Journal
EPL
Volume 112, Issue 4, Pages -Publisher
EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
DOI: 10.1209/0295-5075/112/46003
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Using exact diagonalization for non-interacting systems and density matrix renormalization group for interacting systems we show that Li and Haldane's conjecture on the correspondence between the low-lying many-particle excitation spectrum and the entanglement spectrum holds for disordered ballistic one-dimensional many-particle systems. In order to demonstrate the correspondence we develop a computationally efficient way to calculate the entanglement spectrum of low-lying excitation of non-interacting systems. We observe and explain the presence of an unexpected shell structure in the excitation spectrum. The low-lying shells are robust and survive even for strong electron-electron interactions. Copyright (C) EPLA, 2015
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