Fermi liquids vs non-Fermi liquids

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Fermi liquids vs non-Fermi liquids

description

Fermi liquids vs non-Fermi liquids. Canonical behavior of the specific heat. W. H. Lien and N. E. Phillips, Phys. Rev. 118, 958 (1960). Less canonical behavior of C(T)—notice a pronounced . Such a term, however, is still within the Fermi-liquid theory. - PowerPoint PPT Presentation

Transcript of Fermi liquids vs non-Fermi liquids

Page 1: Fermi liquids  vs  non-Fermi liquids

Fermi liquids vs non-Fermi liquids

Page 2: Fermi liquids  vs  non-Fermi liquids

W. H. Lien and N. E. Phillips, Phys. Rev. 118, 958 (1960)

Canonical behavior of the specific heat

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Less canonical behavior of C(T)—notice a pronounced 3 lnT TSuch a term, however, is still within the Fermi-liquid theory.

G. Stewart, Rev. Mod. Phys. 56, 755 (1984)

Page 4: Fermi liquids  vs  non-Fermi liquids

FL metals

ρ ∝T : phonons above the Debye temperature

Classical bosons: N ph ~Tω

ρ =AT 2

FL{ + CT 5

phononsbelow TD

{

ρ =const: defects

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Unconventional (“bad”, “strange”, “strongly correlated”, “non-FL”) metals

Sr2RuO4

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C. Proust et al. PRL 89, 147003 (2002)

Anomalous linear-in-T scaling of the resistivity in high-Tc cuprated

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The most prominent “collo lungo” symptom: linear scaling of the resistivity

1τ=α

kBTh

; α ≈1

Bruin et al. Science 339, 804 (2013)

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One possible sources of the symptom: Quantum Critical Point

control parameterQuantum Critical point

FMPM

T

Simplest case: Pomeranchuk (q=0) critical point between a “paramagnet” anda uniformly ordered phase

Nicklas et al. ‘99