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We present a plane wave implementation of the magnetic force theorem, which provides a first principles framework for extracting exchange constants parameterizing a classical Heisenberg model description of magnetic materials. It is shown…

Materials Science · Physics 2023-01-12 Frederik Durhuus , Thorbjørn Skovhus , Thomas Olsen

This study examines the increasing complexity in the magnetic properties of small $n$ = 3, 4, 5, 6 spin-1/2 quantum rings. Using an exact diagonalization of the isotropic Heisenberg Hamiltonian with nearest and next-nearest neighbor…

Materials Science · Physics 2016-09-21 J. T. Haraldsen

We develop a non-perturbative numerical method to study tunneling of a single electron through an Aharonov-Bohm ring where several strongly interacting electrons are bound. Inelastic processes and spin-flip scattering are taken into…

Strongly Correlated Electrons · Physics 2016-08-31 R. Zitko , J. Bonca

Recent experimental observation of inertial spin dynamics calls upon holistic reevaluation of the theoretical framework of magnetic resonance in ferromagnets. Here, we derive the secular equation of an inertial spin system in analogy to the…

Mesoscale and Nanoscale Physics · Physics 2022-08-30 Mikhail Cherkasskii , Igor Barsukov , Ritwik Mondal , Michael Farle , Anna Semisalova

We study the magnetic-field dependence of the interactions between two alkaline-earth(-like) Rydberg atoms, ${}^{88}$Sr and ${}^{174}$Yb. Considering the pair of Rydberg states $|ns,{}^3S_1,m_J\rangle$ and $|(n+1)s,{}^3S_1,m_J\rangle$, we…

Quantum Gases · Physics 2026-04-29 Masaya Kunimi , Takafumi Tomita

Effect of exchange anisotropy on the relaxation time of spin and vector chirality is studied for the antiferromagnetic classical Heisenberg model on the triangular lattice by using the nonequilibrium relaxation Monte Carlo method. We…

Strongly Correlated Electrons · Physics 2010-06-28 Takahiro Misawa , Yukitoshi Motome

The electronic structure of magnetic lanthanide atoms is fascinating from a fundamental perspective. They have electrons in a submerged open 4f shell lying beneath a filled 6s shell with strong relativistic correlations leading to a large…

Quantum Physics · Physics 2021-09-01 Eite Tiesinga , Jacek Klos , Ming Li , Alexander Petrov , Svetlana Kotochigova

Recent interest in orbital angular momentum has led to a rapid expansion of research on spin-orbit coupling effects in solids, while also highlighting significant technical challenges. The breaking of rotational symmetry renders the orbital…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Bumseop Kim , Noejung Park , Kyoung-Whan Kim

We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing the…

High Energy Physics - Theory · Physics 2023-12-18 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

Using the invariant operator method for an effective Hamiltonian including the radiation-spin interaction, we describe the quantum theory for magnetization dynamics when the spin system evolves nonadiabatically and out of equilibrium, $d…

Other Condensed Matter · Physics 2007-05-23 Jeongwon Ho , B. C. Choi , F. C. Khanna , Sang Pyo Kim

We present an ab initio investigation of magnetic exchange interactions using the spin-spiral method implemented in the VASP code, with a comparative analysis of the self-consistent (SC) and magnetic force theorem (MFT) approaches. Using…

Materials Science · Physics 2025-10-30 Umit Dogan Daglum , Maria Stamenova , Ersoy Sasioglu , Stefano Sanvito

In the Kitaev honeycomb model, spins coupled by strongly-frustrated anisotropic interactions do not order at low temperature but instead form a quantum spin liquid with spin fractionalization into Majorana fermions and static fluxes. The…

In RuCl$_3$, inelastic neutron scattering and Raman spectroscopy reveal a continuum of non-spin-wave excitations that persists to high temperature, suggesting the presence of a spin liquid state on a honeycomb lattice. In the context of the…

We put forward a new approach based on Green's function formalism to evaluate precisely persistent charge and spin currents in an Aharonov-Bohm ring subjected to Rashba and Dresselhaus spin-orbit interactions. Unlike conventional methods…

Mesoscale and Nanoscale Physics · Physics 2014-08-19 Santanu K. Maiti , Moumita Dey , S. N. Karmakar

A higher-order relativistic k.p model is developed to describe plasmon excitations in two-dimensional (2D) electronic systems with spin-orbit coupling (SOC) and magnetic-exchange interactions. Derived entirely from ab initio band structure,…

Other Condensed Matter · Physics 2026-03-03 I. A. Nechaev , V. M. Silkin , E. E. Krasovskii

In this paper we study the swap operation in a two-qubit anisotropic XXZ model in the presence of an inhomogeneous magnetic field. We establish the range of anisotropic parameter within which the swap operation is feasible. The swap errors…

Quantum Physics · Physics 2008-08-20 Yue Zhou , Guo-Feng Zhang , Fu-Hua Yang , Song-Lin Feng

We perform time-dependent simulations of spin exchange for an electron pair in laterally coupled quantum dots. The calculation is based on configuration interaction scheme accounting for spin-orbit (SO) coupling and electron-electron…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 M. P. Nowak , B. Szafran

We study the exchange constants of MnV$_2$O$_4$ using magnetic force theorem and local spin density approximation of density functional theory supplemented with a correction due to on-site Hubbard interaction U. We obtain the exchanges for…

Materials Science · Physics 2013-08-13 R. Nanguneri , S. Y. Savrasov

The thermodynamics of a site-diluted ferromagnetic Heisenberg model for spin $S=1/2$ with interaction anisotropy in spin space is investigated. The study is aimed at presenting the magnetocaloric properties of such a model, including the…

Statistical Mechanics · Physics 2013-04-09 Karol Szałowski , Tadeusz Balcerzak , Andrej Bobák

We develop a calculation scheme using \textit{ab initio} tight-binding Hamiltonians to evaluate biquadratic magnetic interactions. This approach relies on the spin cluster expansion combined with the disordered local moment (DLM) method,…

Strongly Correlated Electrons · Physics 2025-11-21 Tatsuto Hatanaka , Juba Bouaziz , Takuya Nomoto , Ryotaro Arita
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