Introduction

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www.postersession.com Introduction Objective To reveal extended states and metal-insulator transitions in 1D disordered systems using momentum entanglement Spatial entanglement presents some vague signatures: Example model for study Lattice models with correlated disorder [1]: •Random dimers •Random trimers Key properties of these models: • Finite fraction of extended states at resonant energies •Extended states disappear at strong enough disorder Momentum entanglement reveals the key properties sharply: Entanglement measure Momentum entanglement of 1D disordered fermions Ian Mondragon-Shem, Mayukh Khan and Taylor Hughes Department of Physics, University of Illinois, Urbana-Champaign The important underlying feature: Evidence of extended states Evidence of metal-insulator transition Conclusion Models which suppress left-right- mover scattering leads to momentum entanglement suppression, and helps to reveal extended states and metal- insulator transitions in one dimension. References [1] D. H. Dunlap, H.-L.Wu, and P. W. Phillips, Phys. Rev. Lett. 65, 88 (1990) [2] I. Peschel, Journal of Physics A Mathematical General 36, L205 (Apr. 2003) A B So, does this happen in other systems?

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Momentum entanglement of 1D disordered fermions Ian Mondragon-Shem, Mayukh Khan and Taylor Hughes Department of Physics, University of Illinois, Urbana-Champaign. Spatial entanglement presents some vague signatures:. Introduction. Momentum entanglement reveals the key properties sharply:. - PowerPoint PPT Presentation

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IntroductionObjective To reveal extended states and metal-insulator transitions in 1D disordered

systems using momentum entanglement

Spatial entanglement presents some vague

signatures:

Example model for study

Lattice models with correlated disorder [1]:

•Random dimers

•Random trimers

Key properties of these models: • Finite fraction of extended states at resonant energies

•Extended states disappear at strong enough disorder

Momentum entanglement reveals the key properties sharply:

Entanglement measure

Momentum entanglement of 1D disordered fermionsIan Mondragon-Shem, Mayukh Khan and Taylor Hughes

Department of Physics, University of Illinois, Urbana-Champaign

The important underlying feature:

Evidence of extended states

Evidence of metal-insulator transition

Conclusion Models which suppress left-right-mover scattering

leads to momentum entanglement suppression, and helps to reveal extended states and metal-insulator

transitions in one dimension.

References[1] D. H. Dunlap, H.-L.Wu, and P. W. Phillips, Phys. Rev. Lett. 65, 88 (1990)

[2] I. Peschel, Journal of Physics A Mathematical General 36, L205 (Apr. 2003)

AB

So, does this happen in other systems?

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