7 papers
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…
Electric polarization in Chern insulators: Unifying many-body and single-particle approaches
Yuxuan Zhang, Maissam Barkeshli
Recently, it has been established that Chern insulators possess an intrinsic two-dimensional electric polarization, despite having gapless edge states and non-localizable Wannier o…
Mixed-state phase transitions in spin-Holstein models
Brett Min, Yuxuan Zhang, Yuxuan Guo +2
Understanding coupled electron-phonon systems is one of the fundamental issues in strongly correlated systems. In this work, we aim to extend the notion of mixed-state phases to th…
Fractionally Quantized Electric Polarization and Discrete Shift of Crystalline Fractional Chern Insulators
Yuxuan Zhang, Maissam Barkeshli
Fractional Chern insulators (FCI) with crystalline symmetry possess topological invariants that fundamentally have no analog in continuum fractional quantum Hall (FQH) states. Here…
Electric polarization and discrete shift from boundary and corner charge in crystalline Chern insulators
Yuxuan Zhang, Maissam Barkeshli
Recently, it has been shown how topological phases of matter with crystalline symmetry and charge conservation can be partially characterized by a set of many-body invariant…
Crystalline invariants of fractional Chern insulators
Ryohei Kobayashi, Yuxuan Zhang, Naren Manjunath +1
In the presence of crystalline symmetry, topologically ordered states can acquire a host of symmetry-protected invariants. These determine the patterns of crystalline symmetry frac…