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TT: Fachverband Tiefe Temperaturen

TT 31: Topology: Majorana Physics

TT 31.7: Talk

Wednesday, March 29, 2023, 11:00–11:15, HSZ 304

Odd-frequency pairing in Floquet topological superconductors — •Eslam S. Ahmed, Shun Tamura, and Yukio Tanaka — Department of Applied Physics, Nagoya University, Japan

Time-periodic (Floquet) Hamiltonians offer a unique and tunable way to engineer topological systems with intriguing edge modes. In particular, Floquet superconductors can possess multi-Majorana edge modes at energies E = 0 and E=π.

It is well-established that there is a direct relationship between odd-frequency Cooper pairing amplitudes and the topological invariants in the static superconductors. In our study, we discuss this relationship in the time-periodic regime.

We consider a Kitaev chain alternating in time between two different values for chemical potential. By tuning the time-periodicity of the alternating chemical potential, we show that the chain admits multiple zero and π energy Majorana modes at the edge of the chain. Furthermore, We show that odd-frequency Cooper pairing amplitude at the edge of the chain is correlated to the presence of Zero and π Majorana modes.