Dynamics of edge currents in a linearly quenched Haldane model

Mardanya, Sougata ; Bhattacharya, Utso ; Agarwal, Amit ; Dutta, Amit (2018) Dynamics of edge currents in a linearly quenched Haldane model Physical Review B, 97 (11). ISSN 2469-9950

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Official URL: http://doi.org/10.1103/PhysRevB.97.115443

Related URL: http://dx.doi.org/10.1103/PhysRevB.97.115443


In a finite time quantum quench of the Haldane model, the Chern number determining the topology of the bulk remains invariant, as long as the dynamics is unitary. Nonetheless, the corresponding boundary attribute, the edge current, displays interesting dynamics. For the case of sudden and adiabatic quenches the post quench edge current is solely determined by the initial and the final Hamiltonians, respectively. However for a finite time (τ) linear quench in a Haldane nano ribbon, we show that the evolution of the edge current from the sudden to the adiabatic limit is not monotonic in τ, and has a turning point at a characteristic time scale τ=τc. For small τ, the excited states lead to a huge unidirectional surge in the edge current of both the edges. On the other hand, in the limit of large τ, the edge current saturates to its expected equilibrium ground state value. This competition between the two limits lead to the observed non-monotonic behavior. Interestingly, τc seems to depend only on the Semenoff mass and the Haldane flux. A similar dynamics for the edge current is also expected in other systems with topological phases.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:117166
Deposited On:16 Apr 2021 04:33
Last Modified:16 Apr 2021 04:33

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