A noncompact Lie group symmetry generated by U(1) fermion number and Majorana translations enforces Fermi surfaces that generically have at least two noncontractible components in d-dimensional Bravais lattices.
Effective Field Theory and the Fermi Surface
9 Pith papers cite this work. Polarity classification is still indexing.
9
Pith papers citing it
abstract
This is an introduction to the method of effective field theory. As an application, I derive the effective field theory of low energy excitations in a conductor, the Landau theory of Fermi liquids, and explain why the high-$T_c$ superconductors must be described by a different effective field theory.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
Symmetry and conservation laws alone yield nonlinear fluctuating hydrodynamics equations whose sound and heat modes both flow to a KPZ fixed point with dynamical exponent 3/2, confirmed by simulations matching the Prahofer-Spohn function.
The Coherence Principle supplies a falsifiable prior for Bayesian model selection by converting compatibility with a theory's validated grammar into prior weights via a maximum-entropy exponential controlled by one parameter.
A reduced-dimension model places bosons in (d+1) dimensions and fermions in d dimensions to make perturbative RG analysis of NFL physics more tractable by taming logarithmic and higher divergences.
Holographic model of non-Fermi liquid produces damped plasmon whose plasma frequency scales according to Luttinger's theorem.
Kohn-Sham eigenvalues equal quasiparticle bands up to a frozen-core renormalization z_core derived from effective field theory, resolving the long-standing ARPES bandwidth discrepancy in metals.
At large chemical potential the Gross-Neveu model enters a crystalline phase in which a-particle bound states condense, producing a periodically oscillating chiral condensate governed by two new scales Λ_n and Λ_c that replace the usual Λ.
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.
citing papers explorer
-
Symmetry-Enforced Fermi Surfaces
A noncompact Lie group symmetry generated by U(1) fermion number and Majorana translations enforces Fermi surfaces that generically have at least two noncontractible components in d-dimensional Bravais lattices.
-
Symmetry-based nonlinear fluctuating hydrodynamics in one dimension
Symmetry and conservation laws alone yield nonlinear fluctuating hydrodynamics equations whose sound and heat modes both flow to a KPZ fixed point with dynamical exponent 3/2, confirmed by simulations matching the Prahofer-Spohn function.
-
The Coherence Principle: A Falsifiable Prior for Model Selection from the Grammar of Theories
The Coherence Principle supplies a falsifiable prior for Bayesian model selection by converting compatibility with a theory's validated grammar into prior weights via a maximum-entropy exponential controlled by one parameter.
-
Reduce dimensional quantum criticality for Non-Fermi liquids
A reduced-dimension model places bosons in (d+1) dimensions and fermions in d dimensions to make perturbative RG analysis of NFL physics more tractable by taming logarithmic and higher divergences.
-
Plasmons in Holographic Ersatz Fermi Liquids
Holographic model of non-Fermi liquid produces damped plasmon whose plasma frequency scales according to Luttinger's theorem.
-
Kohn-Sham Hamiltonian from Effective Field Theory: Quasiparticle Band Narrowing from Frozen Core Dynamics
Kohn-Sham eigenvalues equal quasiparticle bands up to a frozen-core renormalization z_core derived from effective field theory, resolving the long-standing ARPES bandwidth discrepancy in metals.
-
Perturbative, Nonperturbative and Exact Aspects of Crystalline Phases in the Gross-Neveu Model
At large chemical potential the Gross-Neveu model enters a crystalline phase in which a-particle bound states condense, producing a periodically oscillating chiral condensate governed by two new scales Λ_n and Λ_c that replace the usual Λ.
-
Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
-
Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.