2010/07/31 by B. A. Friedman, B A Friedman, G. C. Levine +3 · 7 citations
Physics and Astronomy · #Coulomb #Density matrix renormalization group #Entropy (arrow of time) #Joint quantum entropy #Quantum and electron transport phenomena #Quantum discord #Quantum entanglement #Quantum many-body systems #Renormalization group #Topological Materials and Phenomena #Topological entropy in physics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1088/1367-2630/13/5/055006
published in New Journal of Physics 13(5), 055006 (IOP Publishing) · 29 pages, 16 figures; fixed figures and figure captions; revised fluctuation calculations
arxiv created 2011/01/28 · openalex publication_date 2011/05/19 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The entanglement entropy of the ν=1/3 and ν=5/2 quantum Hall states in the presence of short-range random disorder has been calculated using direct diagonalization. A microscopic model of electron–electron interaction is used and spin-polarized electrons are confined to a single Landau level and interact with long-range Coulomb interaction. In the case of very weak disorder, the values of topological entanglement entropy are roughly consistent with the expected theoretical results. By considering a broad range of disorder strengths, entanglement entropy was studied in an effort to detect quantum phase transitions. In particular, there is a signature of the transition as the function of the disorder strength for the ν=5/2 state. Prospects of using the density matrix renormalization group to compute the entanglement entropy for larger system sizes are discussed.