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Kozarski, Filip; Hügel, Dario; Pollet, Lode (2018): Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model. In: New Journal of Physics, Vol. 20, 43001
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Abstract

We study the ground-state phase diagram of the strongly interacting Harper-Hofstadter-Mott model at quarter flux on a quasi-one-dimensional lattice consisting of a single magnetic flux quantum in y-direction. In addition to superfluid phases with various density patterns, the ground-state phase diagram features quasi-one-dimensional analogs of fractional quantum Hall phases at fillings nu = 1/2 and 3/2, where the latter is only found thanks to the hopping anisotropy and the quasi-one-dimensional geometry. At integer fillings-where in the full two-dimensional system the ground-state is expected to be gapless-we observe gapped non-degenerate ground-states: at nu = 1 it shows an odd 'fermionic' Hall conductance, while the Hall response at nu = 2 consists of the transverse transport of a single particle-hole pair, resulting in a net zero Hall conductance. The results are obtained by exact diagonalization and in the reciprocal mean-field approximation.