Conformal Field Theory on the Fermi Surface

Abstract

The Fermi surface may be usefully viewed as a collection of 1+1 dimensional chiral conformal field theories. This approach permits straightforward calculation of many anomalous ground state properties of the Fermi gas including entanglement entropy and number fluctuations. The 1+1 dimensional picture also generalizes to finite temperature and the presence of interactions. Finally, I argue that the low energy entanglement structure of Fermi liquid theory is universal, depending only on the geometry of the interacting Fermi surface.

4 pages + references, 2 figures

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• Entanglement negativity in two-dimensional free lattice models
• Finite-temperature entanglement negativity of free fermions
• Holographic thermalization with Lifshitz scaling and hyperscaling violation
• The Pauli exclusion principle at strong coupling: Holographic matter and momentum space
• Entanglement entropy of the $\nu =1/2$ composite fermion non-Fermi liquid state
• Schrödinger Holography with and without Hyperscaling Violation
• Scaling of entanglement entropy in the (branching) multi-scale entanglement renormalization ansatz
• Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
• Aspects of Current Correlators in Holographic Theories with Hyperscaling Violation
• Entangled Dilaton Dyons
• Eigenstate entanglement: Crossover from the ground state to volume laws
• The negativity contour: a quasi-local measure of entanglement for mixed states
• Area Law for Gapless States from Local Entanglement Thermodynamics
• Oscillating terms in the Renyi entropy of Fermi liquids
• Capacity of entanglement and distribution of density matrix eigenvalues in gapless systems
• Entanglement entropy of composite Fermi liquid states on the lattice: In support of the Widom formula
• Disentangling quantum matter with measurements
• Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature
• Entanglement of skeletal regions
• On Holographic Entanglement Density
• Entanglement Entropy of Fermions from Wigner Functions: Excited States and Open Quantum Systems
• Entanglement entropy of compressible holographic matter: loop corrections from bulk fermions
• Renyi Entropy of Interacting Thermal Bosons in Large $N$ Approximation
• Entanglement sum rules in exactly solvable models
• Structured volume-law entanglement in an interacting, monitored Majorana spin liquid
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Entanglement entropies and fermion signs of critical metals
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• Entanglement scaling and charge fluctuations in a Fermi liquid of composite fermions
• Scaling of Entanglement Entropy in Point Contact Free Fermion Systems
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Universal entanglement signatures of quantum liquids as a guide to fermionic criticality
• Entanglement and Excitations in Gauge/Gravity Duality