetic dipole-dipole interactions are examined. By lowering the value of the scattering length, Goral et al. [cond-mat/9907308 and Phys. Rev. A {\bf 61}, 051601…

Statistical Mechanics · Physics 2009-11-07 J. -P. Martikainen , Matt Mackie , K. -A. Suominen

We study the structure and melting of a classical bilayer system of dipoles, in a setup where the dipoles are oriented perpendicular to the planes of the layers and the density of dipoles is the same in each layer. Due to the anisotropic…

Other Condensed Matter · Physics 2008-07-30 Xin Lu , Chang-Qin Wu , Andrea Micheli , Guido Pupillo

We study the topological phases in spin-orbit coupled dipolar bosons in a one-dimensional optical lattice. The magnetic dipolar interactions between atoms give rise to the inter-site interactions. In the Mott-insulating regime, this system…

Quantum Gases · Physics 2014-12-02 H. T. Ng

We discuss the spin excitations in systems with hopping electron conduction and strong position disorder. We focus on the problem in a strong magnetic field when the spin Hamiltonian can be reduced to the effective single-particle…

Disordered Systems and Neural Networks · Physics 2016-08-24 A. V. Shumilin

By molecular dynamics simulation, we have investigated classical Heisenberg spins, which are arrayed on a finite simple cubic lattice and interact with each other only by the dipole-dipole interaction, and have found its peculiar it…

Statistical Mechanics · Physics 2007-05-23 Katsuyoshi Matsushita , Ryoko Sugano , Akiyoshi Kuroda , Yusuke Tomita , Hajime Takayama

We demonstrate the use of an external field to stabilize and control defect lines connecting topological monopoles in spin ice. For definiteness we perform Brownian dynamics simulations with realistic units mimicking experimentally realized…

Statistical Mechanics · Physics 2021-11-18 A. Libal , C. Nisoli , C. Reichhardt , C. J. Olson Reichhardt

The spin ice compounds {\dys} and {\holm} are highly unusual magnets which epitomize a set of concepts of great interest in modern condensed matter physics: their low-energy physics exhibits an emergent gauge field and their excitations are…

Strongly Correlated Electrons · Physics 2012-03-01 C. Castelnovo , R. Moessner , S. L. Sondhi

The intrinsic noncollinear spin patterns in rare-earth pyrochlore are physically interesting, hosting many emergent properties, e.g. spin ice and monopole-type excitation. Recently, the magnetic monopole excitation of spin ice systems was…

Materials Science · Physics 2015-12-18 Lin Lin , Y. L. Xie , J. -J. Wen , Shuai Dong , Z. B. Yan , J. -M. Liu

A cluster Monte Carlo method for systems of classical spins with purely dipolar couplings is presented. It is tested and applied for finite arrays of perpendicular Ising dipoles on the triangular lattice. This model is a modification with…

Statistical Mechanics · Physics 2009-11-07 Ulrich K. Roessler

We study a classical fully-frustrated honeycomb lattice Ising model using Markov chain Monte Carlo methods and exact calculations . The Hamiltonian realizes a degenerate ground state manifold of equal-energy states, where each hexagonal…

Statistical Mechanics · Physics 2009-06-02 Shawn Andrews , Hans De Sterck , Stephen Inglis , Roger G. Melko

We use the method of invariants to derive one- and two-band effective Hamiltonians of a noncentrosymmetric two-dimensional electron gas, in the presence of magnetic field. A complete classification of the antisymmetric spin-orbit and…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 K. V. Samokhin

We derive exact static as well as moving solitonic solutions to the one-dimensional spin-orbit-coupled F=1 Bose-Einstein condensates. The static polar soliton is shown to be the ground state by the imaginary-time evolution method. It shows…

Quantum Gases · Physics 2014-11-14 Yong-Kai Liu , Shi-Jie Yang

Classical spin models with discrete or continuous degrees of freedom arise in many studies of complex physical systems. A wide class of hard real-life optimisation problems can be formulated as a minimisation of a spin Hamiltonian. Here we…

Disordered Systems and Neural Networks · Physics 2018-12-12 Kirill P. Kalinin , Natalia G. Berloff

We have performed numerical analysis of the two-dimensional (2D) soliton solutions in Bose-Einstein condensates with nonlocal dipole-dipole interactions. For the modified 2D Gross-Pitaevski equation with nonlocal and attractive local terms,…

Pattern Formation and Solitons · Physics 2015-06-26 V. M. Lashkin