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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/1112.2050.pdf - People also ask
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 model, the one-dimensional XY model has no phase transitions at finite temperature.
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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 …
WebThe interaction between the topological charges depends in all cases logarithmically on the spatial separation and this leads to some very general collective behaviour, most …
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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 …
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. …
[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 …
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 …
Webwhich is now an essential concept in physics [1]. The canon-ical model exhibiting the BKT transition is the classical XY model in two dimensions, which is defined by the total …
WebThe key fea-ture is the quantum uctuations popularly existing in quantum systems due to non-commutating relations of quantum mechanical operators. Thus both the one …
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 …
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 …
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 vortices) XY …
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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 …
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 …
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 …
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 …
Critical properties of the XY model - ScienceDirect
WebThe latest estimates of the critical properties of the three dimensional spin one half XY model are presented. The evidence for and nature of a phase transition in the two …
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 …
How does the $U(1)$ global symmetry break in the gauged $XY
WebThe "gauged XY X Y " model is also called the Abelian-Higgs model. The first is the usual U(1) U ( 1) gauge symmetry associated with ϕ → eiφϕ ϕ → e i φ ϕ. Making this a local …
WebThe XY model is the n = 2 case of the O(n) vector model and is a prototype of lattice models with continuous symmetries. It has a broad realm of physical realizations …
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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 …
[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 …
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