6 papers
Arithmetic Tuning of Dynamical Critical Exponents in Quasiperiodic Localization Transitions
Tian-Cheng Yi, Yi-Fan Liu, Enguo Guan +1
The critical exponents and universality classes of localization transitions in quasiperiodic systems are of fundamental importance for understanding critical phenomena in aperiodic…
Many-body mobility edges in one dimension revealed by efficient and interpretable feature-based learning with Kolmogorov-Arnold Networks
Siqi Dai, Tian-Cheng Yi, Xingbo Wei +1
We study the many-body localization (MBL) transition in interacting fermionic systems on disordered one-dimensional lattices using a physics-informed machine-learning framework. In…
Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
Tian-Cheng Yi, Ying-Ying Fang, Wen Chen +2
In this study, we investigate the localization transition and quantum criticality {in the ground state of the} disordered Aubry-André-Harper (AAH) model, where a quasiperiodic pot…
Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
Tian-Cheng Yi, Chengxiang Ding, Maoxin Liu +2
We investigate a generalized antiferromagnetic cluster XY model in a transverse magnetic field, where long-range interactions decay algebraically with distance. This model can be e…
Bound states in one-dimensional systems with colored noise
Xingbo Wei, Kewei Feng, Tian-Cheng Yi +3
We investigate the phase transitions in a one-dimensional system with colored noise. Previous studies indicated that the phase diagram of this system included extended and disorder…
Quantum criticality of generalized Aubry-André models with exact mobility edges using fidelity susceptibility
Yu-Bin Liu, Wen-Yi Zhang, Tian-Cheng Yi +3
In this study, we explore the quantum critical phenomena in generalized Aubry-André models, with a particular focus on the scaling behavior at various filling states. Our approach…