Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice

Zhu, W.; Gong, Shou-Shu; Zeng, Tian-Sheng; Fu, Liang; Sheng, D. N.

doi:10.1103/physrevlett.117.096402

Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice

Journal Article · Tue Aug 23 00:00:00 EDT 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.117.096402· OSTI ID:1505728

Zhu, W. ^[1]; Gong, Shou-Shu ^[2]; Zeng, Tian-Sheng ^[3]; Fu, Liang ^[4]; Sheng, D. N. ^[3]

California State Univ. Northridge (CSUN), Northridge, CA (United States); none
Florida State Univ., Tallahassee, FL (United States)
California State Univ. Northridge (CSUN), Northridge, CA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Topological states of matter have been widely studied as being driven by an external magnetic field, intrinsic spin-orbital coupling, or magnetic doping. With this work, we unveil an interaction-driven spontaneous quantum Hall effect (a Chern insulator) emerging in an extended fermion-Hubbard model on a kagome lattice, based on a state-of-the-art density-matrix renormalization group on cylinder geometry and an exact diagonalization in torus geometry.We first demonstrate that the proposed model exhibits an incompressible liquid phase with doublet degenerate ground states as time-reversal partners. The explicit spontaneous time-reversal symmetry breaking is determined by emergent uniform circulating loop currents between nearest neighbors. Moreover, the fingerprint topological nature of the ground state is characterized by quantized Hall conductance. Hence, we identify the liquid phase as a quantum Hall phase, which provides a “proof-of-principle” demonstration of the interaction-driven topological phase in a topologically trivial noninteracting band.

View Accepted Manuscript (DOE)

Research Organization:: California State Univ. Northridge (CSUN), Northridge, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: FG02-06ER46305

OSTI ID:: 1505728

Alternate ID(s):: OSTI ID: 1328624

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 117; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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