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- W2085158440 abstract "We classify all possible 36 gap-opening instabilities in graphenelike structures in two dimensions, i.e., masses of Dirac Hamiltonian when the spin, valley, and superconducting channels are included. These 36 order parameters break up into 56 possible quintuplets of masses that add in quadrature and hence do not compete and thus can coexist. There is additionally a sixth competing mass, the one added by Haldane to obtain the quantum Hall effect in graphene without magnetic fields, which breaks time-reversal symmetry and competes with all other masses in any of the quintuplets. Topological defects in these five-dimensional order parameters can generically bind excitations with fractionalized quantum numbers. The problem simplifies greatly if we consider spin-rotation invariant systems without superconductivity. In such simplified systems, the possible masses are only 4 and correspond to the Kekul'e dimerization pattern, the staggered chemical potential, and the Haldane mass. Vortices in the Kekul'e pattern are topological defects that have Abelian fractional statistics in the presence of the Haldane term. We calculate the statistical angle by integrating out the massive fermions and constructing the effective field theory for the system. Finally, we discuss how one can have generically non-Landau-Ginzburg-type transitions with direct transitions between phases characterized by distinct order parameters." @default.
- W2085158440 created "2016-06-24" @default.
- W2085158440 creator A5020365252 @default.
- W2085158440 creator A5051072329 @default.
- W2085158440 creator A5053662519 @default.
- W2085158440 creator A5076196229 @default.
- W2085158440 date "2009-11-18" @default.
- W2085158440 modified "2023-09-30" @default.
- W2085158440 title "Masses in graphenelike two-dimensional electronic systems: Topological defects in order parameters and their fractional exchange statistics" @default.
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- W2085158440 doi "https://doi.org/10.1103/physrevb.80.205319" @default.
- W2085158440 hasPublicationYear "2009" @default.
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