Marcel Wagner

Numerical calculation of the complex berry phase in non-hermitian systems

Číslo: 6/2017
Periodikum: Acta Polytechnica
DOI: 10.14311/AP.2017.57.0470

Klíčová slova: complex Berry phase; PT symmetry; gauge smoothing, komplexní fáze Berry; PT symetrie; kalibrace měřidla

Pro získání musíte mít účet v Citace PRO.

Přečíst po přihlášení

Anotace: We numerically investigate topological phases of periodic lattice systems in tight-binding description under the influence of dissipation. The effects of dissipation are effectively described by PT-symmetric potentials. In this framework we develop a general numerical gauge smoothing procedure to calculate complex Berry phases from the biorthogonal basis of the system's non-Hermitian Hamiltonian. Further, we apply this method to a one-dimensional PT-symmetric lattice system and verify our numerical results by an analytical calculation.