Quantum phase transitions and collapse of the Mott gap in the d=1+epsilon dimensional Hubbard model with 2k(F) umklapp scattering | |
Article | |
关键词: METAL-INSULATOR TRANSITIONS; ANDERSON LOCALIZATION; ORGANIC CONDUCTORS; FERMI GAS; SYSTEMS; EXPANSION; | |
DOI : 10.1103/PhysRevB.62.2377 | |
来源: SCIE |
【 摘 要 】
We study the low-energy asymptotics of the d=1+epsilon dimensional Hubbard model with a circular Fermi surface where there is 2k(F) umklapp scattering present a priori. Peculiarity of the d=1+epsilon dimensions is incorporated through the imbalance between the elementary particle-particle and particle-hole (PH) loops: infrared logarithmic singularity of the PH loop is smeared for epsilon>0. The one-loop renormalization-group flows indicate that a quantum phase transition from a metallic phase to the Mott insulator phase occurs at a finite on-site Coulomb repulsion U for epsilon>0. We also discuss effects of randomness.
【 授权许可】
Free