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The exact results for thermodynamical properties of one-dimensional spin-1/2 isotropic XY model with Dzyaloshinskii-Moriya interaction in random lorentzian transverse field are obtained. This permits to discuss some approximate methods of…

Statistical Mechanics · Physics 2008-02-03 O. V. Derzhko , T. M. Verkholyak

The anisotropic Heisenberg two-spin-1/2 model in an inhomogeneous magnetic field with both antisymmetric Dzyaloshinsky-Moriya and symmetric Kaplan-Shekhtman-Entin-Wohlman-Aharony cross interactions is considered at thermal equilibrium.…

Quantum Physics · Physics 2021-03-02 M. A. Yurischev

We study the 1D ferromagnetic Ising (spin-1/2) model with the Dzyaloshinskii-Moriya (DM) interaction. We analyze the low energy excitation spectrum and the ground state magnetic phase diagram using the Lanczos method. The DM…

Strongly Correlated Electrons · Physics 2011-10-04 M. R. Soltani , S. Mahdavifar , Alireza Akbari , A. A. Masoudi

Jordan-Wigner transformation and Bogolyubov transformation are the main steps of the diagonalization of Hamiltonian and paly an important role in the statistical mechanics calculations for one-dimensional Heisenberg spin chain model. Many…

Quantum Physics · Physics 2009-05-13 Chuan-Jia Shan , Wei-Wen Cheng , Ji-Bing Liu , Tang-Kun Liu , Yan-Xia Huang , Hong Li

The spin-1/2 anisotropic Heisenberg model with antiferromagnetic exchange interactions in the presence of a external magnetic field and a Dzyaloshinskii-Moriya interaction is studied by employing the usual mean-field approximation. The…

Statistical Mechanics · Physics 2018-05-23 Walter E. F. Parente , J. T. M. Pacobahyba , Minos A. Neto , Ijanílio G. Araújo , J. A. Plascak

We have investigated the ground state phase diagram of the 1D AF spin-1/2 Heisenberg model with the staggered Dzyaloshinskii-Moriya (DM) interaction in an external uniform magnetic field $H$. We have used the exact diagonalization…

Strongly Correlated Electrons · Physics 2009-11-13 S. Mahdavifar , M. R. Soltani , A. A. Masoudi

Motzkin chain is a model of nearest-neighbor interacting quantum $s=1$ spins with open boundary conditions. It is known that it has a unique ground state which can be viewed as a sum of Motzkin paths. We consider the case of periodic…

Mathematical Physics · Physics 2025-05-27 Andrei G. Pronko

We consider a simple integrable model of a spin chain exhibiting the Magnetoelectric Effect (MEE). Starting from the periodic S=1/2 XXZ-chain with Dzyaloshinskii-Moriya terms, which we consider as a local electric polarization in the spirit…

Strongly Correlated Electrons · Physics 2013-02-18 Michael Brockmann , Andreas Klümper , Vadim Ohanyan

A spin-wave theory that includes the antisymmetric Dzyaloshinskii-Moriya exchange interactions and long-range dipole-dipole interactions is presented for finite-length ferromagnetic spin chains. It is found that three different physical…

Mesoscale and Nanoscale Physics · Physics 2024-05-03 Bushra Hussain , Michael Cottam

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

By introducing biquadratic together with usual bilinear ferromagnetic nearest neighbor exchange interaction in a square lattice, we find that the energy of the spin-wave mode is minimized at a finite wavevector for a vanishingly small…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Sandip Bera , Sudhansu S. Mandal

We study the interplay of electric and magnetic order in the one dimensional Heisenberg spin-1/2 XXZ chain with large Ising anisotropy in the presence of the Dzyaloshinskii-Moriya (D-M) interaction and with longitudinal and transverse…

Strongly Correlated Electrons · Physics 2018-02-22 Pradeep Thakur , P. Durganandini

Dzyaloshinskii-Moriya (DM) interaction in the paramagnetic state leads to the incommensurate spin fluctuations with incommensurate vector proportional to the relative strength of the DM interaction. We show that the DM interaction leads to…

Statistical Mechanics · Physics 2009-10-31 D. N. Aristov , S. V. Maleyev

Synthetic spin-orbit coupling in cold atoms couples the pseudo-spin and spatial degrees of freedom, and therefore the inherent spin symmetry of the system plays an important role. In systems of two pseudo-spin degrees, two particles contain…

Quantum Gases · Physics 2025-02-05 Ayaka Usui , Abel Rojo-Francàs , James Schloss , Bruno Juliá-Díaz

We propose a new type of Dzyaloshinskii-Moriya (DM) interactions which act on high-rank multipolar moments such as quadrupolar and octupolar moments. Here we consider 5d1 systems with broken spatial inversion symmetry, where the interplay…

Strongly Correlated Electrons · Physics 2020-06-11 Masashi Hosoi , Tomonari Mizoguchi , Taichi Hinokihara , Hiroyasu Matsuura , Masao Ogata

We extend the consideration of the spin-1/2 transverse XY chain with correlated Lorentzian disorder (Phys. Rev. B {\bf 55,} 14298 (1997)) for the case of additional Dzyaloshinskii-Moriya interspin interaction. It is shown how the averaged…

Condensed Matter · Physics 2009-10-31 Oleg Derzhko , Johannes Richter

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 spin-orbit interaction in semiconductors is shown to result in an anisotropic contribution into the exchange Hamiltonian of a pair of localized conduction-band electrons. The anisotropic exchange interaction exists in semiconductor…

Condensed Matter · Physics 2009-10-31 K. V. Kavokin

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel

Magnetic interactions underpin a plethora of magnetic states of matter, hence playing a central role both in fundamental physics and for future spintronic and quantum computation devices. The Dzyaloshinskii-Moriya interaction, being chiral…

Mesoscale and Nanoscale Physics · Physics 2019-08-19 Sascha Brinker , Manuel dos Santos Dias , Samir Lounis