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- The transverse-field XY model in one dimension is a well-known spin model for which the ground state properties and excitation spectrum are known exactly. The model has an interesting phase diagram describing quantum phase transitions (QPTs) belonging to two different universality classes.
arxiv.org/pdf/1112.2050v1.pdf - People also ask
WEBThe XY Model in One Dimension Max A. Metlitski I. INTRODUCTION One of the oldest problems of quantum mechanics is the one dimensional spin-1=2 antiferromagnetic Heisenberg chain with the Hamiltonian H = J P i S~ i S~ i+1. Although the spectrum of …
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Classical XY model - Wikipedia
WEBExact specific heat per spin in the one-dimensional XY model. Even in the thermodynamic limit, there is no divergence in the specific heat. Indeed, like the one-dimensional Ising …
WEBIn this paper, I explicitly demonstrated the mapping between 0d quantum and 1d classical Ising, 1d quantum and 2d classical XY, and 2d quantum and 3d classical Ising models. …
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XY model - arXiv.org
WEBThe fully anisotropic transverse-field XY model in one dimension (1d) describes an interacting spin system for which many exact results on ground and excited state …
[PDF] The XY Model in One Dimension | Semantic Scholar
WEBThe first part of this paper discusses the introduction of Jordan-Wigner transformations and the spectrum of the XY model. The second part of the paper is devoted to more …
Critical analysis of two-dimensional classical XY model
WEBThe XY model, also known as planar rotor model is one of the most widely studied and the simplest two-dimensional spin model 1 with continuous symmetry because of the …
[PDF] ON THE GENERAL ONE-DIMENSIONAL XY MODEL: …
WEBON THE GENERAL ONE-DIMENSIONAL XY MODEL: POSITIVE AND ZERO TEMPERATURE, SELECTION AND NON-SELECTION. A. Baraviera, L. Cioletti, +2 …
WEBXY model: particle-vortex duality. Subir Sachdev. Department of Physics, Harvard University, Cambridge, Massachusetts, 02138, USA. (Dated: February 7, 2018) Abstract. …
One-dimensional XY model in lorentzian random field
WEBThe quantum XY model in one dimension has first been solved by Lieb et al. [1] and Katsura [2] for a perfect (non.random) lattice. They obtained exact expressions for …
WEB2 XY model In the classical xy-model, the variables are two-dimensional unit vectors ~s i on each lattice site, equivalent to an angle θ. This model is a limiting case of the …
WEBVortex-Magnetic Field Duality in the Classical XY Model. Michael Pretko 5/16/2014. Abstract We here demonstrate a useful duality between the compact (i:e: supporting …
Scaling transformations and the XY-model (Chapter 4) - Statistical ...
WEBWe illustrate the concepts with simple approximations in the language of classical spin models in the first section, treating in more detail the XY -model as an example in the …
The XY Model and the Berezinskii-Kosterlitz-Thouless Phase …
WEB[Submitted on 15 Dec 2005] The XY Model and the Berezinskii-Kosterlitz-Thouless Phase Transition. Ralph Kenna. In statistical physics, the XY model in two dimensions …
Figure 1 from The XY Model in One Dimension | Semantic Scholar
WEBFIG. 1: In this figure we show the spectrum of the excitations of the XY model for different values of the anisotropy γ. The red curve corresponds to γ = 0, while the blue curve …
WEBAbstract. A simple picture is developed to show how XY models in D= 2 + 1 dimensions can acquire phases with Z. 2topological order. 1. I. THE CLASSICAL XY MODELS. This …
WEBIn a previous paper [1] (referred to as I), we have investigated the dissipative quantum XY (DQXY) model by quantum Monte-Carlo calculations in two spatial dimensions (2D) for …
Figure 5 from The XY Model in One Dimension | Semantic Scholar
WEB- "The XY Model in One Dimension" FIG. 5: In this figure we display correlations between z components of spins −ρzr as a function of their separation r for several values of …
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XY model - arXiv.org
WEBThe transverse-field XY model in one dimension is a well-known spin model for which the ground state properties and excitation spectrum are known exactly. The model has an …
WEBIn this chapter we discuss a class of classical two dimensional statistical models, known as the uniformly frustrated XY model, which serves as a model for describing behavior …
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XY model - arXiv.org
WEBIn this logarithmic universality, g (r) decays in a power of logarithmic distance as g (r) (ln r)^ , dramatically different from the standard scenario. We explore the three …
WEBWe present a worm-type Monte Carlo study of several typical models in the three-dimensional (3D) U(1) universality class, which include the classical 3D XY model in …
WEBBy normal must be understood modifications introduced to a model for good (the production of the model in its old form being ... (Drawing 286-1). XY plane of the reference frame of …
[cond-mat/0502556] The two dimensional XY model at the …
WEBAbstract: We study the classical XY (plane rotator) model at the Kosterlitz-Thouless phase transition. We simulate the model using the single cluster algorithm on square lattices of …
WEBThe XY model is in the O(2) universality class and in two dimensions the transition is of the Kosterlitz-Thouless type [1]. Theoretical and compu-tational studies of the O(2) …
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