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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 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
• The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the Griffiths inequality.
• Using the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon proved that the two point spin correlation of the ferromagnetics XY model in dimension D, coupling J > 0 and inverse temperature β is dominated by (i.e. has an upper boundWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 9 mins
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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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
WEBAug 6, 2020 · The 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 …
WEBEntanglement Spectrum for the XY Model in One Dimension. F. Franchini, A. R. Its, V. E. Korepin, and L. A. Takhtajan. Abstract. We consider the reduced density matrix of a …
The XY Model | SpringerLink
WEBJan 1, 2010 · The XY Model is another linear chain of spin-1/2 atoms but with a different type of exchange interaction in which only the x -components and y -components of the …
WEBIsing model and XY model 1 Ising Model The Ising model is one of the simplest and most fundamental models of statistical mechanics. ... The Ising model can be solved exactly …
Scaling transformations and the XY-model (Chapter 4) - Statistical ...
WEBAug 5, 2012 · We 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 …
WEBXY model: particle-vortex duality. Subir Sachdev. Department of Physics, Harvard University, Cambridge, Massachusetts, 02138, USA. (Dated: February 7, 2018) Abstract. …
WEBThe XY model is a well-known spin model which has been widely studied in the research field of statistical physics and condensed-matter physics. Unlike the Ising model, the XY …
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 …
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 …
1 - Free energy and correlation functions of the XY model
WEBOct 23, 2009 · Free energy and correlation functions of the XY model; Minoru Takahashi, University of Tokyo; Book: Thermodynamics of One-Dimensional Solvable Models; …
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 …
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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 …
WEBThe Ising spin-glass model in the Levy graph was introduced in Ref. 37 as a dilute variant of the fully connected Ising spin glass with long-range interactions in one …
How does the $U(1)$ global symmetry break in the gauged $XY
WEBSep 19, 2019 · The "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. …
WEBIn this study, the logically next model, namely the n = 2 components spin-XY model under random fields is examined and surprising results are obtained, this time in near …
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 …
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WEBMaui 2019 DTM elevation. Digital Terrain Model (bare earth) of parts of Maui and Molokai. Partial coverage Vexcel, Inc. LIDAR of Maui and Molokai were purchased by County of …
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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-dimensional …
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