Fractional Chern insulators in bands with zero Berry curvature
| Autor: | Steven H. Simon, N. Read, Fenner Harper |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Strongly Correlated Electrons (cond-mat.str-el) Condensed Matter - Mesoscale and Nanoscale Physics FOS: Physical sciences Insulator (electricity) Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Electronic Optical and Magnetic Materials Brillouin zone Condensed Matter - Strongly Correlated Electrons Quantum mechanics Topological insulator Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences Berry connection and curvature 010306 general physics Electronic band structure |
| Zdroj: | Physical Review B. 92 |
| ISSN: | 1550-235X 1098-0121 |
| DOI: | 10.1103/physrevb.92.195104 |
| Popis: | Even if a noninteracting system has zero Berry curvature everywhere in the Brillouin zone, it is possible to introduce interactions that stabilise 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 stabilised in a band with zero Berry curvature. 7 pages, 2 figures; Published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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