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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
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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.
But some difficulties with experiments persist.
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