More about the Grassmann tensor renormalization group
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2021)188
Abstract: Abstract We derive a general formula of the tensor network representation for d-dimensional lattice fermions with ultra-local interactions, including Wilson fermions, staggered fermions, and domain-wall fermions. The Grassmann tensor is concretely defined with auxiliary Grassmann… read more here.
Keywords: grassmann tensor; renormalization group; tensor renormalization;
Irregular parameter dependence of numerical results in tensor renormalization group analysis
Sign Up to like & getrecommendations! Published in 2019 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptz056
Abstract: We study the parameter dependence of numerical results obtained by the tensor renormalization group. We often observe irregular behavior as the parameters are varied with the method. Using the two-dimensional Ising model we explicitly show… read more here.
Keywords: renormalization group; parameter dependence; tensor renormalization; dependence numerical ... See more keywords
Thermal tensor renormalization group simulations of square-lattice quantum spin models
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.045110
Abstract: In this work, we benchmark the well-controlled and numerically accurate exponential thermal tensor renormalization group (XTRG) in the simulation of interacting spin models in two dimensions. Finite temperature introduces a thermal correlation length, which justifies… read more here.
Keywords: thermal tensor; temperature; renormalization group; spin models ... See more keywords
Phase boundary location with information-theoretic entropy in tensor renormalization group flows
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.094430
Abstract: We present a simple and efficient tensor network method to accurately locate phase boundaries of two-dimensional classical lattice models. The method utilizes only the information-theoretic (von Neumann) entropy of quantities that automatically arise along tensor… read more here.
Keywords: entropy; renormalization group; tensor renormalization; information theoretic ... See more keywords
Anisotropic tensor renormalization group
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.102.054432
Abstract: We propose a new tensor renormalization group algorithm, Anisotropic Tensor Renormalization Group (ATRG), for lattice models in arbitrary dimensions. The proposed method shares the same versatility with the Higher-Order Tensor Renormalization Group (HOTRG) algorithm, i.e.,… read more here.
Keywords: anisotropic tensor; renormalization group; tensor renormalization; renormalization ... See more keywords
Bond-weighted tensor renormalization group
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.l060402
Abstract: We propose an improved tensor renormalization group (TRG) algorithm, the bond-weighted TRG (BTRG). In BTRG, we generalize the conventional TRG by introducing bond weights on the edges of the tensor network. We show that BTRG… read more here.
Keywords: renormalization; renormalization group; btrg; bond ... See more keywords
Tensor renormalization group algorithms with a projective truncation method
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.99.155101
Abstract: We apply the projective truncation technique to the tensor renormalization group (TRG) algorithm in order to reduce the computational cost from $O(\chi^6)$ to $O(\chi^5)$, where $\chi$ is the bond dimension, and propose three kinds of… read more here.
Keywords: projective truncation; renormalization group; tensor renormalization;
Tensor renormalization group study of the three-dimensional O (2) model
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.104.094517
Abstract: We calculate thermodynamic potentials and their derivatives for the three-dimensional O(2) model using tensor-network methods to investigate the well-known second-order phase transition. We also consider the model at non-zero chemical potential to study the Silver… read more here.
Keywords: group study; model; renormalization group; three dimensional ... See more keywords
Tensor renormalization group approach to ( 1+1 )-dimensional SU(2) principal chiral model at finite density
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review D"
DOI: 10.1103/physrevd.107.094509
Abstract: We apply the tensor renormalization group method to the (1+1)-dimensional SU(2) principal chiral model at finite chemical potential with the use of the Gauss-Legendre quadrature to discretize the SU(2) Lie group. The internal energy at… read more here.
Keywords: renormalization group; principal chiral; density; tensor renormalization ... See more keywords
Tensor renormalization group study of the non-Abelian Higgs model in two dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.99.114507
Abstract: We study the $SU(2)$ gauge-Higgs model in two Euclidean dimensions using the tensor renormalization group (TRG) approach. We derive a tensor formulation for this model in the unitary gauge and compare the expectation values of… read more here.
Keywords: study; model two; renormalization group; higgs model ... See more keywords
Tensor renormalization group study of hard-disk models on a triangular lattice.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.100.022108
Abstract: High accuracy and performance of the tensor renormalization group (TRG) method have been demonstrated for the model of hard disks on a triangular lattice. We considered a sequence of models with disk diameter ranging from… read more here.
Keywords: lattice; triangular lattice; renormalization group; tensor renormalization ... See more keywords