| Autor: |
Sugahara, Masanori, Bogolubov Jr., Nikolai N. |
| Předmět: |
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| Zdroj: |
Modern Physics Letters B; 8/10/2002, Vol. 16 Issue 18, p645, 15p |
| Abstrakt: |
Recently, the authors discussed the possibility of the macroscopic quantum state similar to the Quantum Hall Effect in a semi-localized 2D electron system with a toroidal electron-wave amplitude in the absence of any magnetic field. In order to give the concrete statistical foundation of the study, the fermion-boson statistical transformation of the 2D electron system is made using a Chern-Simons gauge potential Based on the solution of the resultant boson-type Hamiltonian, we construct the fermion-type solution via a unitary transformation. It is shown that the solution in the form of Laughlin function is stable when electrons form pairs. In the presence of hole doping, the pair Laughlin function leads to a representation of a superconducting state when the phase-coherence length λ[sub Θ] exceeds the incompressibility length λ[sub Q], but when λ[sub Θ] < λ[sub Q], it leads to a macroscopic quantum state characterized by particle-number definiteness. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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