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.
Polchinski, Effective Field Theory and the Fermi Sur- face (1999), arXiv:hep-th/9210046
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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.
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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.
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.
citing papers explorer
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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.
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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.
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Plasmons in Holographic Ersatz Fermi Liquids
Holographic model of non-Fermi liquid produces damped plasmon whose plasma frequency scales according to Luttinger's theorem.
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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.
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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.