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In this report we review the method of explicit calculations of interatomic exchange interactions of magnetic materials. This involves exchange mechanisms normally referred to as Heisenberg exchange, Dzyaloshinskii-Moriya interaction and…

This chapter takes a microscopic view of quantum tunneling of magnetization (QTM) in single-molecule magnets (SMMs), focusing on the interplay between exchange and anisotropy. Careful consideration is given to the relationship between…

Mesoscale and Nanoscale Physics · Physics 2013-03-04 Junjie Liu , Enrique del Barco , Stephen Hill

Using a point-charge calculation of the electrostatic crystal field, we determine the non-degenerate orbital ground state of the ferromagnetic Mott insulator YTiO3, which is found to agree perfectly with experiment. Based on the orbital…

Strongly Correlated Electrons · Physics 2009-11-11 Robert Schmitz , Ora Entin-Wohlman , Amnon Aharony , Erwin Mueller-Hartmann

The magnetic properties of the molecular cluster Mn12Ac are due to the four Mn3+ ions which have spins S=3/2 and the eight Mn4+ ions with spins S=2. These spins are coupled by superexchange mechanism. We determine the four exchange…

Strongly Correlated Electrons · Physics 2009-11-07 N. Regnault , Th. Jolicoeur , R. Sessoli , D. Gatteschi , M. Verdaguer

Entanglement, magnetization and magnetic susceptibility for 1D antiferromagnetic spin 1 and spin 3/2 Heisenberg XXX model with Dzyaloshinskii-Moriya interaction, single-ion anisotropy and external magnetic field on the finite chain are…

Statistical Mechanics · Physics 2022-12-22 Nerses Ananikian , Vladimir V. Papoyan

We investigate the chiral magnetic order in free-standing planar 3$d$-5$d$ bi-atomic metallic chains (3$d$: Fe, Co; 5$d$: Ir, Pt, Au) using first-principles calculations based on density functional theory. We found that the antisymmetric…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Vikas Kashid , Timo Schena , Bernd Zimmermann , Yuriy Mokrousov , Stefan Blügel , Vaishali Shah , H. G. Salunke

Recent experiments on the anisotropic spin-1/2 triangular antiferromagnet Cs_2CuBr_4 have revealed a remarkably rich phase diagram in applied magnetic fields, consisting of an unexpectedly large number of ordered phases. Motivated by this…

Strongly Correlated Electrons · Physics 2012-01-04 Christian Griset , Shane Head , Jason Alicea , Oleg A. Starykh

We have synthesized the anti-symmetric spin exchange interaction (ASI), which is also called the Dzyaloshinskii-Moriya interaction, in a superconducting circuit containing five superconducting qubits connected to a bus resonator, by…

Quantum Physics · Physics 2019-01-24 Da-Wei Wang , Chao Song , Wei Feng , Han Cai , Da Xu , Hui Deng , Dongning Zheng , Xiaobo Zhu , H. Wang , Shiyao Zhu , Marlan O. Scully

A prominent character of two-dimensional magnetic systems is the enhanced spin fluctuations, which however reduce the ordering temperature. Here we report that a magnetic field of only one-thousandth of the Heisenberg superexchange…

Anisotropic spin-spin interactions of the symmetry described by Dzyaloshinsky and Moriya are generally considered weak, as they depend on the spin-orbit couplings. In frustrated spin systems with singlet ground states they can, however,…

Strongly Correlated Electrons · Physics 2009-11-07 O. Cepas , T. Sakai , T. Ziman

The magnetic anisotropy and exchange coupling between spins localized at the positions of 3d transition metal atoms forming two-dimensional metal-organic coordination networks (MOCNs) grown on the Au(111) metal surface are studied. In…

Recent work [1] demonstrated high coercivity and magnetic moment in cobalt carbide nanoparticle assemblies and explained the high coercivity from first principles in terms of the high magnetocrystalline anisotropy of the cobalt carbide…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Pallabi Sutradhar , Shiv N. Khanna , Jayasimha Atulasimha

Magnetization and neutron diffraction measurements indicate long-range antiferromagnetic ordering below TN=4 K in the 2D, S=1/2 Heisenberg antiferromagnet K2V3O8. The ordered state exhibits ``weak ferromagnetism'' and novel, field-induced…

Strongly Correlated Electrons · Physics 2009-10-31 M. D. Lumsden , B. C. Sales , D. Mandrus , S. E. Nagler , J. R. Thompson

The nature of the interaction between ultracold atoms with a large orbital and spin angular momentum has attracted considerable attention. It was suggested that such interactions can lead to the realization of exotic states of highly…

Quantum Physics · Physics 2017-09-13 Svetlana Kotochigova , Alexander Petrov

The coupling between two ferromagnets separated by a superconductor has been mostly investigated for the case of Cooper pairs with spin-singlet symmetry. Here, we consider a spin-triplet superconductor with chiral pairing. By full…

Superconductivity · Physics 2024-08-20 Alfonso Romano , Canio Noce , Mario Cuoco

It is demonstrated that the magnetic interactions can be drastically different for nano-sized systems compared to those of bulk or surfaces. Using a real-space formalism we have developed a method to calculate non-collinear magnetization…

Excitons in anisotropic two-dimensional (2D) materials, defined by direction-dependent effective masses, are of pronounced interest for their roles in excitonic and magneto-optical phenomena. A perpendicular magnetic field complicates the…

Mesoscale and Nanoscale Physics · Physics 2026-04-07 Dang-Khoa D. Le , Hoang-Viet Le , Dai-Nam Le , Duy-Anh P. Nguyen , Thanh-Son Nguyen , Ngoc-Tram D. Hoang , Van-Hoang Le

Recent interest in monolayer materials motivated a search for two-dimensional ferromagnets with sizable spin-orbit coupling. Magnetic anisotropy of exchange Hamiltonian, induced by spin-orbit coupling, may not only stabilize long-range…

Strongly Correlated Electrons · Physics 2025-08-08 Kaushal K. Kesharpu , Pavel A. Maksimov

Including the orbital off-diagonal spin and charge condensates in the self consistent determination of magnetic order within a realistic three-orbital model for the $4d^4$ compound $\rm Ca_2 Ru O_4$, reveals a host of novel features…

Strongly Correlated Electrons · Physics 2021-07-05 Shubhajyoti Mohapatra , Avinash Singh

The antiferromagnetic insulating cuprate Ba$_3$Cu$_2$O$_4$Cl$_2$ contains folded CuO$_2$ chains with four magnetic copper ions ($S=1/2$) per unit cell. An underlying multiorbital Hubbard model is formulated and the superexchange theory is…

Strongly Correlated Electrons · Physics 2009-10-31 V. Yushankhai , M. Wolf , K. -H. Mueller , R. Hayn , H. Rosner