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Critical fermi surfaces and nonfermi liquid metals

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Critical fermi surfaces and non-fermi liquid metals. T. Senthil (MIT) ... (Quantum) critical point with striking non-fermi liquid physics ... – PowerPoint PPT presentation

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Title: Critical fermi surfaces and nonfermi liquid metals


1
Critical fermi surfaces and non-fermi liquid
metals
  • T. Senthil (MIT)
  • TS, Critical fermi surfaces and non-fermi
    liquid metals, PRB (to appear), arXiv
    08034009,
  • Theory of a continuous Mott transition in two
    dimensions, arXiv 0804.1555
  • Precursor TS, Annals of Physics, 06

2
Killing a Fermi surface
3
Example I Heavy electron critical points
(Quantum) critical point with striking non-fermi
liquid physics
  • The Fermi surface may reconstruct dramatically
    across the quantum critical point due to loss of
    Kondo screening.

4
dHvA in CeRhIn5CeRhIn5
H. Shishido, R. Settai, H. Harima, Y. Onuki,
JPSJ 74, 1103 (2005)
5
Simpler example Mott transition of one band
systems
6
Example III HiTc underlying normal metallic
ground state ?
7
Possible evolutions of Fermi surface with doping
at T 0
8
How might a Fermi surface disappear?
9
Electronic structure at criticality Critical
Fermi surface
10
Why a critical Fermi surface?
11
Evolution of single particle gap
12
Killing a Fermi surface
13
Some obvious consequences/questions
14
Critical Fermi surface scaling for single
particle physics
15
New possibility angle dependent exponents
16
Leaving the critical point
17
Approach from the Fermi liquid
18
Specific heat singularity
19
Critical 2Kf surface
20
Implications of angle dependent exponents
21
Finite T crossovers
22
Tentative application to proposed hiTc critical
point
23
Model calculations
  • Only currently existing framework for
    calculations seems to be a slave particle theory.
  • Examples
  • Kondo breakdown model for Kondo lattices
  • Theory of a continuous Mott transition in two
    dimensions

24
Model calculations for the Mott transition
25
Slave rotor formulation of Mott transition
26
(No Transcript)
27
Critical Fermi surface at Mott criticality
28
Approach from Fermi liquid
29
Critical thermodynamics/transport
30
Universal resistivity jump
31
Crossover out of criticality Anderson is
different (from Higgs)
32
Finite T crossovers Marginal Fermi liquids
33
Summary-I
  • At some metallic quantum critical points there
  • will be an entire surface of critical fermionic
    modes
  • a critical Fermi surface.
  • Presence of critical fermi surface will change
    the scaling phenomena associated with universal
    critical singularities.
  • Scaling hypotheses for single particle and
    thermodynamic quantities presence of critical
    2Kf surfaces,……
  • Possibility of angle dependent exponents with
    interesting consequences (eg metals with
    T-dependent Fermi arcs at intermediate
    temperature)

34
Summary-II
  • Concrete theory of a continuous Mott transition
    in two dimensions
  • - demonstrate critical Fermi surface
  • - predict universal resistivity jump, emergence
    of marginal Fermi liquids
  • Other results Stability of two dimensional
    Luttinger liquid phases of electrons (TS,
    unpublished)
  • Future Lots of challenges !

35
Why a critical Fermi surface? Evolution of
momentum distribution
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