5 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…
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…
Quantum anomaly triggers the violation of scaling laws in gravitational system
Ya-Peng Hu, Yu-Sen An, Gao-Yong Sun +5
Scaling laws for critical phenomena take pivotal status in almost all branches of physics. However, as scaling laws are commonly guaranteed by the renormalization group theory, sys…
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…
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…