Bosonic Integer Quantum Hall Effect in an Interacting Lattice Model

2015/06/30 by Yin-Chen He, Subhro Bhattacharjee, Roderich Moessner +2 · 1 citation
Physics and Astronomy · #Condensed matter physics #Density matrix renormalization group #Electron #Gapless playback #Lattice (music) #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Renormalization group #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.115.116803

published as Phys. Rev. Lett. 115, 116803 (2015) · 7 pages, 6 figures

openalex publication_date 2015/09/10 · arxiv created 2015/09/11 · arxiv updated 2015/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study a bosonic model with correlated hopping on a honeycomb lattice, and show that its ground state is a bosonic integer quantum Hall (BIQH) phase, a prominent example of a symmetry-protected topological (SPT) phase. By using the infinite density matrix renormalization group method, we establish the existence of the BIQH phase by providing clear numerical evidence: (i) a quantized Hall conductance with |σ_xy|=2, (ii) two counterpropagating gapless edge modes. Our simple model is an example of a novel class of systems that can stabilize SPT phases protected by a continuous symmetry on lattices and opens up new possibilities for the experimental realization of these exotic phases.

Citations

• Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Quantum phase transitions between bosonic symmetry-protected topological phases in two dimensions: EmergentQED3and anyon superfluid
• TOPOLOGICAL ORDERS IN RIGID STATES
• Two-Dimensional Magnetotransport in the Extreme Quantum Limit
• Density-matrix algorithms for quantum renormalization groups
• Entanglement spectrum of a topological phase in one dimension
• Flux insertion, entanglement, and quantized responses
• Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms

Cited by

• Quantum phases of strongly interacting bosons on a two-leg Haldane ladder