Phase transitions in the quantum Hall liquid in a quantum wire |
| |
Authors: | Oleg G Balev Sanderson Silva Nelson Studart |
| |
Institution: | aDepartamento de Física, Universidade Federal de São Carlos, São Carlos 13565-905, Brazil;bInstitute of Semiconductor Physics, National Academy of Sciences of Ukraine, Kiev 03650, Ukraine;cDepartamento de Física, Universidade Federal de Amazonas, Manaus 67077-000, Brazil |
| |
Abstract: | Two scenarios for the collapse of the ν=1 quantum Hall liquid (QHL) state, with the effective quantum wire (QW) width defined by the Fermi vector kF, are studied. Here, ν for the QW is defined as the filling factor of Landau levels (LL) at the center of the QW. In the first one there is no electron redistribution at critical magnetic field , where the Fermi energy, EF, coincides with the bottom of the empty upper spin-split LL. For the ν=1 state is unstable due to exchange-correlation effects and lateral confinement. In the second scenario, a transition to the ν=2 state occurs, with much smaller width, at . The latter scenario is analyzed in the Hartree–Fock approximation (HFA). Here the Hartree contribution to the total energy affects drastically due to strong electron redistribution in the QW. In both scenarios, the exchange-enhanced g-factor is suppressed at Bcr. The critical fields, activation energy, and optical g-factor obtained in the first scenario are very close to the measured ones. |
| |
Keywords: | Quantum Hall effect Electronic phase transitions color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6VMT-4JWMXRW-1&_mathId=mml24&_user=10&_cdi=6159&_rdoc=39&_acct=C000053510&_version=1&_userid=1524097&md5=b7ccb42c423802eacc9a7a906d509bd8" title="Click to view the MathML source" g-Factor" target="_blank">alt="Click to view the MathML source">g-Factor Quantum wires |
本文献已被 ScienceDirect 等数据库收录! |
|