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Momentum Entanglement in 1D Disordered Fermions: Extended States and Transitions

Explore the spatial and momentum entanglement of 1D disordered fermions to reveal extended states and metal-insulator transitions. Dive into lattice models with correlated disorder like random dimers and trimers to find evidence of such transitions. This study uncovers the suppression of momentum entanglement in models that impede left-right mover scattering.

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Momentum Entanglement in 1D Disordered Fermions: Extended States and Transitions

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  1. 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: Objective To reveal extended states and metal-insulator transitions in 1D disordered systems using momentum entanglement Evidence of extended states Example model for study • Lattice models with correlated disorder [1]: • Random dimers • Random trimers Evidence of metal-insulator transition • Key properties of these models: • Finite fraction of extended states at resonant energies • Extended states disappear at strong enough disorder Entanglement measure So, does this happen in other systems? The important underlying feature: A 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. B 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)

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