Improved coarse-graining methods for two dimensional tensor networks including fermions

Journal of High Energy Physics

Regular Article - Theoretical Physics

Yannick Meurice¹  Ryo Sakai²  Simon Catterall²  Goksu Can Toga²  Muhammad Asaduzzaman³ 

[1] Department of Physics and Astronomy, The University of Iowa, 52242, Iowa City, Iowa, USA;Department of Physics, Syracuse University, 13244, Syracuse, NY, USA;Department of Physics, Syracuse University, 13244, Syracuse, NY, USA;Department of Physics and Astronomy, The University of Iowa, 52242, Iowa City, Iowa, USA;

关键词: Algorithms and Theoretical Developments;    Field Theories in Lower Dimensions;    Phase Transitions;   

DOI  :  10.1007/JHEP01(2023)024

 received in 2022-10-11, accepted in 2022-12-12,  发布年份 2022

来源: Springer

【 摘 要 】

We show how to apply renormalization group algorithms incorporating entanglement filtering methods and a loop optimization to a tensor network which includes Grassmann variables which represent fermions in an underlying lattice field theory. As a numerical test a variety of quantities are calculated for two dimensional Wilson-Majorana fermions and for the two flavor Gross-Neveu model. The improved algorithms show much better accuracy for quantities such as the free energy and the determination of Fisher’s zeros.

【 授权许可】

Unknown   
© The Author(s) 2023