8 papers
Many-Anyon Braiding in Non-Abelian Fractional Quantum Hall Effect with Hybrid Monte Carlo Simulation
Ting-Tung Wang, Ha Quang Trung, Qianhui Xu +3
We employ the hybrid Monte Carlo method to efficiently compute the many-anyon non-Abelian braiding matrices associated with different braiding schemes of the Moore-Read quasiholes.…
Higher-Order Topological States with Cleavage-Dependent Dirac Mass
Hongyu Chen, Min Long, Chuang Chen +1
Topological quantum chemistry based on local charge profiles lacks predictive power for the crystalline cleavage of higher-order topological insulators (HOTIs). By cleaving an obst…
Chiral Graviton Modes in Non-Abelian lattice Fractional Quantum Hall states
Zeno Bacciconi, Min Long, Hernan Xavier +3
Synthetic quantum matter provides a highly tunable route to fractional quantum Hall physics beyond the constraints of conventional electronic materials. However, previous theoretic…
Chiral Graviton Modes in Fermionic Fractional Chern Insulators
Min Long, Zeno Bacciconi, Hongyu Lu +3
Chiral graviton modes are hallmark collective excitations of Fractional Quantum Hall (FQH) liquids. However, their existence on the lattice, where continuum symmetries that protect…
Hybrid Monte Carlo for Fractional Quantum Hall States
Ting-Tung Wang, Ha Quang Trung, Qianhui Xu +3
We develop a hybrid Monte Carlo method to efficiently compute the physical observables from the samplings of the Laughlin and the Moore-Read wave functions of fractional quantum Ha…
Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases
Lu Zhang, Min Long, Yuxuan Zhang +2
We extend the previous study of extracting crystalline symmetry-protected topological invariants to the correlated regime. We construct the interacting Hofstadter model defined on…