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: 23609-1  to: 23609-10

More Information: This work was funded by ERC through the QGBE grant, by the EU-FET Proactive grant AQuS, Project No. 640800, and by Provincia Autonoma di Trento, partially through the project On silicon chip quantum optics for quantum computing and secure communications-SiQuro. We thank M. Aidelsburger for useful exchanges on their experiments and N. Cooper for stimulating discussions.
KeyWords: Topological Insulators; Hall Conductance; Magnetic-field; Gauge-fields; Phase; Lattice; States; Superlattices; Electrons; Bands
DOI: 10.1103/PhysRevA.92.023609

ImpactFactor: 2.765
Citations: 12
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