Physics of the underdoped cuprates: Phenomenological synthesis and a microscopic theory T. Senthil (MIT) 1. T. Senthil and P.A. Lee, PRB 09 2. T. Senthil and P.A. Lee, PRL (to appear), arxiv Friday, December 9, 2011
Transcript
Physics of the underdoped cuprates: Phenomenological synthesis and a microscopic theory
T. Senthil (MIT)
1. T. Senthil and P.A. Lee, PRB 09
2. T. Senthil and P.A. Lee, PRL (to appear), arxiv
Friday, December 9, 2011
Cuprate phase diagram
T
x
dSc
Pseudogap
AF Mottinsulator
``Nernst” region
T*
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Some important phenomena
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Pseudogap state in ARPES
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Gapless Fermi arcs
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Electron coherence crossover
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Field induced incommensurate magnetism
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Some important phenomena
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New mystery: quantum oscillations in a magnetic field at low T
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? Electron pockets ?
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How do all this fit together?
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How to fit together?
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Plan of this talk
1. A synthesis of the phenomenology- a coherent picture to reconcile ARPES, Nernst/
magnetization with quantum oscillations.
2. A microscopic theory accessing key aspects of overall picture.
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Ong `high’ field phase diagram
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Key assumption: Electron coherence in a field
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Low T, high H: emergence of large Fermi surface
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Quasiparticle Hamiltonian
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Model of a vortex liquid
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Electronic structure of the vortex liquid
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Approximate self-energy
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Effect of magnetic field
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Picture at low T, high H
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Physics across Tc
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Modeling single particle incoherence
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Pseudogap and Fermi arcs
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Pseudogap and Fermi arcs
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Summary of part 1
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Part 2: A microscopic theory
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``Standard” slave boson RVB theory of doped Mott insulator
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True coherence scale: Anderson is different
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True coherence scale: Anderson is different
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Modified slave boson gauge theory
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Underdoped: theory of a pseudogap state
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Problems with the theory
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Summary: Part II
New non-fermi liquid regimes overlooked in standard slave boson gauge theory: updated phase diagram
Interesting description of a candidate strange metal and a descendant pseudogap state with gapless Fermi arcs.