Structure and scaling of Kitaev chain across a quantum critical point in real space
2024
Online
report
The spatial Kibble-Zurek mechanism (KZM) is applied to the Kitaev chain with inhomogeneous pairing interactions that vanish in half of the lattice and result in a quantum critical point separating the superfluid and normal-gas phases in real space. The weakly-interacting BCS theory predicts scaling behavior of the penetration of the pair wavefunction into the normal-gas region different from conventional power-law results due to the non-analytic dependence of the BCS order parameter on the interaction. The Bogoliubov-de Gennes (BdG) equation produces numerical results confirming the scaling behavior and hints complications in the strong-interaction regime. The limiting case of the step-function quench shows the dominance of the BCS coherence length in absence of additional length scale. Furthermore, the energy spectrum and wavefunctions from the BdG equation show abundant in-gap states from the normal-gas region in addition to the topological edge states.
Comment: 10 pages, 7 figures, submitted
Titel: |
Structure and scaling of Kitaev chain across a quantum critical point in real space
|
---|---|
Autor/in / Beteiligte Person: | He, Yan ; Chien, Chih-Chun |
Link: | |
Veröffentlichung: | 2024 |
Medientyp: | report |
Schlagwort: |
|
Sonstiges: |
|