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Phase diagram of interacting spinless fermions on the honeycomb lattice | | Sylvain Capponi
; | | Date: |
5 Sep 2016 | | Abstract: | Fermions hopping on a hexagonal lattice represent one of the most active
research field in condensed matter since the discovery of graphene in 2004 and
its numerous applications. Another exciting aspect of the interplay between
geometry and quantum mechanical effects is given by the Haldane model (F. D. M.
Haldane, Phys. Rev. Lett. 61, 2015 (1988)) where spinless fermions experiencing
a certain flux pattern on the honeycomb lattice leads to the stabilization of a
topological phase of matter, distinct from a Mott insulator and dubbed Chern
insulator nowadays. In this context, it is crucial to understand the role of
interactions and this review will describe recent results that have been
obtained for a minimal model, namely spinless fermions fermions with nearest
and next-nearest neighbour density-density interactions on the honeycomb
lattice at half-filling.
Topics addressed include an introduction of the minimal model and a
discussion of the possible instabilities of the Dirac semimetal, a presentation
of various theroretical and numerical approaches, and a summary of the results
with a particular emphasis on the stability or not of some exotic quantum
phases such as charge ordered ones (similar to Wigner crystals) or spontaneous
Chern insulator phase. | | Source: | arXiv, 1609.1161 | | Services: | Forum | Review | PDF | Favorites | |
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