Thermodynamic and Dynamical Signatures of a Quantum Spin-Hall Insulator to Superconductor Transition

Abstract

Thermodynamic and dynamical properties of a model of Dirac fermions with a deconfined quantum critical point (DQCP) separating an interaction-generated quantum spin-Hall insulator from an s-wave superconductor [Nature Comm.~{\bf 10}, 2658 (2019)] are studied by quantum Monte Carlo simulations. Inside the deconfined quantum critical region bound by the single-particle gap, spinons and spinless charge-2e skyrmions emerge. Since the model conserves total spin and charge, and has a single length scale, these excitations lead to a characteristic linear temperature dependence of the uniform spin and charge susceptibilities. At the DQCP, the order parameter dynamic structure factors show remarkable similarities that support emergent Lorentz symmetry. Above a critical temperature, superconductivity is destroyed by the proliferation of spin-1/2 vortices.

arXiv comment8 pages and 8 figures

References in corpus (30)

• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• "Deconfined" quantum critical points
• Quantum Criticality in Heavy Fermion Metals
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Quantum criticality with two length scales
• Competing orders, non-linear sigma models, and topological terms in quantum magnets
• A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics
• Emergent $SO(5)$ Symmetry at the Néel to Valence-Bond-Solid Transition
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Theta-terms in nonlinear sigma-models
• Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice, with possible applications to twisted bilayer graphene
• Intrinsically Gapless Topological Phases
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Fermion-induced quantum critical points
• Topological spin Hall states, charged skyrmions, and superconductivity in two dimensions
• Finite-size scaling at quantum transitions
• A theory of deconfined pseudo-criticality
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions
• Phases of the (2+1) dimensional SO(5) non-linear sigma model with topological term
• The ALF (Algorithms for Lattice Fermions) project release 1.0. Documentation for the auxiliary field quantum Monte Carlo code
• Doping-induced quantum spin Hall insulator to superconductor transition
• Thermodynamics of a gas of deconfined bosonic spinons in two dimensions
• Thermal valence-bond-solid transition of quantum spins in two dimensions
• Gross-Neveu Heisenberg criticality: dynamical generation of quantum spin Hall masses

Cited by in corpus (2)

• Critical properties of metallic and deconfined quantum phase transitions in Dirac systems
• Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment