Quantum mechanics of a spin-orbit coupled electron constrained to a space curve

被引:63
作者
Ortix, Carmine [1 ]
机构
[1] IFW Dresden, Inst Theoret Solid State Phys, D-01069 Dresden, Germany
关键词
SEMICONDUCTOR;
D O I
10.1103/PhysRevB.91.245412
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We derive the effective one-dimensional Schrodinger-Pauli equation for electrons constrained to move on a space curve. The electrons are confined using a double thin-wall quantization procedure with adiabatic separation of fast and slow quantum degrees of freedom. This procedure is capable of yielding a correct Hermitian one-dimensional Schrodinger-Pauli operator. We find that the torsion of the space curve generates an additional quantum geometric potential, adding to the well-known curvature-induced one. Finally, we derive an analytic form of the one-dimensional Hamiltonian for spin-orbit coupled electrons in a nanoscale helical wire.
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页数:4
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