399 citations · 1.3k across the 20 of their papers we have counts for
20 papers
Grassmann corner transfer-matrix renormalization group approach to one-dimensional fermionic models
Jian-Gang Kong, Zhi-Yuan Xie
The strongly correlated fermions play a vital role in modern physics. For a given fermionic Hamiltonian system, the most widely used approach to explore the underlying physics is t…
Critical properties of the two-dimensional -state clock model
Zi-Qian Li, Li-Ping Yang, Z. Y. Xie +3
We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit to clarify the critical properties of the -state clock model on the square lattice…
Phase transitions of the five-state clock model on the square lattice
Y. Chen, Z. Y. Xie, J. F. Yu
Using the tensor renormalization group method based on the higher-order singular value decomposition,we have studied the phase transitions of the five-state clock model on the squa…
Phase transition of the q-state clock model: duality and tensor renormalization
Jing Chen, Hai-Jun Liao, Hai-Dong Xie +6
We investigate the critical behavior and the duality property of the ferromagnetic -state clock model on the square lattice based on the tensor-network formalism. From the entan…
A generalized Lanczos method for systematic optimization of tensor network states
Rui-Zhen Huang, Hai-Jun Liao, Zhi-Yuan Liu +5
We propose a generalized Lanczos method to generate the many-body basis states of quantum lattice models using tensor-network states (TNS). The ground-state wave function is repres…
Self-consistent spin-wave analysis of the 1/3 magnetization plateau in the kagome antiferromagnet
Zhong-Chao Wei, Hai-Jun Liao, Jing Chen +6
We propose a modified spin-wave theory to study the 1/3 magnetization plateau of the antiferromagnetic Heisenberg model on the kagome lattice. By the self-consistent inclusion of q…
Charge dynamics of the antiferromagnetically ordered Mott insulator
X. J. Han, Y. Liu, Z. Y. Liu +5
We study the charge dynamics of the half-filled Hubbard model on the square lattice at zero temperature. We employ a slave-fermion formulation in which the charge degrees of freedo…
Approaching conformality with the Tensor Renormalization Group method
Yannick Meurice, Li-Ping Yang, Judah Unmuth-Yockey +4
We discuss the Tensor Renormalization Group (TRG) method for the O(2) model with a chemical potential in 1+1 dimensions with emphasis on near gapless/conformal situations. We empha…
Ground State Degeneracy of Interacting Spinless Fermions
Zhong-Chao Wei, Xing-Jie Han, Zhi-Yuan Xie +1
We propose an eigen-operator scheme to study the lattice model of interacting spinless fermions at half filling and show that this model possesses a hidden form of reflection posit…
Partial long-range order in antiferromagnetic Potts models
M. P. Qin, Q. N. Chen, Z. Y. Xie +5
The Potts model plays an essential role in classical statistical mechanics, illustrating many fundamental phenomena. One example is the existence of partially long-range-ordered st…
Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice
S. Wang, Z. Y. Xie, J. Chen +2
We investigate the 2- and 3-state ferromagnetic Potts models on the simple cubic lattice using the tensor renormalization group method with higher-order singular value decompositio…
Comparing Tensor Renormalization Group and Monte Carlo calculations for spin and gauge models
Yannick Meurice, Alan Denbleyker, Yuzhi Liu +5
We show that the Tensor Renormalization Group (TRG) method can be applied to O(N) spin models, principal chiral models and pure gauge theories (Z2, U(1) and SU(2)) on (hyper) cubic…
Controlling sign problems in spin models using tensor renormalization
Alan Denbleyker, Yuzhi Liu, Y. Meurice +5
We consider the sign problem for classical spin models at complex on lattices. We show that the tensor renormalization group method allows reliable calculat…
Tensor renormalization group study of classical XY model on the square lattice
J. F. Yu, Z. Y. Xie, Y. Meurice +6
Using the tensor renormalization group method based on the higher-order singular value decom- position, we have studied the thermodynamic properties of the continuous XY model on t…
Partial order in Potts models on the generalized decorated square lattice
M. P. Qin, J. Chen, Q. N. Chen +5
We explore the Potts model on the generalized decorated square lattice, with both nearest (J1) and next-neighbor (J2) interactions. Using the tensor renormalization-group method au…
The tensor renormalization group study of the general spin-S Blume-Capel model
Li-Ping Yang, Zhi-Yuan Xie
We focus on the special situation of of the general spin-S Blume-Capel model on the square lattice. Under the infinitesimal external magnetic field, the phase transition beh…
Coarse-graining renormalization by higher-order singular value decomposition
Z. Y. Xie, J. Chen, M. P. Qin +3
We propose a novel coarse graining tensor renormalization group method based on the higher-order singular value decomposition. This method provides an accurate but low computationa…
Translation invariant tensor product states in a finite lattice system
J. W. Cai, Q. N. Chen, H. H. Zhao +4
We show that the matrix (or more generally tensor) product states in a finite translation invariant system can be accurately constructed from the same set of local matrices (or ten…
Renormalization of tensor-network states
H. H. Zhao, Z. Y. Xie, Q. N. Chen +3
We have discussed the tensor-network representation of classical statistical or interacting quantum lattice models, and given a comprehensive introduction to the numerical methods…
Second Renormalization of Tensor-Network States
Z. Y. Xie, H. C. Jiang, Q. N. Chen +2
We propose a second renormalization group method to handle the tensor-network states or models. This method reduces dramatically the truncation error of the tensor renormalization…