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Exactly Solvable Fermion Chain Describing a Fractional Quantum Hall State
Masaaki Nakamura, Zheng-Yuan Wang, Emil J. Bergholtz
We introduce an exactly solvable fermion chain that describes a fractional quantum Hall (FQH) state beyond the thin-torus limit. The ground state of our model is shown to b…
Fractional domain walls from on-site softening in dipolar bosons
Emma Wikberg, Jonas Larson, Emil J. Bergholtz +1
We study dipolar bosons in a 1D optical lattice and identify a region in parameter space---strong coupling but relatively weak on-site repulsion---hosting a series of stable charge…
Edge Mode Combinations in the Entanglement Spectra of Non-Abelian Fractional Quantum Hall States on the Torus
Zhao Liu, Emil J. Bergholtz, Heng Fan +1
We present a detailed analysis of bi-partite entanglement in the non-Abelian Moore-Read fractional quantum Hall state of bosons and fermions on the torus. In particular, we show th…
Beyond the Tao-Thouless limit of the fractional quantum Hall effect: spin chains and Fermi surface deformation
Masaaki Nakamura, Zheng-Yuan Wang, Emil J. Bergholtz
We discuss the relationship between the fractional quantum Hall effect in the vicinity of the thin-torus, a.k.a. Tao-Thouless (TT), limit and quantum spin chains. We argue that the…