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Generalized SSH model with staggered field

delete2025-12-31
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PRE
AI
I
Igor N. Karnaukhov *
E
E. E. Krasovskii
DOI:10.1088/2516-1075/ae22afdelete
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Abstract

Abstract

En 中文
The ground state phase diagram of a generalized one-dimensional Su-Schrieffer-Heeger model is studied. The model takes into account staggered hoppings along the chain between the nearest-neighbor and next-nearest neighbor lattice sites as well as a staggered field. The phase diagram includes a topological phase with two zero energy localized edge modes and a non-trivial phase (NTP). In the NTP localized edge modes with different energies are realized. The Zak number nu(u) is a function of the staggered field amplitude u. The staggered field splits the zero energy edge modes, and the invariant becomes nu=12[nu(u)+nu(-u)]. In the staggered field, the phase transition between the NTP and the trivial phase (in which the edge modes are absent) occurs without gap closing, but the nu-invariant changes abruptly.
Keywords:
Zak number
topological phase
localized edge mode

Journal

Electronic Structure cover
Electronic Structure
IF:
2.4
Papers:
63
Citations:
566

Organization

K
kurdyumov institute of metal physics
Scholars:
156
Papers: 120
Citations: 0
N
national academy of sciences ukraine
Scholars:
1.4W
Papers: 9.3K
Citations: 6