pres splds 2012

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Electron – hole instabilities in TiSe 2 Gaël Monney University of Fribourg, Switzerland

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Page 1: Pres splds 2012

Electron – holeinstabilities in TiSe2

Gaël MonneyUniversity of Fribourg, Switzerland

Page 2: Pres splds 2012

Our group & collaborators

Electron spectroscopy group in Fribourg• Clément Didiot, Zuzana Vydrova,

Nicolas Mariotti (Gunnar Garnier, Eike Schwier)

• Philipp Aebi Collaborations• Hans Beck, Univ. of Neuchâtel• Claude Monney, PSI, Switzerland• H. Berger, EPFL

1

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Part 1 :

The context

Page 4: Pres splds 2012

Charge density waves (CDW) Peierls transitions (electron signature)

2

Page 5: Pres splds 2012

Charge density waves (CDW) Kohn anomaly (phonon signature)

3

Page 6: Pres splds 2012

CDW : driving forces Fermi Surface Nesting

Jahn-Teller effect

Excitons

4

Page 7: Pres splds 2012

TiSe2 properties

Reciprocal space

Real space

TiSe

Di S

alvo

et a

l., P

RB,

1976

5

Page 8: Pres splds 2012

Part 2 :

Experiments

Page 9: Pres splds 2012

Electronic signatures (by ARPES)

6

Page 10: Pres splds 2012

Other measurements 7

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Part 3 :

The models

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Exciton BCS model ( )

Hamiltonian

Green’s functions

Anomalous Green’s functions

Order parameter

8

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Exciton BCS model ( )

9

Previous model : Hervé Cercellier et al., PRL, 2007

Page 14: Pres splds 2012

Electron – hole fluctuations ( ) The model

Definitions

Electron-hole susceptibility

Bethe-Salpeter equation

10

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Electron – hole fluctuations The physics

11

Page 16: Pres splds 2012

Part 4 :

The results

Page 17: Pres splds 2012

Crossings vs. nesting 12

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Electron renormalization Comparison

13

Page 19: Pres splds 2012

Phonon renormalization 14

Page 20: Pres splds 2012

Part 5 :

Outlook

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Chirality 15

Page 22: Pres splds 2012

Thanks

Page 23: Pres splds 2012

Part I : CDWs

Part 2 : Experiments

Part 3 : Models

Part 4 : Results