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Renormalization group studies of phase diagrams of Ising and XY-model films of variable thickness

Annals of PhysicsJun 1, 19814 citations

Phase diagram of generalized XY model using the tensor renormalization group

Abhishek Samlodia, Vamika Longia, Raghav G. Jha +1 more

We use the higher-order tensor renormalization group method to study the two-dimensional generalized XY model that admits integer and half-integer vortices. This model is the deformation of the classical XY model and has a rich phase structure consisting of nematic, ferromagnetic, and disordered phases and three transition lines belonging to the Berezinskii-Kosterlitz-Thouless and Ising class. We explore the model for a wide range of temperatures, T , and the deformation parameter, Δ , and compute specific heat along with integer and half-integer magnetic susceptibility, finding both Berezinskii-Kosterlitz-Thouless-like and Ising-like transitions and the region where they meet. Published by the American Physical Society 2024We use the higher-order tensor renormalization group method to study the two-dimensional generalized XY model that admits integer and half-integer vortices. This model is the deformation of the classical XY model and has a rich phase structure consisting of nematic, ferromagnetic, and disordered phases and three transition lines belonging to the Berezinskii-Kosterlitz-Thouless and Ising class. We explore the model for a wide range of temperatures, T , and the deformation parameter, Δ , and compute specific heat along with integer and half-integer magnetic susceptibility, finding both Berezinskii-Kosterlitz-Thouless-like and Ising-like transitions and the region where they meet. Published by the American Physical Society 2024

arXiv:2404.17504Physical review. D/Physical review. D.Aug 6, 202411 citations

Layering transitions in Ising model thin films. A real space renormalization group analysis

A. Benyoussef, Hamid Ez-zahraouy A

Physica A Statistical Mechanics and its ApplicationsMay 1, 199425 citations

Phase diagrams and crossover in spatially anisotropic d=3 Ising, XY magnetic, and percolation systems: Exact renormalization-group solutions of hierarchical models

Aykut Erbaş, Aslı Tuncer, Burcu Yücesoy +1 more

Hierarchical lattices that constitute spatially anisotropic systems are introduced. These lattices provide exact solutions for hierarchical models and, simultaneously, approximate solutions for uniaxially or fully anisotropic d = 3 physical models. The global phase diagrams, with d = 2 and d = 1 to d = 3 crossovers, are obtained for Ising and XY magnetic models and percolation systems, including crossovers from algebraic order to true long-range order.

arXiv:cond-mat/0506716Physical Review EAug 24, 200520 citations

Phase diagrams of transverse Ising film

Xuan-Zhang Wang, Yan Zhao

Physica A Statistical Mechanics and its ApplicationsFeb 1, 199353 citations

Study of two dimensional anisotropic Ising models via a renormalization group approach

Farid Taherkhani, Hamed Akbarzadeh, Hadi Abroshan +3 more

Physica A Statistical Mechanics and its ApplicationsJul 30, 20133 citations

Renormalization group studies of phase diagrams of Ising and XY-model films of variable thickness

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