Spin-orbit, Many-body Physics, Magnetic Materials, Spintronics, topological materials, Quantum Phase Transitions, Strongly Interacting SystemsĪll contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. As examples of specific problems within the scope of this Research Topic we can list: - magnetic properties low-dimensional systems, - magnetic ordering in topological materials, - quantum phase transitions in spin systems, - Majorana fermions in topological superconductors, - Topological Kondo insulators, - interacting topological insulators and other problems alike. To attain this goal we invite researchers to publish their theoretical or experimental studies deepening current knowledge on spin-orbit coupling and many-body correlation in low dimensional systems. With this we seek promoting a fruitful environment for devising new directions in the physics of quantum correlations and spin-orbit coupled systems. In this context, in view of the recent interest in the interplay between inter-particle interaction and spin-orbit coupling, the central idea in this Research Topic is to bring together high-quality articles on the frontier of Condensed matter physics towards progress from most recent theoretical as well as experimental studies. Among many other examples we can mention: (1) the conjugation of spin-orbit interaction and superconductivity, which is fundamental for searching Majorana fermions (2) Magnetic impurities in topological materials exhibiting a rich family of Kondo effects (3) the intricate magnetic order from spiral spin chains to skyrmions in 2D magnetic systems induced by momentum-spin locking provided by spin-orbit couplings. On the other hand, while spin-orbit coupling is an intrinsically single-particle relativistic phenomenon, it has attracted much recent attention for being at the cornerstone of topological materials, opening fascinating possibilities for spintronics applications. Paradigmatic examples of these strongly-correlated phenomena are the Mott transition observed in transition metal oxides, and the Kondo effect in quantum impurity systems. A better coupling scheme for the heavy atoms is jj-coupling, where the total angular momentum of each electron is calculated first, and then these are coupled to give the overall total angular momentum of the atom.Many-body correlations are responsible for some remarkable low-temperature electronic properties that cannot be captured by the single-particle picture of traditional band-theory. The selection rules based on the values of S and L therefore do not hold. In heavier atoms, the coupling between the spin and orbital angular momentum of individual electrons is much stronger, and only the total angular momentum, J, is important. These selection rules only apply in the Russell-Saunders coupling scheme.
ΔJ = 0, +1, -1 but J = 0 to J = 0 is forbidden These allowed transitions may be summarized as a set of selection rules: The ground state term for the d 2system is:Īn important consequence of term symbols is their use to express the ranges of S, L, and J which may be involves in allowed transitions between the levels the term symbols represent. The relative order of the energies of these terms is given by Hund’s rules: 1) The most stable state is the one with the maximum multiplicityĢ) For a group of terms with the same multiplicity, the one with the largest value of L lies lowest in energy. Not all terms are allowed, as some would require electrons with the same spin to occupy the same orbital, in contravention of the Pauli exclusion principle. The information on the possible values of S, L and J as summarized in the term symbol: The number of levels possible for a given S number is the multiplicity, given by (2S + 1). In these structures, the strong spin-orbit coupling (SOC) in Pt in conjunction with a proximity-induced ferromagnetic exchange field from Py creates a triplet DoS in superconducting Nb through which pure spin currents pumped from Py can propagate with a greater efficiency than when Nb is in the normal state (19, 20). The total angular momentum quantum number, J, is obtained by coupling the total spin and orbital angular momenta according to:ĭifferent values of S can have different numbers of values of J, or different numbers of levels.
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