Pith. sign in

REVIEW 7 cited by

Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv cond-mat/0002392 v1 pith:TFUP7JIQ submitted 2000-02-25 cond-mat.str-el cond-mat.stat-mech

classification cond-mat.str-elcond-mat.stat-mech
keywords fermikondolatticeluttingertheoremtopologicalapplicationapproach
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

A non-perturbative proof of Luttinger's theorem, based on a topological argument, is given for Fermi liquids in arbitrary dimensions. Application to the Kondo lattice shows that even the completely localized spins do contribute to the Fermi sea volume as electrons, whenever the system can be described as a Fermi liquid.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum criticality at strong randomness: a lesson from anomaly

    cond-mat.dis-nn 2026-02 conditional novelty 6.0 of 10

    Anomaly constraints imply power-law decay of specific Edwards–Anderson and first-moment correlators in disordered quantum critical systems with average symmetries.

  2. Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking

    cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

    A large-N model of a Fermi-volume-changing transition without symmetry breaking predicts a skewed marginal Fermi liquid with large asymmetric thermopower, matching CeRhIn5 and Nd-LSCO data.

  3. Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions

    hep-th 2026-01 unverdicted novelty 5.0 of 10

    Staggered fermions in 2+1d show modulo 8 parity/time-reversal anomalies that match between lattice and continuum when placed on tori and Klein bottles via a nontrivial symmetry map.

  4. Anomalous Continuous Translations

    cond-mat.str-el 2024-12 accept novelty 5.0 of 10

    Continuous translations are broken by an ABJ-like anomaly to a discrete non-Abelian symmetry in a broad class of non-relativistic continuum field theories.

  5. Lectures on insulating and conducting quantum spin liquids

    cond-mat.str-el 2025-12 unverdicted novelty 3.0 of 10

    The notes argue that the FL* state — small pockets plus a quantized spin-liquid anomaly — resolves the ADMR pocket and v_F >> v_Delta problems that defeated holon-metal and plain fermionic-parton theories of the cuprates.

  6. Fractionalized Fermi liquids and the cuprate phase diagram

    cond-mat.str-el 2025-08 unverdicted novelty 3.0 of 10

    Reviews the FL* theory for cuprates using ancilla layer models and SU(2) gauge theories to explain pseudogap hole pockets of area p/8, Fermi arcs, and transitions to d-wave superconductivity and Fermi liquid behavior.

  7. To Break or Not to Break: A Review of a No-Go Theorem on Chiral Symmetry Breaking in QCD-like Theories

    hep-ph 2025-09 conditional novelty 2.0 of 10

    A review showing that if a QCD-like theory with enough massless flavors is fully color-screened in the infrared, then chiral symmetry must be spontaneously broken.

Pith tools