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.
Luttinger's Theorem and Bosonization of the Fermi Surface
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
A course of four lectures given at the International School of Physics "Enrico Fermi", Varenna, Italy, July 1992, in which the underlying algebraic structure needed for bosonization of the Fermi surface in two- or three-dimensions was first described. This is an unchanged 1993 preprint version of a published but hard-to-find (and often mis-cited) 1994 article in the Varenna Summer School proceedings. The d > 1 dimensional generalization of the Kac-Moody algebra on the Fermi surface is presented, and the Gaussian reduction of the Fermi liquid to harmonic oscilator modes is derived. One-dimensional bosonization and the symmetries of spin-charge separation are also reviewed.
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Composite 2Ne superconducting and 2NkF density-wave susceptibilities are shown to dominate over conventional instabilities at strong forward-scattering coupling in a D-dimensional Fermi liquid.
Non-Fermi liquids from critical fluctuations are grouped into seven superuniversality classes by the topology of projective fixed-point bundles, which fix universal pairing strengths and set lower bounds on superconducting transition temperatures and symmetries.
Proposes investigating many-body quantum effects in quantum turbulence using low-dimensional boson systems near the superfluid-insulator transition.
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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Instabilities of Fermi Liquids with Arbitrary Forward Scattering: Exact Approach
Composite 2Ne superconducting and 2NkF density-wave susceptibilities are shown to dominate over conventional instabilities at strong forward-scattering coupling in a D-dimensional Fermi liquid.
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Classification of non-Fermi liquids and universal superconducting fluctuations
Non-Fermi liquids from critical fluctuations are grouped into seven superuniversality classes by the topology of projective fixed-point bundles, which fix universal pairing strengths and set lower bounds on superconducting transition temperatures and symmetries.
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Quantum turbulence in the many-body regime
Proposes investigating many-body quantum effects in quantum turbulence using low-dimensional boson systems near the superfluid-insulator transition.