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Physics of the underdoped cuprates: Phenomenological ...web.mit.edu/~senthil/www/osu0709.pdf ·...

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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 Friday, December 9, 2011
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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

Friday, December 9, 2011

Cuprate phase diagram

T

x

dSc

Pseudogap

AF Mottinsulator

``Nernst” region

T*

Friday, December 9, 2011

Some important phenomena

Friday, December 9, 2011

Pseudogap state in ARPES

Friday, December 9, 2011

Gapless Fermi arcs

Friday, December 9, 2011

Electron coherence crossover

Friday, December 9, 2011

Field induced incommensurate magnetism

Friday, December 9, 2011

Some important phenomena

Friday, December 9, 2011

New mystery: quantum oscillations in a magnetic field at low T

Friday, December 9, 2011

? Electron pockets ?

Friday, December 9, 2011

How do all this fit together?

Friday, December 9, 2011

How to fit together?

Friday, December 9, 2011

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.

Friday, December 9, 2011

Ong `high’ field phase diagram

Friday, December 9, 2011

Key assumption: Electron coherence in a field

Friday, December 9, 2011

Low T, high H: emergence of large Fermi surface

Friday, December 9, 2011

Quasiparticle Hamiltonian

Friday, December 9, 2011

Model of a vortex liquid

Friday, December 9, 2011

Electronic structure of the vortex liquid

Friday, December 9, 2011

Approximate self-energy

Friday, December 9, 2011

Friday, December 9, 2011

Effect of magnetic field

Friday, December 9, 2011

Picture at low T, high H

Friday, December 9, 2011

Physics across Tc

Friday, December 9, 2011

Modeling single particle incoherence

Friday, December 9, 2011

Pseudogap and Fermi arcs

Friday, December 9, 2011

Pseudogap and Fermi arcs

Friday, December 9, 2011

Summary of part 1

Friday, December 9, 2011

Part 2: A microscopic theory

Friday, December 9, 2011

``Standard” slave boson RVB theory of doped Mott insulator

Friday, December 9, 2011

True coherence scale: Anderson is different

Friday, December 9, 2011

True coherence scale: Anderson is different

Friday, December 9, 2011

Modified slave boson gauge theory

Friday, December 9, 2011

Underdoped: theory of a pseudogap state

Friday, December 9, 2011

Problems with the theory

Friday, December 9, 2011

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.

Friday, December 9, 2011


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