Floating topological phases

Abstract

While quasi-two-dimensional (layered) materials can be highly anisotropic, their asymptotic long-distance behavior generally reflects the properties of a fully three dimensional phase of matter. However, certain topologically ordered quantum phases with an emergent 2+1 dimensional gauge symmetry can be asymptotically impervious to interplane couplings. We discuss the stability of such "floating topological phases", as well as their diagnosis by means of a non-local order parameter. Such a phase can produce a divergent ratio ${\rho }_{\perp }/{\rho }_{\parallel }$ of the inter-layer to intra-layer resistivity as $T\to 0$, even in an insulator where both ${\rho }_{\perp }$ and ${\rho }_{\parallel }$ individually diverge. Experimental observation of such a divergence would constitute proof of the existence of a topological (e.g. spin liquid) phase.

arXiv comment15 pages

References in corpus (68)

• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Renormalization Group Approach to Interacting Fermions
• Quantum Glassiness
• Fractons
• Helical Metal Inside a Topological Band Insulator
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
• Topological quantum order: stability under local perturbations
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Fracton Phases of Matter
• On the low energy properies of fermions with singular interactions
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Superconductors are topologically ordered
• On the stability of U(1) spin liquids in two dimensions
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Are non-Fermi-liquids stable to Cooper pairing?
• Genons, twist defects, and projective non-Abelian braiding statistics
• Exotic topological order in fractal spin liquids
• Non-Fermi Liquid Fixed Point in 2+1 Dimensions
• A Class of $P,T$-Invariant Topological Phases of Interacting Electrons
• Quantum Theory of the Smectic Metal State in Stripe Phases
• Quantum Field Theory of X-Cube Fracton Topological Order and Robust Degeneracy from Geometry
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Phonons become chiral in the pseudogap phase of cuprates
• Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
• Phonon thermal Hall effect in strontium titanate
• Fractionalization, topological order, and cuprate superconductivity
• Fractionalization in the cuprates: Detecting the topological order
• Chiral Surface States in the Bulk Quantum Hall Effect
• Sliding Luttinger liquid phases
• Disorder in a quantum spin liquid: flux binding and local moment formation
• Algebraic charge liquids
• A theory of 2+1D fermionic topological orders and fermionic/bosonic topological orders with symmetries
• Algebraic spin liquid in an exactly solvable spin model
• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Sliding Phases in XY-Models, Crystals, and Cationic Lipid-DNA Complexes
• Fractional excitations in foliated fracton phases
• Orthogonal Metals: The simplest non-Fermi liquids
• Sliding Columnar Phase of DNA-Lipid Complexes
• Metallic quantum critical points with finite BCS couplings
• Sliding Phases via Magnetic Fields
• A $\Gamma$-matrix generalization of the Kitaev model
• Anomalous dynamical scaling from nematic and U(1)-gauge field fluctuations in two dimensional metals
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• Diagnosing Deconfinement and Topological Order
• Spectral signatures of modulated d-wave superconducting phases
• Twisted foliated fracton phases
• Power-law Conductivity inside the Mott gap: application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Anomalous dimensions of scalar operators in $QE{D}_3$
• Enhanced thermal Hall effect in the square-lattice Néel state
• Strong planar subsystem symmetry-protected topological phases and their dual fracton orders
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Gapless layered three-dimensional fractional quantum Hall states
• Gapless Spin Liquids: Stability and Possible Experimental Relevance
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Gauge Theories with a Layered Phase
• SU(2)-invariant Majorana spin liquid with stable parton Fermi surfaces in an exactly solvable model
• The fractional quantum Hall effect in infinite layer systems
• Floating phase in a dissipative Josephson junction array
• Signatures of fractionalization in spin liquids from interlayer thermal transport
• Dimensional decoupling at continuous quantum critical Mott transitions
• The nature and boundary of the floating phase in a dissipative Josephson junction array
• Notes on Infinite Layer Quantum Hall Systems
• Almost Perfect Metals in One Dimension
• No sliding in time

Cited by in corpus (1)

• Converting electrons into emergent fermions at a superconductor-Kitaev spin liquid interface