Abstract
The authors show that in the non-Hermitian Su-Schrieffer-Heeger model, a topological semimetal phase with exceptional points is stabilized due to deformations of the generalized Brillouin zone. Each energy band is divided into three regions by cusps and exceptional points on the generalized Brillouin zone.
Highlights
Non-Hermitian quantum mechanics has been attracting much attention in many fields of physics in the past decades
We show that in one-dimensional non-Hermitian systems with both sublattice symmetry and time-reversal symmetry such as the non-Hermitian Su-Schrieffer-Heeger model, a topological semimetal phase with exceptional points is stabilized by the unique features of the generalized Brillouin zone (GBZ)
We show that in one-dimensional (1D) non-Hermitian systems with both sublattice symmetry (SLS) and time-reversal symmetry (TRS), a topological semimetal (TSM) phase becomes stable under a continuous change of system parameters
Summary
Non-Hermitian quantum mechanics has been attracting much attention in many fields of physics in the past decades. Many experimental studies have realized various physical systems with non-Hermitian effects [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] Among these experimental studies, appearance of exceptional points and rings where some energy eigenvalues become degenerate and the corresponding eigenstates coalesce [23,24] and intriguing phenomena have been observed [25,26,27,28,29,30,31,32,33,34,35,36]. Cβ is divided into the three regions, whose boundaries are given by cusps on Cβ and exceptional points
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