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Chiral molecules and the electron spin

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Abstract

The electron’s spin is essential to the stability of matter, and control over the spin opens up avenues for manipulating the properties of molecules and materials. The Pauli exclusion principle requires that two electrons in a single spatial eigenstate have opposite spins, and this fact dictates basic features of atomic states and chemical bond formation. The energy associated with interacting electron clouds changes with their relative spin orientation, and by manipulating the spin directions, one can guide chemical transformations. However, controlling the relative spin orientation of electrons located on two reactants (atoms, molecules or surfaces) has proved challenging. Recent developments based on the chiral-induced spin selectivity (CISS) effect show that the spin orientation is linked to molecular symmetry and can be controlled in ways not previously imagined. For example, the combination of chiral molecules and electron spin opens up a new approach to (enantio)selective chemistry. This Review describes the theoretical concepts underlying the CISS effect and illustrates its importance by discussing some of its manifestations in chemistry, biology and physics. Specifically, we discuss how the CISS effect allows for efficient long-range electron transfer in chiral molecules and how it affects biorecognition processes. Several applications of the effect are presented, and the importance of controlling relative spin orientations in multi-electron processes, such as electrochemical water splitting, is emphasized. We describe the enantiospecific interaction between ferromagnetic substrates and chiral molecules and how it enables the separation of enantiomers with ferromagnets. Lastly, we discuss the relevance of CISS effects to biological electron transfer, enantioselectivity and CISS-based spintronics applications.
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... Although the original effect was observed in photoelectron spectroscopy experiments [9][10][11][12], CISS has since been observed in a wide range of scenarios, such as electron transfer through chiral molecules [13][14][15], chemical reactions of chiral molecules at metal surfaces [16][17][18], and spin-Hall measurements [19][20][21]. Of particular interest to this article are experiments observing spin polarization of electron transport through chiral molecular junctions, where a chiral molecule is placed between two electrodes, one of which is magnetized and can inject spin-polarized electrons [22][23][24][25][26][27], demonstrating that the CISS effect occurs * samuel.rudge@physik.uni-freiburg.de even at the single-molecule level. ...
... (1),s L,+,ℓ,1;ss . (23) From this, we define the spin polarization in the charge current as the relative difference between ⟨I⟩ ↓ and ⟨I⟩ ↑ , ...
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The connection between molecular vibrations and spin polarization in charge transport through molecular junctions is currently a topic of high interest, with important consequences for a variety of phenomena, such as chirality-induced spin selectivity (CISS). In this work, we follow this theme by exploring the relationship between vibronic dynamics and the corresponding spin polarization of the nonequilibrium charge current in a molecular junction. We employ the hierarchical equations of motion (HEOM) approach, which, since it is numerically exact and treats the vibrational degrees of freedom quantum mechanically, extends previous analyses of similar models that relied on approximate transport methods. We find significant spin polarization of the charge current in the off-resonant, low-voltage regime, where the vibrations must be treated quantum mechanically. Furthermore, we are able to connect the spin polarization in the charge transport to a corresponding polarization of the vibrational dynamics, which manifests itself in the vibrational angular momentum and excitation. Our analysis covers multiple molecule-lead couplings, temperatures, orbital energies, and spin-orbit couplings, demonstrating that the vibrationally assisted spin polarization is robust across a broad range of parameters.
... Chirality represents a structure that lacks both inversion and mirror symmetries. When electrons pass through chiral materials, their spins become polarized parallel or antiparallel to the direction of the current, a phenomenon known as the chirality-induced spin selectivity (CISS) effect [1][2][3][4][5][6][7][8] . The CISS effect, initially identified in organic molecules, has now been demonstrated in inorganic materials [9][10][11][12][13][14] . ...
... Finally, we show the coefficient γ defined with D z and D sz z in Eq. (5), which quantifies the spin current under the setup with fixed electric current. The order parameter dependence of γ in the s+p-wave superconducting state is presented in Fig. 9. Notably, the current-induced spin current can be enhanced in strongly parity-mixed superconductors. ...
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Chiral materials exhibit a spin filtering effect, so-called chirality-induced spin selectivity (CISS). A recent observation of spin accumulation at the ends of a chiral-structured superconductor has opened up a new pathway for studying the CISS effect in superconductors. In chiral-structured superconductors, the admixture of the spin-singlet and spin-triplet order parameters significantly influences the properties of superconductivity. In this paper, we investigate the interplay between the superconducting order parameter and supercurrent-induced spin current, namely, the superconducting CISS effect. In weakly party-mixed superconductors, the spin current, which is predominantly temperature-independent, is carried by spin-polarized Cooper pairs with finite center-of-mass momentum. In contrast, in strongly party-mixed superconductors the temperature-dependent spin current is also carried by electrons with opposite momentum and antiparallel spins forming a Cooper pair. Chiral-structured superconductors will offer a novel platform for exploring the CISS effect and may provide deeper insights into its underlying mechanisms related to the parity-mixed order parameter.
... We provide the details of the single crystal growth used in our study. Single crystals of Te were produced via the physical vapour transport (PVT) method 5 . A mass of 0.36 g of bulk Te was vacuumsealed in a quartz tube and heated in a three-zone electric furnace. ...
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