TY - JOUR
T1 - Topological and dynamical properties of a generalized cluster model in one dimension
AU - Ohta, Takumi
AU - Tanaka, Shu
AU - Danshita, Ippei
AU - Totsuka, Keisuke
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grants No. 15K17720, No. 15H03699, No. 25420698 (S.T.), No. 25800228, No. 25220711 (I.D.), and No. 15K05211 (K.T.). S.T. was also supported by Waseda University Grant for Special Research Projects (Project No. 2015B-514). I.D. was also supported by the Topological Materials Science (No. 15H05855) KAKENHI on innovative Areas from MEXT of Japan. The computations in the present work were performed on super computers at Yukawa Institute for Theoretical Physics, Kyoto University, and Institute for Solid State Physics, The University of Tokyo.
Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/4/18
Y1 - 2016/4/18
N2 - We study the ground-state phase diagram and dynamics of the one-dimensional cluster model with several competing interactions. Paying particular attention to the relation between the entanglement spectrum (ES) and the bulk topological (winding) number, we first map out the ground-state phases of the model and determine the universality classes of the transitions from the exact solution. We then investigate the dynamical properties during interaction sweeps through the critical points of topological phase transitions. When the sweep speed is slow, the correlation functions and the entanglement entropy exhibit spatially periodic structures. On top of this, the levels in the ES oscillate temporally during the dynamics. By explicitly calculating the above quantities for excited states, we attribute these behaviors to the Bogoliubov quasiparticles generated near the critical points. We also show that the ES reflects the strength of the Majorana correlation even for the excited states.
AB - We study the ground-state phase diagram and dynamics of the one-dimensional cluster model with several competing interactions. Paying particular attention to the relation between the entanglement spectrum (ES) and the bulk topological (winding) number, we first map out the ground-state phases of the model and determine the universality classes of the transitions from the exact solution. We then investigate the dynamical properties during interaction sweeps through the critical points of topological phase transitions. When the sweep speed is slow, the correlation functions and the entanglement entropy exhibit spatially periodic structures. On top of this, the levels in the ES oscillate temporally during the dynamics. By explicitly calculating the above quantities for excited states, we attribute these behaviors to the Bogoliubov quasiparticles generated near the critical points. We also show that the ES reflects the strength of the Majorana correlation even for the excited states.
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U2 - 10.1103/PhysRevB.93.165423
DO - 10.1103/PhysRevB.93.165423
M3 - Article
AN - SCOPUS:84964318267
VL - 93
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 2469-9950
IS - 16
M1 - 165423
ER -