Algebraic charge liquids and the underdoped cuprates

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Algebraic charge liquids and the underdoped
cuprates
T. Senthil (MIT)
Ribhu Kaul (Harvard) Yong Baek Kim
(Toronto) Subir Sachdev (Harvard)
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Plan of talk

• Motivation
• 2. Algebraic charge liquids in doped Mott
  insulators
• Application to underdoped cuprates some
  successes and problems
• Fixing the problems?
• Lessons and questions

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Cuprate materials Some indisputable basic facts
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Superconductor is gapless
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Gapless excitations Bogoliubov quasiparticles?
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A theoretical project
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A theoretical project
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Doping an antiferromagnetic Mott insulator Low
doping
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Losing the Neel order
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Lessons from insulating quantum magnets
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Deconfined quantum criticality-I
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Doping the deconfined critical point-I
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Doping the deconfined critical point-II
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The holon metal
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The holon metal Physical properties-I
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The holon metal Physical properties-II
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Superconductivity from the holon metal
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Mean field theory for the superconductor
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Gauge fluctuations QED_3 theory
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Gapless holon superconductor
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Properties of the holon superconductor-ISuperflui
d density at T 0
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Properties of the holon superconductor-IIFinite
T superfluid density
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Comparison to cuprate superconductors
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Fixing the problem?
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Holon-hole metal
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Summary

• New route from antiferromagnetic Mott insulator
  to gapless d-wave SC based on algebraic charge
  liquids
• Holon metal spin gap and a charge fermi surface
  gt sharp fermi surface in quantum oscillations
  but none in ARPES.
• Holon superconductor Scale invariant excitation
  spectrum with interesting behavior of superfluid
  density
• Application to cuprates Must solve problem of
  hard spin gap
• (holon-hole metal and descendant superconductor?)

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Lessons/questions

• Quantum oscillations do not necessarily imply a
  Landau Fermi liquid (examples composite Fermi
  liquid in a half-filled Landau level, holon
  metals,)
• Fermi arcs in ARPES perhaps not incompatible with
  quantum oscillations in a non-fermi liquid state?
• Are nodal excitations in the underdoped cuprate
  SC truly electron like quasiparticles with T3
  scattering rate?
• Are the underdoped cuprate SC smoothly connected
  to a regular d-wave BCS?

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General suggestions/questions-I
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General suggestions/questions-II
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General suggestions/questions-II