Particle-vortex symmetric liquid

Abstract

We introduce an effective theory with manifest particle-vortex symmetry for disordered thin films undergoing a magnetic field-tuned superconductor-insulator transition. The theory may enable one to access both the critical properties of the strong-disorder limit, which has recently been confirmed by Breznay et al. [PNAS 113, 280 (2016)] to exhibit particle-vortex symmetric electrical response, and the nearby metallic phase discovered earlier by Mason and Kapitulnik [Phys. Rev. Lett. 82, 5341 (1999)] in less disordered samples. Within the effective theory, the Cooper-pair and field-induced vortex degrees of freedom are simultaneously incorporated into an electrically-neutral Dirac fermion minimally coupled to an (emergent) Chern-Simons gauge field. A derivation of the theory follows upon mapping the superconductor-insulator transition to the integer quantum Hall plateau transition and the subsequent use of Son's particle-hole symmetric composite Fermi liquid. Remarkably, particle-vortex symmetric response does not require the introduction of disorder; rather, it results when the Dirac fermions exhibit vanishing Hall effect. The theory predicts approximately equal (diagonal) thermopower and Nernst signal with a deviation parameterized by the measured electrical Hall response at the symmetric point.

20 pages, 2 figures, and 3 appendices; v2 fixed small typos and updated refs

References in corpus (11)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Particle-Vortex Duality from 3d Bosonization
• The nature of composite fermions and the role of particle hole symmetry: A microscopic account
• Composite Dirac liquids: parent states for symmetric surface topological order
• A controlled expansion for certain non-Fermi liquid metals
• Quantum critical metals in $4-\epsilon$ dimensions
• Emergent particle-hole symmetry in the half-filled Landau level
• High field termination of a Cooper-pair insulator
• Bosonic Analogue of Dirac Composite Fermi Liquid
• Not Just a Phase: Bose Metal Unveiled

Cited by in corpus (14)

• Anomalous metals -- failed superconductors
• Duality between $(2+1)d$ Quantum Critical Points
• Bosonization and Mirror Symmetry
• Nonsupersymmetric dualities from mirror symmetry
• Extreme Sensitivity of the Superconducting State in Thin Films
• Self-Dual $\nu =1$ Bosonic Quantum Hall State in Mixed Dimensional QED
• Partial filled Landau Level at even denominator, a vortex metal with Berry phase
• Self-duality of the integer quantum Hall to insulator transition: composite fermion description
• Duality Web on a 3D Euclidean Lattice and Manifestation of Hidden Symmetries
• Scaling and Diffusion of Dirac Composite Fermions
• Thermoelectric properties and Wiedemann-Franz like relations in mixed-dimensional QEDs from particle-vortex dualities
• Universal conductivity at a 2d superconductor-insulator transition: the effects of quenched disorder and Coulomb interaction
• Two types of superconducting pairs in stripe-ordered La${}_{2-x}$Ba${}_x$CuO${}_4$ ($x=1/8$): evidence from the resistivity measurements
• Random Magnetic Field and the Dirac Fermi Surface