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• W2014328402 abstract "We explore the possible particle-hole instabilities that can arise in a system of massless Dirac fermions on both the honeycomb and $ensuremath{pi}$-flux square lattices with short range interactions. Through analytical and numerical studies we show that these instabilities can result in a number of interesting phases. In addition to the previously identified charge and spin density wave phases and the exotic ``quantum anomalous Hall'' (Haldane) phase, we establish the existence of the dimerized ``Kekul'e'' phase over a significant portion of the phase diagram and discuss the possibility of its spinful counterpart, the ``spin Kekul'e'' phase. On the $ensuremath{pi}$-flux square lattice we also find various stripe phases, which do not occur on the honeycomb lattice. The Kekul'e phase is described by a ${text{Z}}_{3}$ order parameter whose singly quantized vortices carry fractional charge $ifmmodepmelsetextpmfi{}e/2$. On the $ensuremath{pi}$-flux lattice the analogous dimerized phase is described by a ${text{Z}}_{4}$ order parameter. We perform a fully self-consistent calculation of the vortex structure inside the dimerized phase and find that close to the core the vortex resembles a familiar superconducting U(1) vortex, but at longer length scales a clear ${Z}_{4}$ structure emerges with domain walls along the lattice diagonals." @default.
• W2014328402 created "2016-06-24" @default.
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• W2014328402 date "2010-02-05" @default.
• W2014328402 modified "2023-09-27" @default.
• W2014328402 title "Interaction-driven instabilities of a Dirac semimetal" @default.
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• W2014328402 doi "https://doi.org/10.1103/physrevb.81.085105" @default.
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