# Isospin of topological defects in Dirac systems

@article{Herbut2012IsospinOT, title={Isospin of topological defects in Dirac systems}, author={Igor F. Herbut}, journal={Physical Review B}, year={2012}, volume={85}, pages={085304} }

We study the Dirac quasiparticles in $d$-dimensional lattice systems of electrons in the presence of domain walls ($d=1$), vortices ($d=2$), or hedgehogs ($d=3$) of superconducting and/or insulating, order parameters, which appear as mass terms in the Dirac equation. Such topological defects have been known to carry nontrivial quantum numbers, such as charge and spin. Here we discuss their additional internal degree of freedom: irrespective of the dimensionality of space and the nature of…

## 18 Citations

Emergent symmetries and coexisting orders in Dirac fermion systems

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- 2019

The quantum phase diagram and critical behavior of two-dimensional Dirac fermions coupled to two compatible order-parameter fields with $O(N_1)\oplus O(N_2)$ symmetry is investigated. Recent…

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We analyze emergent quantum multicriticality for strongly interacting, massless Dirac fermions in two spatial dimensions ($d=2$) within the framework of Gross-Neveu-Yukawa models, by considering the…

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Abstract We show that the existence of a pair of zero-energy modes bound to a vortex carrying a π -flux is a generic feature of the topologically non-trivial phase of the M – B model, which was…

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The one-loop coefficients in the free energy indicate that at weak coupling genuinely complex orders, which break time-reversal symmetry, are energetically favored.

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Superconducting instability can occur in three-dimensional quadratic band crossing semimetals only at a finite coupling strength due to the vanishing of density of states at the quadratic band…

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Luttinger semimetals include materials like gray tin ($\alpha$-Sn) and mercury telluride, which are three-dimensional gapless semiconductors having a quadratic band crossing point (QBCP). Due to a…

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