The experiment that the high spin selectivity and the length-dependent spin polarization are observed in double-stranded DNA [Science 331, 894 (2011)], is elucidated by considering the combination of the spin-orbit coupling, the environment-induced dephasing, and the helical symmetry. We show that the spin polarization in double-stranded DNA is significant even in the case of weak spin-orbit coupling, while no spin polarization appears in single-stranded DNA. Furthermore, the underlying physical mechanism and the parameter dependence of the spin polarization are studied.

We report on a theoretical study of spin-dependent electron transport through single-helical molecules connected by two nonmagnetic electrodes, and explain the experiment of significant spin-selective phenomenon observed in α-helical protein and the contradictory results between the protein and single-stranded DNA. Our results reveal that the α-helical protein is an efficient spin filter and the spin polarization is robust against the disorder. These results are in excellent agreement with recent experiments [Mishra D, et al. (2013) Proc Natl Acad Sci USA 110(37):14872–14876; Göhler B, et al. (2011) Science 331(6019):894–897] and may facilitate engineering of chiral-based spintronic devices.

We report spin-selective tunneling of electrons along double-stranded DNA sandwiched between nonmagnetic leads. On the basis of a model Hamiltonian which contains spin-orbit interaction and dephasing, the conductance and the spin polarization are calculated for natural and artificial DNA molecules by using the Landauer-Büttiker formula. Our results reveal that the spin filtration efficiency strongly depends on the DNA sequence and is dominated by its end segment. Both genomic and artificial DNA molecules could be efficient spin filters. The spin-filtering effects are sensitive to point mutation which occurs in the end segment. These results are in good agreement with recent experiments and are robust against various types of disorder, and could help for designing DNA-based spintronic devices.

We report on a way to manipulate the spin transport through double-stranded DNA contacted by normal-metal electrodes. On the basis of an effective model Hamiltonian, the conductance and the spin polarization are calculated in the presence of a gate voltage by using the Landauer-B\"uttiker formula. Our results indicate that the spin polarization presents strong dependence on the magnitude as well as the direction of the gate voltage. The spin polarization can be significantly enhanced by tuning the gate voltage and shows oscillating behavior with increasing the DNA length.

We study the crossed Andreev effects in two-dimensional conductor/superconductor hybrid systems under a perpendicular magnetic field. Both a graphene/superconductor hybrid system and an electron gas/superconductor one are considered. It is shown that an exclusive crossed Andreev reflection, with other Andreev reflections being completely suppressed, is obtained in a high magnetic field because of the chiral edge states in the quantum Hall regime. Importantly, the exclusive crossed Andreev reflection not only holds for a wide range of system parameters, e.g., the size of system, the width of central superconductor, and the quality of coupling between the graphene and the superconductor, but also is very robust against disorder. When the applied bias is within the superconductor gap, a robust Cooper-pair splitting process with high-efficiency can be realized in this system.