Wigner crystallization in the lowest Landau level for nu>=1/5

Article

关键词: QUANTUM HALL LIQUID;    DENSITY-WAVE STATE;    INSULATING PHASE;    MAGNETIC-FIELD;    MONTE-CARLO;    EXCITATIONS;    CRYSTAL;    LIMIT;   

DOI  :  10.1103/PhysRevB.54.8644

来源: SCIE

【 摘 要 】

By means of exact diagonalization we study the low-energy states of seven electrons in the lowest Landau level which are confined by a cylindric external potential modeling the rest of a macroscopic system and thus controlling the filling factor nu. Wigner crystal is found to be the ground state for filling factors between nu=1/3 and nu=1/5 provided electrons interact via the bare Coulomb potential. Even at nu=1/5 the solid state has lower energy than the Laughlin one, although the two energies are rather close. We also discuss the role of pseudopotential parameters in the lowest Landau level and demonstrate that the earlier reported gapless state. appearing when the short-range part of the interaction is suppressed, has nothing in common with the Wigner crystallization in the pure Coulomb case.

【 授权许可】

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