Journal article
Fractional Chern insulators in bands with zero Berry curvature
- Abstract:
- Even if a noninteracting system has zero Berry curvature everywhere in the Brillouin zone, it is possible to introduce interactions that stabilize a fractional Chern insulator. These interactions necessarily break time-reversal symmetry (either spontaneously or explicitly) and have the effect of altering the underlying band structure. We outline a number of ways in which this may be achieved and show how similar interactions may also be used to create a (time-reversal-symmetric) fractional topological insulator. While our approach is rigorous in the limit of long-range interactions, we show numerically that even for short-range interactions a fractional Chern insulator can be stabilized in a band with zero Berry curvature.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
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(Preview, Accepted manuscript, pdf, 494.6KB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevB.92.195104
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Simon, S
- Grant:
- EP/I032487/1
- EP/I031014/1
- Publisher:
- American Physical Society
- Journal:
- Physical Review B More from this journal
- Volume:
- 92
- Issue:
- 19
- Publication date:
- 2015-11-03
- DOI:
- EISSN:
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1550-235X
- ISSN:
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1098-0121
- Pubs id:
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pubs:579444
- UUID:
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uuid:bba1a667-d4e5-4236-9fce-df5749d70bef
- Local pid:
-
pubs:579444
- Source identifiers:
-
579444
- Deposit date:
-
2016-01-18
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2015
- Notes:
- ©2015 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from the American Physical Society at: [10.1103/PhysRevB.92.195104]
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