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Cited by 180

The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.

Fractional topological liquids with time-reversal symmetry and their lattice realization

Open access
Neupert, Titus, Santos, Luiz, Ryu, Shinsei, Chamon, Claudio, Mudry, Christopher·2011·Physical Review B
DOI 10.1103/physrevb.84.165107
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Abstract

We present a class of time-reversal-symmetric fractional topological liquid states in two dimensions that support fractionalized excitations. These are incompressible liquids made of electrons, for which the charge Hall conductance vanishes and the spin Hall conductance needs not be quantized. We then analyze the stability of edge states in these two-dimensional topological fluids against localization by disorder. We find a ${\mathbb{Z}}_{2}^{\phantom{\rule{4pt}{0ex}}}$ stability criterion for whether or not there exists a Kramers pair of edge modes that is robust against disorder. We also introduce an interacting electronic two-dimensional lattice model based on partially filled flattened bands of a ${\mathbb{Z}}_{2}^{\phantom{\rule{4pt}{0ex}}}$ topological band insulator, which we study using numerical exact diagonalization. We show evidence for instances of the fractional topological liquid phase as well as for a time-reversal symmetry broken phase with a quantized (charge) Hall conductance in the phase diagram for this model.

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Metadata

Authors
Neupert, T., Santos, L., Ryu, S., Chamon, C., & Mudry, C.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
2011-10-10
Volume
84
Issue
16
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
DOI
10.1103/physrevb.84.165107
OpenAlex
W2047786902
Cited by
180
References
9
FWCI
14.25
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Fractional topological liquids with time-reversal symmetry and their lattice realization. https://app.cochat.ai/papers/10.1103/physrevb.84.165107
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Neupert, T., Santos, L., Ryu, S., Chamon, C., & Mudry, C. (2011). Fractional topological liquids with time-reversal symmetry and their lattice realization. Physical Review B. https://doi.org/10.1103/physrevb.84.165107

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