387 citations · 1.1k across the 32 of their papers we have counts for
23 papers · 1 filter
Optimized Tensor-Network Renormalization for Quantum Dynamics: Resolving the Spectral Function of
Jiahang Hu, Runze Chi, B. Normand +2
Tensor-network methods have opened a powerful route for the study of dynamical spectral functions in two-dimensional quantum systems. However, existing approaches within the framew…
Exact Neural-Network Representations of the Motzkin States
Runde Zha, Yuntian Gu, Chaohui Fan +3
Motzkin spin chains are paradigmatic frustration-free one-dimensional quantum systems whose ground states feature exactly solvable combinatorial structures and exotic, area-law-vio…
Dynamical Spectral Function of the Kagome Quantum Spin Liquid
Jiahang Hu, Runze Chi, Yibin Guo +3
Quantum spin liquids (QSLs) host exotic fractionalized magnetic and gauge-field excitations whose microscopic origins and experimental verification remain frustratingly elusive. In…
Thermodynamics of the Hubbard Model on the Bethe Lattice
Jia-Lin Chen, Zhen Fan, Bo Zhan +6
We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our fi…
Possible Observation of Quadrupole Waves in Spin Nematics
Jieming Sheng, Jiahang Hu, Lei Xu +15
Discovery of new states of matter is a key objective in modern condensed matter physics, which often leads to revolutionary technological advancements such as superconductivity. Qu…
Universal scaling behavior of resistivity under two-dimensional superconducting phase fluctuations
Zongsheng Zhou, Kang Wang, Hai-Jun Liao +2
In superconductors with relatively low superfluid density, such as cuprate high- superconductors, the phase fluctuations of the superconducting order parameter are remarkable,…
Dynamical Spectra of Spin Supersolid States in Triangular Antiferromagnets
Runze Chi, Jiahang Hu, Hai-Jun Liao +1
We employ tensor network renormalization to explore the dynamical spectra of the easy-axis triangular-lattice antiferromagnet (TLAF) in a magnetic field. Our analysis identifies tw…
Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
Kang Wang, Shi Feng, Penghao Zhu +4
We investigate the signatures of fractionalization in quantum spin liquids by studying different phases of the Kitaev honeycomb model in the presence of an out-of-plane magnetic fi…
Accurate determination of low-energy eigenspectra with multi-target matrix product states
Xuan Li, Zongsheng Zhou, Guanglei Xu +5
Determining the low-energy eigenspectra of quantum many-body systems is a long-standing challenge in physics. In this work, we solve this problem by introducing two novel algorithm…
Umklapp scattering in the one-dimensional Hubbard model
Tong Liu, Kang Wang, Runze Chi +3
The Mott metal-insulator transition is a typical strong correlation effect triggered by the Umklapp scattering. However, in a physical system, the Umklapp scattering coexists with…
Two-dimensional coherent spectrum of interacting spinons from matrix-product states
Qi Gao, Yang Liu, Haijun Liao +1
We compute numerically the second and third order nonlinear magnetic susceptibilities of an Ising ladder model in the context of two-dimensional coherent spectroscopy by using the…
Projected d-wave superconducting state: a fermionic projected entangled pair state study
Qi Yang, Xing-Yu Zhang, Hai-Jun Liao +2
We investigate the physics of projected d-wave pairing states using their fermionic projected entangled pair state (fPEPS) representation. First, we approximate a d-wave Bardeen-Co…
Spin Excitation Spectra of Anisotropic Spin- Triangular Lattice Heisenberg Antiferromagnets
Run-Ze Chi, Yang Liu, Yuan Wan +2
Investigation of dynamical excitations is difficult but crucial to the understanding of many exotic quantum phenomena discovered in quantum materials. This is particularly true for…
Automatic Differentiation for Second Renormalization of Tensor Networks
Bin-Bin Chen, Yuan Gao, Yi-Bin Guo +7
Tensor renormalization group (TRG) constitutes an important methodology for accurate simulations of strongly correlated lattice models. Facilitated by the automatic differentiation…
Differentiable Programming Tensor Networks
Hai-Jun Liao, Jin-Guo Liu, Lei Wang +1
Differentiable programming is a fresh programming paradigm which composes parameterized algorithmic components and trains them using automatic differentiation (AD). The concept eme…
Reorthonormalization of Chebyshev matrix product states for dynamical correlation functions
H. D. Xie, R. Z. Huang, X. J. Han +5
The Chebyshev expansion offers a numerically efficient and easy-implement algorithm for evaluating dynamic correlation functions using matrix product states (MPS). In this approach…
Analytic continuation with Padé decomposition
Xing-Jie Han, Hai-Jun Liao, Hai-Dong Xie +3
The ill-posed analytic continuation problem for Green's functions or self-energies can be done using the Padé rational polynomial approximation. However, to extract accurate result…
Optimized contraction scheme for tensor-network states
Z. Y. Xie, H. J. Liao, R. Z. Huang +4
In the tensor-network framework, the expectation values of two-dimensional quantum states are evaluated by contracting a double-layer tensor network constructed from initial and fi…
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…
Gapless spin-liquid ground state in the kagome antiferromagnet
H. J. Liao, Z. Y. Xie, J. Chen +5
Frustrated quantum magnetism has moved to the forefront of physics research, posing fundamental questions concerning quantum disordered states, entanglement, topology and the natur…
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…
Heisenberg antiferromagnet on the Husimi lattice
H. J. Liao, Z. Y. Xie, J. Chen +4
We perform a systematic study of the antiferromagnetic Heisenberg model on the Husimi lattice using numerical tensor-network methods based on Projected Entangled Simplex States (PE…