4 papers
Translationally Covariant Modulated Symmetries: Classification and Goldstone
Bo-Ting Chen, Zihan Zhou, Biao Lian
Modulated symmetries are global symmetries with a spatially dependent unit of charge, such as the dipole symmetry and the exponential symmetry. We give the generic condition for a…
Quantum Hilbert Space Fragmentation and Entangled Frozen States
Zihan Zhou, Tian-Hua Yang, Bo-Ting Chen
We find that rank deficiency of the local Hamiltonian in a classically fragmented model is the key mechanism leading to quantum Hilbert space fragmentation. The rank deficiency pro…
Intervalley-Coupled Twisted Bilayer Graphene from Substrate Commensuration
Bo-Ting Chen, Michael G. Scheer, Biao Lian
We show that intervalley coupling can be induced in twisted bilayer graphene (TBG) by aligning the bottom graphene layer with either of two types of commensurate insulating triangu…
Bridging Commutant and Polynomial Methods for Hilbert Space Fragmentation
Bo-Ting Chen, Yu-Ping Wang, Biao Lian
A quantum model exhibits Hilbert space fragmentation (HSF) if its Hilbert space decomposes into exponentially many dynamically disconnected subspaces, known as Krylov subspaces. A…