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Title: Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice

Abstract

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.

Authors:
 [1];  [2];  [1];  [3];  [1]
  1. California State Univ. Northridge (CSUN), Northridge, CA (United States)
  2. Florida State Univ., Tallahassee, FL (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
California State Univ. Northridge (CSUN), Northridge, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1505728
Alternate Identifier(s):
OSTI ID: 1328624
Grant/Contract Number:  
FG02-06ER46305
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal Issue: 9; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Zhu, W., Gong, Shou-Shu, Zeng, Tian-Sheng, Fu, Liang, and Sheng, D. N. Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice. United States: N. p., 2016. Web. doi:10.1103/physrevlett.117.096402.
Zhu, W., Gong, Shou-Shu, Zeng, Tian-Sheng, Fu, Liang, & Sheng, D. N. Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice. United States. doi:10.1103/physrevlett.117.096402.
Zhu, W., Gong, Shou-Shu, Zeng, Tian-Sheng, Fu, Liang, and Sheng, D. N. Tue . "Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice". United States. doi:10.1103/physrevlett.117.096402. https://www.osti.gov/servlets/purl/1505728.
@article{osti_1505728,
title = {Interaction-Driven Spontaneous Quantum Hall Effect on a Kagome Lattice},
author = {Zhu, W. and Gong, Shou-Shu and Zeng, Tian-Sheng and Fu, Liang and Sheng, D. N.},
abstractNote = {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.},
doi = {10.1103/physrevlett.117.096402},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 9,
volume = 117,
place = {United States},
year = {2016},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
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Figures / Tables:

FIG. 1 FIG. 1: Phase diagram of an extended fermion-Hubbard model [Eq. (1)] plotted in (a) V1 = V2 and V3 parameter space and in (b) V1 and V2 = V3 parameter space, obtained by DMRG calculations on a cylinder of circumference Ly = 6. The QAH phase is characterized by themore » long-range current-current correlations and integer quantized Hall conductance. The phase boundary between the QAH phase and the other phase is determined by the emergent loop current which signals spontaneous TRS breaking. Contour plots of the static density structure factor are shown for (c) the charge density wave q = (0, 0) phase, (d) the stripe phase, and (e) the QAH phase. The white dashed line shows the first Brillouin zone.« less

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    Works referencing / citing this record:

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    Large-gap quantum anomalous Hall phase in hexagonal organometallic frameworks
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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.