Dresden 2020 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 9: Many-body Systems: Equilibration, Chaos and Localization I (joint session DY/TT)

TT 9.10: Talk

Monday, March 16, 2020, 12:30–12:45, HÜL 186

Entanglement Negativity at Localization Transition — •Gergö Roosz¹, Robert Juhasz², and Zoltan Zimboras² — ¹TU Dresden — ²Wigner RCP

We study the entanglement negativity and entanglement entropy asymptotic at the localization transition of the quasi-periodic Harper model. In the delocalized phase the scaling is identical with the scaling of the homogeneous system S ∼ 1/3 lnl and E ∼ 1/4lnl. In the critical point the scaling is different, S ∼ c/3 lnL and E ∼ c/4lnL, with c ≈ 0.78 In the localized phase the length scale is set by the localization length l_loc and we find S ∼ c/3 lnl_loc and E ∼ c/4lnl_loc. Unlike the random and aperiodic singlet phases, where the ratio of the entanglement entropy and negativity prefactor is 2, in the Harper model this ratio is identical with the homogeneous case, 3/4.