SKM 2023 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
TT: Fachverband Tiefe Temperaturen
TT 31: Topology: Majorana Physics
TT 31.3: Vortrag
Mittwoch, 29. März 2023, 10:00–10:15, HSZ 304
Disentanglement, disorder lines, and Majorana edge states in a solvable quantum chain — Gennady Y. Chitov1, •Karun Gadge2,3, and Pavel N. Timonin4 — 1Département de Physique, Institut Quantique, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada — 2Institute for Theoretical Physics, Georg-August-University Göttingen, Friedrich-Hund-Platz 1, D-37077 Göttingen, Germany — 3School of Basic Sciences, Indian Institute of Technology Mandi, Mandi 175005, India — 4Rostov-on-Don, Russia
We study the exactly solvable one-dimensional model: the dimerized XY chain with uniform and staggered transverse fields, equivalent upon fermionization to the noninteracting dimerized Kitaev-Majorana chain with modulation. The criticality is controlled by the properties of zeros of model's partition function, analytically continued onto the complex wave numbers. In the ground state they become complex zeros of the spectrum of the Hamiltonian. The analysis of those roots yields the phase diagram which contains continuous quantum phase transitions and weaker singularities known as disorder lines (DLs) or modulation transitions. The salient property of zeros of the spectrum is that the ground state is shown to be separable (factorized), and the model is disentangled on a subset of the DLs. From analysis of those zeros we also find the Majorana edge states and their wave functions. Reference: PRB 106, 125146 (2022)