Edge states and topological phases in non-Hermitian systems

On complexified mechanics and coquaternions

(2011) Dorje C Brody et al.   Journal of Physics A-Mathematical and Theoretical

Topology of Andreev bound states with flat dispersion

(2011) Masatoshi Sato et al.   PHYSICAL REVIEW B

Absence of topological insulator phases in non-HermitianPT-symmetric Hamiltonians

(2011) Yi Chen Hu et al.   PHYSICAL REVIEW B

PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS

(2010) ALI MOSTAFAZADEH   INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

The split algebras and noncompact Hopf maps

(2010) Kazuki Hasebe   JOURNAL OF MATHEMATICAL PHYSICS

Phase transitions in dissipative quantum transport and mesoscopic nuclear spin pumping

(2010) M. S. Rudner et al.   PHYSICAL REVIEW B

Split-quaternionic Hopf map, quantum Hall effect, and twistor theory

(2010) Kazuki Hasebe   PHYSICAL REVIEW D

Topological Transition in a Non-Hermitian Quantum Walk

(2009) M. S. Rudner et al.   PHYSICAL REVIEW LETTERS

Complex magnetic monopoles, geometric phases and quantum evolution in the vicinity of diabolic and exceptional points

(2008) Alexander I Nesterov et al.   Journal of Physics A-Mathematical and Theoretical

Classification of topological insulators and superconductors in three spatial dimensions

(2008) Andreas P. Schnyder et al.   PHYSICAL REVIEW B