Momentum-space Harper-Hofstadter model

Year: 2015

Authors: Ozawa T., Price HM., Carusotto I.

Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy

Abstract: We show how the weakly trapped Harper-Hofstadter model can be mapped onto a Harper-Hofstadter model in momentum space. In this momentum-space model, the band dispersion plays the role of the periodic potential, the Berry curvature plays the role of an effective magnetic field, the real-space harmonic trap provides the momentum-space kinetic energy responsible for the hopping, and the trap position sets the boundary conditions around the magnetic Brillouin zone. Spatially local interactions translate into nonlocal interactions in momentum space: within a mean-field approximation, we show that increasing interparticle interactions leads to a structural change of the ground state, from a single rotationally symmetric ground state to degenerate ground states that spontaneously break rotational symmetry.

Journal/Review: PHYSICAL REVIEW A

Volume: 92 (2)      Pages from: 023609-1  to: 023609-10

KeyWords: TOPOLOGICAL INSULATORS; HALL CONDUCTANCE; MAGNETIC-FIELD; GAUGE-FIELDS; PHASE; LATTICE; STATES; SUPERLATTICES; ELECTRONS; BANDS
DOI: 10.1103/PhysRevA.92.023609

Citations: 10
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