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Theory of phase transition and quantum transport in interacting one dimensional electron systems =Sogo sayosuru 1-jigen denshikei no soten’i to ryoshi yuso ni kansuru riron

Kenji Kamide

Published Mar 1, 2007• 0 citations
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We present a unified Boltzmann transport theory for the drag resistivity ${\ensuremath{\rho}}_{\mathrm{D}}$ in two-component systems close to a second-order phase transition. We find general expressions for ${\ensuremath{\rho}}_{\mathrm{D}}$ in two and three spatial dimensions, for arbitrary population and mass imbalance, for particle- and holelike bands, and show how to incorporate, at the Gaussian level, the effect of fluctuations close to a phase transition. We find that the proximity to the phase transition enhances the drag resistivity upon approaching the critical temperature from above, and we qualitatively derive the temperature dependence of this enhancement for various cases. In addition, we present numerical results for two concrete experimental systems: (i) three-dimensional cold atomic Fermi gases close to a Stoner transition and (ii) two-dimensional spatially separated electron and hole systems in semiconductor double quantum wells.

arXiv:1306.5078•Physical Review B•Dec 19, 2013•8 citations
We present a theory of the metal-insulator transition in a disordered two-dimensional electron gas. A quantum critical point, separating the metallic phase, which is stabilized by electronic interactions, from the insulating phase, where disorder prevails over the electronic interactions, has been identified. The existence of the quantum critical point leads to a divergence in the density of states of the underlying collective modes at the transition, causing the thermodynamic properties to behave critically as the transition is approached. We show that the interplay of electron-electron interactions and disorder can explain the observed transport properties and the anomalous enhancement of the spin susceptibility near the metal-insulator transition.
We present a unified Boltzmann transport theory for the drag resistivity ${\ensuremath{\rho}}_{\mathrm{D}}$ in two-component systems close to a second-order phase transition. We find general expressions for ${\ensuremath{\rho}}_{\mathrm{D}}$ in two and three spatial dimensions, for arbitrary population and mass imbalance, for particle- and holelike bands, and show how to incorporate, at the Gaussian level, the effect of fluctuations close to a phase transition. We find that the proximity to the phase transition enhances the drag resistivity upon approaching the critical temperature from above, and we qualitatively derive the temperature dependence of this enhancement for various cases. In addition, we present numerical results for two concrete experimental systems: (i) three-dimensional cold atomic Fermi gases close to a Stoner transition and (ii) two-dimensional spatially separated electron and hole systems in semiconductor double quantum wells.