[1] Wang Yonggang**, Yang Yonghong,. Spin-Orbit Scattering Effects on Hall Conductivityin a Layered Disordered Electron System* [J]. Journal of Southeast University (English Edition), 2002, 18 (2): 191-196. [doi:10.3969/j.issn.1003-7985.2002.02.019]
Copy
Spin-Orbit Scattering Effects on Hall Conductivityin a Layered Disordered Electron System*(
)
无序电子系统中自旋轨道散射对Hall电导率的影响
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 18
- Issue:
- 2002 2
- Page:
- 191-196
- Research Field:
- Mathematics, Physics, Mechanics
- Publishing date:
- 2002-06-30
Info
- Title:
- Spin-Orbit Scattering Effects on Hall Conductivityin a Layered Disordered Electron System*
- 无序电子系统中自旋轨道散射对Hall电导率的影响
- Author(s):
- Wang Yonggang**, Yang Yonghong
- Department of Physics, Southeast University, Nanjing 210096, China
- PACS:
- O482.4
- DOI:
- 10.3969/j.issn.1003-7985.2002.02.019
- Abstract:
- Spin-orbit scattering effects in a layered quasi-2D disordered electron system have been investigated by the diagrammatic techniques in perturbation theory. The expression of Cooperon(propagator in particle-particle channel)is obtained as the function of interlayer coupling. The analytical result for the quantum correction to Hall conductivity has been obtained as functions of elastic, inelastic and spin-orbit scattering times. It is shown that the strong and weak couplings correspond, respectively, to the 3D and 2D situations. The Hall coefficient is shown to vanish. The relevant dimensional crossover behavior from 3D to 2D with decreasing the interlayer coupling has been discussed, and the condition for the crossover has been obtained. The present theory is expected to apply for the electronic transport in tunneling superlattices.
- 利用微扰论中的图形技术讨论了层状准二维无序电子系统中自旋轨道散射效应的有关问题.得到作为层间耦合函数的Cooperon(粒子-粒子通道的传播函数)的表达式, 以及对Hall电导率量子相干修正的解析表达式, 它是弹性、非弹性和自旋轨道散射时间的函数.强耦合和弱耦合分别对应于三维和二维的情况.Hall系数变为零.此外还讨论了随层间耦合的减小由三维到二维的维度跨越行为和维度跨越的条件.该理论可以应用于解决隧道超晶格中的电子输运问题.
References:
[1] Lee P A, Ramakrishnan T V. Disordered electronic systems[J]. Rev Mod Phys, 1985, 57:287.
[2] Bergmann G. Weak localization in thin films[J].Phys Rep, 1984, 107:1.
[3] Abrahams E, Anderson P W, Licciardello D C, Ramakrishnan T V. Scaling theory of localization: Absence of quantum diffusion in two dimensions[J]. Phys Rev Lett, 1979, 42:673.
[4] Moyle J K, Cheung J T, Ong N P. Spin-orbit scattering time and dephasing time of carriers in two-dimensional HgTe-CdTe superlattices and heterojunctions[J]. Phys Rev B, 1987, 35:5639.
[5] Szott W, Jedrzejek C, Kirk W P. Theory of weak localization in a superlattice [J]. Phys Rev Lett, 1989, 63:980.
[6] Ando Y, Boebinger G S, Passner A, et al. Logarithmic divergence of both in-plane and out-of-plane normal-state resistivities of superconducting La2-xSrxCuO4 in the zero-temperature limit [J]. Phys Rev Lett, 1995, 75:4662.
[7] Ando Y, Boebinger G S, Passner A. Metallic in-plane and divergent out-of-plane resistivity of a high- Tc cuprate in the zero-temperature limit[J]. Phys Rev Lett, 1996, 77:2065.
[8] Szott W, Jedrzejek C, Kirk W P. Theory of weak localization in a superlattice[J]. Phys Rev B, 1989, 40:1790.
[9] Lu X J, Horing N J M. Dynamic conductivity and weak localization in a tunneling superlattice[J]. Phys Rev B, 1991, 44:5651.
[10] Yang Y H, Xing D Y, Gong C D.Interaction effects and dimensional crossover in disordered tunneling superlattices [J]. J Phys: Condens Matter , 1993, 5:6231.
[11] Abrikosov A A. Anderson localization in strongly anisotropic metals[J]. Phys Rev B, 1994, 50:1415.
[12] Abrikosov A A. Quantum interference effects in quasi-two-dimensional metals [J]. Phys Rev B, 2000, 61:7770.
[13] Hikami S, Larkin A I, Nagaoka Y. Spin-orbit interaction and magnetoresistance in the two dimensional random system [J]. Prog Theor Phys, 1980, 63:707.
[14] Bhatt R N, Wölfle P, Ramakrishnan T V. Localization and interaction effects in anisotropic disordered electronic systems [J]. Phys Rev B, 1985, 32:569.
[15] Altshuler B L, Khmel’nitzkii D, Larkin A I, et al. Magnetoresistance and Hall effect in a disordered two-dimensional electron gas [J]. Phys Rev B, 1980, 22:5142.
Memo
- Memo:
- * The project supported the National Natural Science Foundation of China(19874011).
** Born in 1972, male, graduate.