Charge-$2e$ Skyrmion condensate in a hidden order state

Abstract

A higher angular momentum ($\ell =2$) $d$-density wave, a mixed triplet and a singlet, interestingly, admits skyrmionic textures. The Skyrmions carry charge $2e$ and can condense into a spin-singlet s-wave superconducting state. In addition, a charge current can be induced by a time-dependent inhomogeneous spin texture, leading to quantized charge pumping. The quantum phase transition between this mixed triplet $d$-density wave and skyrmionic superconducting condensate likely leads to deconfined quantum critical points. We suggest connections of this exotic state to electronic materials that are strongly correlated, such as the heavy fermion $\mathrm{UR}{\mathrm{u}}_2\mathrm{S}{\mathrm{i}}_2$. At the very least, we provide a concrete example in which topological order and broken symmetry are intertwined, which can give rise to non-BCS superconductivity.

11 pages, added a new appendix for the derivation of the non-linear sigma model

References in corpus (20)

• Topological Insulators
• Topological insulators and superconductors
• "Deconfined" quantum critical points
• Hidden Order in the Cuprates
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Topological Mott Insulators
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• Density Wave States of Non-Zero Angular Momentum
• Theory of Unconventional Spin Density Wave: A Possible Mechanism of the Micromagnetism in U-based Heavy Fermion Compounds
• Topological spin Hall states, charged skyrmions, and superconductivity in two dimensions
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• Spin nematic state as a candidate of the hidden order phase of URu${}_2$Si${}_2$
• Skyrmions with quadratic band touching fermions: A way to achieve charge 4e superconductivity
• Zero modes and charged Skyrmions in graphene bilayer
• Topological Electronic Liquids: Electronic Physics of One Dimension Beyond the One Dimension
• Topological density wave states of non-zero angular momentum
• Searching for topological density wave insulators in multi-orbital square lattice systems
• Skyrmion quantum numbers and quantized pumping in two dimensional topological chiral magnets

Cited by in corpus (12)

• Hidden Order Behaviour in URu2Si2 (A Critical Review of the Status of Hidden Order in 2014)
• First-principles theory of magnetic multipoles in condensed matter systems
• Superconducting phase within the hidden-order state of the heavy-fermion material $\mathrm{UR}{\mathrm{u}}_2\mathrm{S}{\mathrm{i}}_2$
• Topological defects of Néel order and Kondo singlet formation for Kondo-Heisenberg model on a honeycomb lattice
• Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice
• Competing Orders and Anomalies
• Skyrmions in a density wave state: a mechanism for chiral superconductivity
• Dynamic zero modes of Dirac fermions and competing singlet phases of antiferromagnetic order
• Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
• Heat capacity of URu${}_{2-x}$Os${}_x$Si${}_2$ at low temperatures
• Phenomenological theory of the superconducting state inside the hidden-order phase of URu${}_2$Si${}_2$
• Mechanism of skyrmion condensation and pairing for twisted bi-layer graphene