Angle dependent quasiparticle weight in heavy fermion metals

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Angle dependent quasiparticle weight in heavy
fermion metals

• T. Senthil (MIT)
• Pouyan Ghaemi (MIT)
• Thanks P. Coleman (Rutgers)

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Momentum space anisotropy in the cuprate metals

• Normal state of cuprates a non-fermi liquid
  metal
• Differences between different parts of a nominal
  Fermi surface

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Strongly correlated metals

• Many examples
• Normal state of cuprates
• Heavy electron metal in rare earth intermetallics
• Metals near the Mott transition (eg organics)
• Fermi liquid theory often but not always fails.

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Broad questions

• Is correlation induced momentum space anisotropy
  common in correlated metals?
• How to incorporate correlation effects into a
  Fermi surface?
• 1-band Hubbard model Interesting cluster DMFT
  calculations

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Related simpler question

• Momentum dependence of correlation effects in a
• Fermi liquid metal??
• This talk focus on heavy fermi liquid metals
• Simple and general reasoning strong momentum
  dependence of quasiparticle spectral weight

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Heavy electron metal A strongly correlated
Fermi liquid

• Weakly correlated conduction band coupled to
  correlated f-band.
• Large effective mass
• Small quasiparticle residue
• Large Fermi surface localized f-moments
  dissolve into Fermi sea by Kondo singlet
  formation.

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Simplified Anderson lattice model for heavy
fermi liquids
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Strong correlations Kondo lattice
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Slave particle formulation of Kondo lattice
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Hybridization mean field theory
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Band structure
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Momentum distribution
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Comments
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Real heavy fermi liquids Kondo singlets with
internal structure
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Higher angular momentum Kondo liquids
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Illustrate Kondo lattice model for a cubic
Ce-based heavy fermi liquid
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Kondo lattice model for a cubic Ce-based heavy
fermi liquid (contd)
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Mean field theory angle dependent hybridization
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Fermi surface structure
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Angle dependence of c-character
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Momentum distribution
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Photoemission theory for Kondo lattices
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Angle dependent quasiparticle weight
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Z on the Fermi surface
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Apparent open Fermi patches in ARPES
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Tunneling?
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Similar in cuprates?
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Similar in cuprates?
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• Could the pseudogap phase actually have a
  LARGE Fermi surface with strongly angle dependent
  low energy electron spectral weight?

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• Could the pseudogap phase actually have a
  LARGE Fermi surface with strongly angle dependent
  low energy electron spectral weight?

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Summary
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Summary (contd)