Synergetic effect of spin-orbit coupling and Zeeman splitting on the optical conductivity in the one-dimensional Hubbard model

被引:4
作者
Bolens, Adrien [1 ]
Katsura, Hosho [1 ]
Ogata, Masao [1 ]
Miyashita, Seiji [1 ]
机构
[1] Univ Tokyo, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan
关键词
MOTT TRANSITION;
D O I
10.1103/PhysRevB.95.235115
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study how the synergetic effect of spin-orbit coupling (SOC) and Zeeman splitting (ZS) affects the optical conductivity in the one-dimensional Hubbard model using the Kubo formula. We focus on two phenomena: (1) the electric dipole spin resonance (EDSR) in the metallic regime and (2) the optical conductivity in the Mott-insulating phase above the optical gap. In both cases, we calculate qualitatively the effects of SOC and ZS and how they depend on the relative angle between the SOC vector and the magnetic field direction. First, we investigate the spin resonance without electron correlation (the Hubbard parameter U = 0). Although, neither SOC nor ZS causes any resonance by itself in the optical conductivity, the EDSR becomes possible when both of them exist. The resulting contribution to the optical conductivity is analyzed analytically. The effect of U on the spin resonance is also studied with a numerical method. It is found that at half filling, the resonance is first enhanced for small U and then suppressed when the optical gap is large enough. In the strong coupling limit U -> infinity at half filling, we also refer to the resonance between the lower and upper Hubbard bands appearing at omega similar to U, above the optical gap. A large magnetic field tends to suppress the signal while it is recovered thanks to SOC depending on the relative angle of the magnetic field.
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页数:8
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共 35 条
[1]   Spin resonance in a quantum wire: Anomalous effects of an applied magnetic field [J].
Abanov, Ar. ;
Pokrovsky, V. L. ;
Saslow, W. M. ;
Zhou, P. .
PHYSICAL REVIEW B, 2012, 85 (08)
[2]   TOPOLOGICAL QUANTUM EFFECTS FOR NEUTRAL PARTICLES [J].
AHARONOV, Y ;
CASHER, A .
PHYSICAL REVIEW LETTERS, 1984, 53 (04) :319-321
[3]  
BYCHKOV YA, 1984, JETP LETT+, V39, P78
[4]   Optical conductivity of one-dimensional Mott insulators [J].
Controzzi, D ;
Essler, FHL ;
Tsvelik, AM .
PHYSICAL REVIEW LETTERS, 2001, 86 (04) :680-683
[5]   SPIN-ORBIT COUPLING EFFECTS IN ZINC BLENDE STRUCTURES [J].
DRESSELHAUS, G .
PHYSICAL REVIEW, 1955, 100 (02) :580-586
[6]   Theory of electric dipole spin resonance in a parabolic quantum well [J].
Efros, AL ;
Rashba, EI .
PHYSICAL REVIEW B, 2006, 73 (16)
[7]   Excitons in one-dimensional Mott insulators [J].
Essler, FHL ;
Gebhard, F ;
Jeckelmann, E .
PHYSICAL REVIEW B, 2001, 64 (12)
[8]   Optical conductivity of a two-dimensional electron liquid with spin-orbit interaction [J].
Farid, Abdel-Khalek ;
Mishchenko, Eugene G. .
PHYSICAL REVIEW LETTERS, 2006, 97 (09)
[9]   PERSISTENT CURRENTS IN MESOSCOPIC HUBBARD RINGS WITH SPIN-ORBIT INTERACTION [J].
FUJIMOTO, S ;
KAWAKAMI, N .
PHYSICAL REVIEW B, 1993, 48 (23) :17406-17412
[10]   Spin-orbital effects in magnetized quantum wires and spin chains [J].
Gangadharaiah, Suhas ;
Sun, Jianmin ;
Starykh, Oleg A. .
PHYSICAL REVIEW B, 2008, 78 (05)