Critical properties of the two-dimensional -state clock model

ZQ Li, LP Yang, ZY **e, HH Tu, HJ Liao, T **ang - Physical Review E, 2020 - APS
We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit
to clarify the critical properties of the q-state clock model on the square lattice. We determine …

Exponential thermal tensor network approach for quantum lattice models

BB Chen, L Chen, Z Chen, W Li, A Weichselbaum - Physical Review X, 2018 - APS
We speed up thermal simulations of quantum many-body systems in both one-(1D) and two-
dimensional (2D) models in an exponential way by iteratively projecting the thermal density …

Automatic differentiation for second renormalization of tensor networks

BB Chen, Y Gao, YB Guo, Y Liu, HH Zhao, HJ Liao… - Physical Review B, 2020 - APS
Tensor renormalization group (TRG) constitutes an important methodology for accurate
simulations of strongly correlated lattice models. Facilitated by the automatic differentiation …

Tensor network simulation for the frustrated Ising model on the square lattice

H Li, LP Yang - Physical Review E, 2021 - APS
By using extensive tensor network calculations, we map out the phase diagram of the
frustrated J 1-J 2 Ising model on the square lattice. In particular, we focus on the cases with …

Quantum spin liquid candidate as superior refrigerant in cascade demagnetization cooling

XY Liu, Y Gao, H Li, W **, J **ang, H **… - Communications …, 2022 - nature.com
The quantum spin liquid (QSL) states with no long-range magnetic order even down to zero
temperature have recently raised intensive research interest. Here we propose that the spin …

Continuous matrix product operator approach to finite temperature quantum states

W Tang, HH Tu, L Wang - Physical Review Letters, 2020 - APS
We present an algorithm for studying quantum systems at finite temperature using
continuous matrix product operator representation. The approach handles both short-range …

Universal entropy of conformal critical theories on a Klein bottle

HH Tu - Physical review letters, 2017 - APS
We show that rational conformal field theories in 1+ 1 dimensions on a Klein bottle, with a
length L and width β, satisfying L≫ β, have a universal entropy. This universal entropy …

Universal scaling of Klein bottle entropy near conformal critical points

Y Zhang, A Hulsch, HC Zhang, W Tang, L Wang… - Physical Review Letters, 2023 - APS
We show that the Klein bottle entropy [H.-H. Tu, Phys. Rev. Lett. 119, 261603 (2017)
PRLTAO 0031-9007 10.1103/PhysRevLett. 119.261603] for conformal field theories …

Klein bottle entropy of compactified boson conformal field theory

W Tang, XC **e, L Wang, HH Tu - Physical Review B, 2019 - APS
We extend the scope of the Klein bottle entropy, originally introduced by Tu [Phys. Rev. Lett.
119, 261603 (2017) PRLTAO 0031-9007 10.1103/PhysRevLett. 119.261603] in the rational …

Extracting the Luttinger parameter from a single wave function

BY Tan, Y Zhang, HC Zhang, W Tang, L Wang… - arxiv preprint arxiv …, 2024 - arxiv.org
The low-energy physics of Tomonaga-Luttinger liquids (TLLs) is controlled by the Luttinger
parameter. We demonstrate that this parameter can be extracted from a single wave function …