74 citations · 165 across the 6 of their papers we have counts for
6 papers
Quantum geometry in condensed matter
Tianyu Liu, Xiao-Bin Qiang, Hai-Zhou Lu +1
One of the most celebrated accomplishments of modern physics is the description of fundamental principles of nature in the language of geometry. As the motion of celestial bodies i…
Moderate Deviation and Berry-Esseen Bounds in the -Spin Curie-Weiss Model
Somabha Mukherjee, Tianyu Liu, Bhaswar B. Bhattacharya
Limit theorems for the magnetization in the -spin Curie-Weiss model, for , has been derived recently by Mukherjee et al. (2021). In this paper, we strengthen these res…
Chiral Anomaly Beyond Fermionic Paradigm
Tianyu Liu, Zheng Shi, Hai-Zhou Lu +1
Two-dimensional magnets have manifested themselves as promising candidates for quantum devices. We here report that the edge and strain effects during the device fabrication with t…
Approximability of the Four-Vertex Model
Zhiguo Fu, Tianyu Liu, Xiongxin Yang
We study the approximability of the four-vertex model, a special case of the six-vertex model.We prove that, despite being NP-hard to approximate in the worst case, the four-vertex…
Strain-induced pseudo-magnetic field in lattice
Junsong Sun, Tianyu Liu, Yi Du +1
We investigate the effects of a nonuniform uniaxial strain and a triaxial strain on the lattice. The analytical expressions of the pseudo-Landau levels (pLLs) are de…
Quantum oscillations without magnetic field
Tianyu Liu, D. I. Pikulin, M. Franz
When magnetic field is applied to a metal, nearly all observable quantities exhibit oscillations periodic in . Such quantum oscillations reflect the fundamental reorganiza…