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Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator

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arxiv 1811.02583 v1 pith:WXWSHZMH submitted 2018-11-06 cond-mat.str-el

classification cond-mat.str-el
keywords quantumdefectsstatecondensationcouplinginsulatorinteraction-generatedmatter
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abstract

The discovery that spin-orbit coupling can generate a new state of matter in the form of quantum spin-Hall (QSH) insulators has brought topology to the forefront of condensed matter physics. While QSH states from spin-orbit coupling can be fully understood in terms of band theory, fascinating many-body effects are expected if the state instead results from interaction-generated symmetry breaking. In particular, topological defects of the corresponding order parameter provide a route to exotic quantum phase transitions. Here, we introduce a model in which the condensation of skyrmion defects in an interaction-generated QSH insulator produces a superconducting (SC) phase. Because vortex excitations of the latter carry a spin-$1/2$ degree of freedom numbers, the SC order may be understood as emerging from a gapless spin liquid normal state. The QSH-SC transition is an example of a deconfined quantum critical point (DQCP), for which we provide an improved model with only a single length scale that is accessible to large-scale quantum Monte Carlo simulations.

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  1. U(1)-gauged 2-flavor spin system in 3-D

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    A U(1)-gauged two-flavor spin model on a 3D lattice shows a transition that is likely weakly first order, passing near a multi-critical point, based on preliminary Monte Carlo data.

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