14 citations · 25 across the 5 of their papers we have counts for
6 papers
Lattice and PT symmetries in tensor-network renormalization group: Case study of a hard-square lattice gas model
Xinliang Lyu
The tensor-network renormalization group (TNRG) is an accurate numerical real-space renormalization group method for studying phase transitions in both quantum and classical system…
Lattice-reflection symmetry in tensor-network renormalization group with entanglement filtering in two and three dimensions
Xinliang Lyu, Naoki Kawashima
Tensor-network renormalization group (TNRG) is an efficient real-space renormalization group method for studying the criticality in both classical and quantum lattice systems. Expl…
Three-dimensional real space renormalization group with well-controlled approximations
Xinliang Lyu, Naoki Kawashima
We make Kadanoff's block idea into a reliable three-dimensional (3D) real space renormalization group (RG) method. Kadanoff's idea, expressed in spin representation, offers a quali…
Essential difference between 2D and 3D from the perspective of real-space renormalization group
Xinliang Lyu, Naoki Kawashima
We point out that area laws of quantum-information concepts indicate limitations of block transformations as well-behaved real-space renormalization group (RG) maps, which in turn…
Cartesian operator factorization method for Hydrogen
Xinliang Lyu, Christina Daniel, James K. Freericks
We generalize Schroedinger's factorization method for Hydrogen from the conventional separation into angular and radial coordinates to a Cartesian-based factorization. Unique to th…
Scaling dimensions from linearized tensor renormalization group transformations
Xinliang Lyu, RuQing G. Xu, Naoki Kawashima
We show a way to perform the canonical renormalization group (RG) prescription in tensor space: write down the tensor RG equation, linearize it around a fixed-point tensor, and dia…