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We consider magnetic friction between two square lattices of the ferromagnetic Ising model of finite thickness. We analyze the dependence on the boundary conditions and the sample thickness. Monte Carlo results indicate that the setup…

Statistical Mechanics · Physics 2019-05-15 Kentaro Sugimoto

We investigate numerically the influence of Dirichlet boundary conditions on the nearest neighbor level spacing distribution $P(s)$ of a two-dimensional disordered tight-binding model in the presence of a strong perpendicular magnetic…

Disordered Systems and Neural Networks · Physics 2017-09-27 H. Potempa , L. Schweitzer

In a standard bifurcation of a dynamical system, the stationary points (or more generally attractors) change qualitatively when varying a control parameter. Here we describe a novel unusual effect, when the change of a parameter, e.g. a…

Populations and Evolution · Quantitative Biology 2017-04-26 V. I. Yukalov , E. P. Yukalova , D. Sornette

We calculate one-particle spectra for a variety of models of Luttinger liquids with open boundary conditions. For the repulsive Hubbard model the spectral weight close to the boundary is enhanced in a large energy range around the chemical…

Strongly Correlated Electrons · Physics 2009-10-31 K. Schoenhammer , V. Meden , W. Metzner , U. Schollwoeck , O. Gunnarsson

The Bethe ansatz equations of the 1-D Hubbard model under open boundary conditions are systematically derived by diagonalizing the inhomogeneous transfer matrix of the XXX model with open boundaries. Through the finite-size correction, we…

Strongly Correlated Electrons · Physics 2008-02-03 Tetsuo Deguchi , Ruihong Yue

We study the influence of boundary conditions on stationary, periodic patterns in one-dimensional systems. We show how a conceptual understanding of the structure of equilibria in large domains can be based on the characterization of…

Analysis of PDEs · Mathematics 2015-03-26 David Morrissey , Arnd Scheel

We discuss the importance of boundary effects on fermionic matter in a rotating frame. By explicit calculations at zero temperature we show that the scalar condensate of fermion and anti-fermion cannot be modified by the rotation once the…

High Energy Physics - Phenomenology · Physics 2016-11-23 Shu Ebihara , Kenji Fukushima , Kazuya Mameda

To understand nontrivial edge electronic states in strongly-correlated metals such as cuprate superconductors, we study the two-dimensional Hubbard models with open edge boundary. The position-dependences of the spin susceptibility and the…

Strongly Correlated Electrons · Physics 2018-08-01 Shun Matsubara , Youichi Yamakawa , Hiroshi Kontani

We reveal a topological burning glass effect, where the local response of a system exhibits a topological quantization that is enhanced by an integer due to its environmental coupling. As a paradigmatic platform for this intriguing…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Simon Körber , Lorenzo Privitera , Jan Carl Budich , Björn Trauzettel

We propose a scheme for using spin chain to realize an ideal channel of long distance entanglement. The results show that there has different entanglement in different Hilbert subspace, the anisotropic parameter $\Delta$ will frustrate the…

Quantum Physics · Physics 2009-11-13 Xiao-Qiang Xi , T. Zhang , R. H. Yue , X. C. Xie , W. M. Liu

Magnetic excitations and spin correlations near the interface of two spin-$\frac12$ Heisenberg antiferromagnets are considered using the spin-wave approximation. When the interaction between boundary spins differs essentially from exchange…

Strongly Correlated Electrons · Physics 2019-05-21 N. Voropajeva , A. Sherman

Density profiles are investigated arising in a critical Ising model in two dimensions which is confined to a rectangular domain with uniform or mixed boundary conditions and arbitrary aspect ratio. For the cases in which the two vertical…

Statistical Mechanics · Physics 2023-07-18 E. Eisenriegler

We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk…

Statistical Mechanics · Physics 2025-05-12 Francesco Parisen Toldin

The dynamics of spin at finite temperature in the spin-1/2 Heisenberg chain was found to be superdiffusive in numerous recent numerical and experimental studies. Theoretical approaches to this problem have emphasized the role of nonabelian…

Statistical Mechanics · Physics 2022-06-20 Pieter W. Claeys , Austen Lamacraft , Jonah Herzog-Arbeitman

Allosterism traditionally refers to local changes in an extended object, for instance the binding of a ligand to a macromolecule, leading to a localized response at some other, possibly quite remote position. Here, we show that such…

Statistical Mechanics · Physics 2023-08-11 Christian Eidecker-Dunkel , Peter Reimann

The dynamics of quantum field theories on bounded domains requires the introduction of boundary conditions on the quantum fields. We address the problem from a very general perspective by using charge conservation as a fundamental principle…

High Energy Physics - Theory · Physics 2015-01-16 M. Asorey , D. Garcia-Alvarez , J. M. Munoz-Castaneda

We discuss three questions related to the critical behavior of hierarchical spin models: 1) the hyperscaling relations in the broken symmetry phase; 2) the combined use of dual expansions to calculate the non-universal quantities; 3) the…

High Energy Physics - Lattice · Physics 2015-06-25 J. J. Godina , Y. Meurice , S. Niermann , M. B. Oktay

We show that condensate-induced transitions between two-dimensional topological phases provide a general framework to relate one-dimensional spin models at their critical points. We demonstrate this using two examples. First, we show that…

Strongly Correlated Electrons · Physics 2013-07-18 Teresia Mansson , Ville Lahtinen , Juha Suorsa , Eddy Ardonne

It has recently been established that quantum statistics can play a crucial role in quantum escape. Here we demonstrate that boundary conditions can be equally important - moreover, in certain cases, may lead to a complete suppression of…

We demonstrate using direct numerical diagonalization and extrapolation methods that boundary conditions have a profound effect on the bulk properties of a simple $Z(N)$ model for $N \ge 3$ for which the model hamiltonian is non-hermitian.…

Statistical Mechanics · Physics 2018-06-13 Francisco C. Alcaraz , Murray T. Batchelor
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