- Tytuł:
- Quasi-Particle Localization by Disorder in ν = 5/2 Fractional Quantum Hall State and Its Potential Application
- Autorzy:
- Goswami, P.
- Tematy:
- 73.21.Fg
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- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Powiązania:
- https://bibliotekanauki.pl/articles/1418290.pdf  Link otwiera się w nowym oknie
- Opis:
- We consider the filling factor 5/2 fractional quantum Hall state of spin-polarized fermions in a dirty (mobility $μ_b \lt 10 m^2 V^{-1} s^{-1}$) bi-layer quantum well system.We show that the system undergoes a quantum phase transition from the effective two-component state to an effective single-component state, at fixed charge imbalance regulatory parameter $\Delta_{c}$ and constant layer separation, as the inter-layer tunneling strength $\Desta_\text{SAS}$ is increased. At finite and constant $\Delta_\text{SAS}$, a transition from the latter state to the former state is also possible upon increasing the parameter $\Delta_{c}$. We identify the order parameter to describe quantum phase transition as a pseudo-spin component and calculate this with the aid of the Matsubara propagators in the finite-temperature formalism. Our treatment is able to show that, at low temperature(< 0.1 K) and low value of charge imbalance regulatory parameter, there is a competition between the disorder and the inter-layer tunneling strength in the sample. The competition leads to the quasi-particle localization at low tunneling strength.
- Dostawca treści:
- Biblioteka Nauki
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