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Bosonic integer quantum Hall effect in an interacting lattice model.

Yin-Chen He1, Subhro Bhattacharjee1,2, R Moessner1

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany.

Physical Review Letters
|September 26, 2015
PubMed
Summary
This summary is machine-generated.

We discovered a bosonic integer quantum Hall phase in a honeycomb lattice model. This symmetry-protected topological phase exhibits quantized Hall conductance and gapless edge modes, paving the way for experimental realization.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Hall Effect
  • Topological Phases of Matter

Background:

  • Symmetry-protected topological (SPT) phases are exotic states of matter characterized by their unique ground state properties.
  • Bosonic systems offer a distinct platform for exploring topological phenomena, complementing fermionic studies.
  • The honeycomb lattice provides a rich environment for studying correlated electron behaviors and topological phases.

Purpose of the Study:

  • To investigate a bosonic model with correlated hopping on a honeycomb lattice.
  • To identify and characterize the ground state phase of this model.
  • To explore the potential for realizing symmetry-protected topological phases in experimentally accessible systems.

Main Methods:

  • Utilizing the infinite density matrix renormalization group (iDMRG) method for numerical simulations.
  • Analyzing the ground state properties of the bosonic model.
  • Calculating the Hall conductance and edge mode spectrum.

Main Results:

  • The ground state of the model was identified as a bosonic integer quantum Hall (BIQH) phase.
  • Numerical evidence confirmed a quantized Hall conductance with |σxy|=2.
  • Two counterpropagating gapless edge modes were observed, characteristic of the BIQH phase.

Conclusions:

  • The studied bosonic model stabilizes a prominent example of an SPT phase.
  • The findings demonstrate a novel class of systems capable of stabilizing SPT phases protected by continuous symmetry.
  • This work opens new avenues for the experimental realization of exotic topological phases.