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An extension of the Heisenberg Hamiltonian is discussed, that allows to go beyond the standard bilinear spin Hamiltonian taking into account various contributions due to multispin interactions having both chiral and non-chiral character.…

Materials Science · Physics 2020-05-06 S. Mankovsky , S. Polesya , H. Ebert

Interatomic hopping mediated by spin-orbit coupling (SOC) entangles spin, orbital and sublattice degrees of freedom of electrons, leading to the emergence of intriguing phenomena such as novel topological insulators and exotic…

Materials Science · Physics 2024-07-16 Masaki Kato , Masao Ogata

The mechanism of the unconventional topological superconductivity (TSC) remains a long-standing issue. We investigate the quantum phase diagram of the extended $t$-$J$-$J_{\chi}$ model including spin chiral interactions on triangular…

Strongly Correlated Electrons · Physics 2022-07-18 Yixuan Huang , D. N. Sheng

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct…

Quantum Physics · Physics 2016-06-01 Zhihuang Luo , Chao Lei , Jun Li , Xinfang Nie , Zhaokai Li , Xinhua Peng , Jiangfeng Du

We derive diffusion equations, which describe spin-charge coupled transport on the helical metal surface of a three-dimensional topological insulator. The main feature of these equations is a large magnitude of the spin-charge coupling,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , D. G. Hawthorn

For over two decades, the role of structural chirality in spin polarization has been widely investigated, with implications for the origins of life, catalysis, and quantum phenomena. Yet, it remains unclear whether all chirality-induced…

Mesoscale and Nanoscale Physics · Physics 2025-05-12 Pius M. Theiler , Sander Driessen , Matthew C. Beard

Anisotropic magnetic exchange interactions lead to a surprisingly rich variety of the magnetic properties. Considering the spin orbit coupling (SOC) as perturbation, we extract the general expression of a bilinear spin Hamiltonian,…

Materials Science · Physics 2023-08-29 Di Wang , Xiangyan Bo , Feng Tang , Xiangang Wan

We derive the interatomic spin-orbit interaction (SOI) from a helical atomic chain composed of $p$-orbitals with intra-atomic SOI, which exhibits a helical state--a potential origin of the chiral-induced spin selectivity (CISS) effect. In…

Mesoscale and Nanoscale Physics · Physics 2025-12-02 Takemitsu Kato , Yasuhiro Utsumi , Ora Entin-Wohlman , Amnon Aharony

A scheme is presented to calculate on a first-principles level the spin-lattice coupling (SLC) parameters needed to perform combined molecular-spin dynamics (MSD) simulations. By treating changes to the spin configuration and atomic…

Materials Science · Physics 2023-05-03 Sergiy Mankovsky , Hannah Lange , Svitlana Polesya , Hubert Ebert

One-dimensional quantum rings with Rashba and Dresselhaus spin-orbit couplings are studied analytically and are in perfect agreement with the numerical results. The topological charge of the spin field defined by the winding number along…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Shenglin Peng , Wenchen Luo , Fangping Ouyang , Tapash Chakraborty

Spin-orbit coupling (SOC) in noncentrosymmetric materials is the source of incommensurate magnetic structures. In semiconductors, it drives the Rashba spin splitting and spin momentum locking, while in magnetic insulators based on…

Strongly Correlated Electrons · Physics 2026-01-08 Ryo Makuta , Chisa Hotta

The interplay of exchange correlations and spin-orbit interaction (SOI) on the many-body spectrum of a copper phtalocyanine (CuPc) molecule and their signatures in transport are investigated. We first derive a minimal model Hamiltonian in a…

Mesoscale and Nanoscale Physics · Physics 2015-08-20 Benjamin Siegert , Andrea Donarini , Milena Grifoni

The exchange-driven contribution to the magnetoelectric susceptibility $\hat\alpha$ is formulated using a microscopic model Hamiltonian coupling the spin degrees of freedom to lattice displacements and electric field, which may be…

Materials Science · Physics 2014-05-13 Sai Mu , A. L. Wysocki , K. D. Belashchenko

Chirally Induced Spin Selectivity (CISS) is a transport phenomenon observed in both linear and non-linear regimes, where the spin-orbit coupling (SOC) acts as the key driver and electron tunneling serves as the dominant mechanism for charge…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Miguel Mena , Bertrand Berche , Ernesto Medina

Spin-orbit coupling (SOC) is a key interaction in spintronics, allowing an electrical control of spin or magnetization and, vice versa, a magnetic control of electrical current. However, recent advances have revealed much broader…

We present a technique to map an electronic model with local interactions (a generalized multi-orbital Hubbard model) onto an effective model of interacting classical spins, by requiring that the thermodynamic potentials associated to spin…

Strongly Correlated Electrons · Physics 2015-05-27 Andrea Secchi , Alexander I. Lichtenstein , Mikhail I. Katsnelson

We report on {\it ab initio} time-dependent spin dynamics simulations for a two-center magnetic molecular complex based on time-dependent non-collinear spin density functional theory. In particular, we discuss how the dynamical behavior of…

Other Condensed Matter · Physics 2015-06-16 Maria Stamenova , Stefano Sanvito

We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 Motohiko Ezawa

Chiral-Induced Spin Selectivity (CISS) describes the emergence of spin-polarized electron transport in chiral systems without magnetic fields, a remarkable effect in light-element materials with weak intrinsic spin-orbit coupling (SOC).…

One of the most important properties of topological insulators (TIs) is the helical spin texture of the Dirac surface states, which has been theoretically and experimentally argued to be left-handed helical above the Dirac point and right…

Strongly Correlated Electrons · Physics 2012-11-27 Y. Cao , J. A. Waugh , N. C. Plumb , T. J. Reber , S. Parham , G. Landolt , Z. Xu , A. Yang , J. Schneeloch , G. Gu , J. H. Dil , D. S. Dessau
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