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A controlled expansion for certain non-Fermi liquid metals
The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts
Cooper pairing in non-Fermi liquids
States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include (i) quantum critical points associated with the onset of
Theory of Disorder-Induced Half-Integer Thermal Hall Conductance.
TLDR
The thermal Hall conductance in the half-filled first Landau level was recently measured to take the quantized noninteger value κ_{xy}=5/2, which indicates a non-Abelian phase of matter, which could even emerge from a system comprised of microscopic Abelian puddles.
Symmetry and duality in bosonization of two-dimensional Dirac fermions
Recent work on a family of boson-fermion mappings has emphasized the interplay of symmetry and duality: Phases related by a particle-vortex duality of bosons (fermions) are related by time-reversal
Explicit Derivation of Duality between a Free Dirac Cone and Quantum Electrodynamics in (2+1) Dimensions.
TLDR
The duality between a free electronic Dirac cone and quantum electrodynamics in (2+1) dimensions (QED_{3}) with N=1 fermion flavors is derived via an exact, nonlocal mapping from electrons to dual fermions with long-range interactions encoded by an emergent gauge field.
Are non-Fermi-liquids stable to Cooper pairing?
States of matter with a sharp Fermi-surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include: (i) quantum critical points associated with the onset of
Charge Friedel oscillations in a Mott insulator
When a metal undergoes a transition to an insulator it will lose its electronic Fermi surface. Interestingly in some situations a `ghost' Fermi surface of electrically neutral spin carrying fermions
Composite Dirac liquids: parent states for symmetric surface topological order
We introduce exotic gapless states---`composite Dirac liquids'---that can appear at a strongly interacting surface of a three-dimensional electronic topological insulator. Composite Dirac liquids
Anomalous Quasiparticle Symmetries and Non-Abelian Defects on Symmetrically Gapped Surfaces of Weak Topological Insulators.
We show that boundaries of 3D weak topological insulators can become gapped by strong interactions while preserving all symmetries, leading to Abelian surface topological order. The anomalous nature
Stripe melting and quantum criticality in correlated metals
We study theoretically quantum melting transitions of stripe order in a metallic environment, and the associated reconstruction of the electronic Fermi surface. We show that such quantum phase
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