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We consider spin-$\frac{1}{2}$ model on the honeycomb lattice in the presence of weak magnetic field $h\ll J$. Such a perturbation treated in the second order over $h$ leads to the power-law decay of irreducible spin correlation function…

Strongly Correlated Electrons · Physics 2016-10-26 A. V. Lunkin , K. S. Tikhonov , M. V. Feigel'man

We study an extended model to describe the spin-lattice coupling, incorporating individual vibrations of bonds and atomic sites alongside distance-dependent exchange interactions. The proposed spin Hamiltonian can be effectively considered…

Strongly Correlated Electrons · Physics 2026-03-10 Masaki Gen , Hidemaro Suwa , Shusaku Imajo , Chao Dong , Hiroaki Ueda , Makoto Tachibana , Akihiko Ikeda , Koichi Kindo , Yoshimitsu Kohama

Nearest-neighbor spin correlations are considered near the surface of a semi-infinite spin-$\frac12$ Heisenberg antiferromagnet on a simple cubic lattice. In the spin-wave approximation, the excitation spectrum of this model involves bulk…

Strongly Correlated Electrons · Physics 2015-05-13 N. Voropajeva , A. Sherman

Majorana fermion representations of the algebra associated with spin, charge, and flavor currents have been used to transform the two-channel Kondo Hamiltonian. Using a path integral formulation, we derive a reduced effective action with…

Strongly Correlated Electrons · Physics 2009-10-31 Guang-Ming Zhang , Lu Yu

We study interaction between two magnetic impurities on top of a two dimensional insulator in the presence of chiral phonons by second-order perturbation theory. We show that this exchange interaction arises from angular momentum of phonons…

Mesoscale and Nanoscale Physics · Physics 2025-10-13 Takehito Yokoyama

A microscopic theory of spin excitations in strongly-correlated electronic systems within the t-J model is discussed. An exact representation for the dynamic spin susceptibility is derived. In the normal state, the excitation spectrum…

Strongly Correlated Electrons · Physics 2011-11-01 Nikolay Plakida

The two-dimensional Heisenberg spin-glass model is investigated by means of a semiclassical expansion around classical states. At leading order, we obtain an effective quadratic spin-wave Hamiltonian and study the localization properties of…

Disordered Systems and Neural Networks · Physics 2026-03-24 Giacomo Bracci-Testasecca , Jacopo Niedda , Aldo Coraggio , Roderich Moessner , Antonello Scardicchio

We theoretically study the resonant phenomenon in a spin-1 Bose-Einstein condensate periodically driven by a quadratic Zeeman coupling. This phenomenon is closely related to the Shapiro steps in superconducting Josephson junctions, and the…

Quantum Gases · Physics 2021-07-22 Yuya Imaeda , Kazuya Fujimoto , Yuki Kawaguchi

We consider a model of Raman scattering for a two--dimensional $S=1/2$ Heisenberg Anti-Ferromagnet which includes a {\it dynamical} spin--phonon interaction. We observe a broadening of the line shape due to increased coupling with excited…

Condensed Matter · Physics 2009-10-28 Matthew J. Reilly , A. G. Rojo

A new integrable spin chain of the Haldane-Shastry type is introduced. It is interpreted as the inverse-square interacting spin chain with a {\it reflecting end}. The lattice points of this model consist of the square roots of the zeros of…

Condensed Matter · Physics 2009-10-28 Takashi Yamamoto , Osamu Tsuchiya

Spin excitation spectrum is studied in the double-exchange model with randomness. Applying the spin wave approximation and the spectral function analysis, we examine excitation energy and linewidth using analytical as well as numerical…

Strongly Correlated Electrons · Physics 2009-11-07 Yukitoshi Motome , Nobuo Furukawa

We use kinetic theory and the thermodynamic Bethe ansatz to derive the hydrodynamics of spin transport in the Haldane-Shastry chain. We obtain analytical expressions for relaxation from weak-domain-wall initial conditions and corresponding…

Statistical Mechanics · Physics 2024-12-03 Vir B. Bulchandani , Hyunsoo Ha

Modifying the conventional antiferromagnetic spin-wave theory which is plagued by the difficulty of the zero-field sublattice magnetizations diverging in one dimension, we describe magnetic properties of Haldane-gap antiferromagnets. The…

Statistical Mechanics · Physics 2009-11-07 Shoji Yamamoto , Hiromitsu Hori

The spin dynamics of atomic Bose-Einstein condensates confined in a one-dimensional optical lattice is studied. The condensates at each lattice site behave like spin magnets that can interact with each other through both the light-induced…

Soft Condensed Matter · Physics 2009-11-07 Weiping Zhang , Han Pu , Chris Search , Pierre Meystre

We propose a definition for a creation operator for the spinon, the fractional statistics elementary excitation of the Haldane-Shastry model, and give numerical and analytical evidence that our operator creates a single spinon with nearly…

Strongly Correlated Electrons · Physics 2008-02-03 S. P. Strong , J. C. Talstra

We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins $S\geq 1/2$. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial…

Mathematical Physics · Physics 2019-08-13 Michele Correggi , Alessandro Giuliani , Robert Seiringer

We investigate the arguably simplest $SU(2)$-invariant wave functions capable of accounting for spin-liquid behavior, expressed in terms of nearest-neighbor valence-bond states on the square lattice and characterized by different…

Strongly Correlated Electrons · Physics 2010-11-17 A. Fabricio Albuquerque , Fabien Alet

We study the impact of Hund's-rule coupling on orbital excitations, as e.g. measured in inelastic resonant x-ray scattering. We find that the interpretation in terms of spin-orbit separation, which has been derived for one-dimensional…

Strongly Correlated Electrons · Physics 2018-08-15 Jonas Heverhagen , Maria Daghofer

We consider singular self-adjoint extensions for one-dimensional Schr\"{o}dinger operator for two-component wave function within the framework of the distribution theory for discontinuous test functions…

Mathematical Physics · Physics 2019-08-07 Vladimir Kulinskii , Dmitry Panchenko

We study the effect of spin-orbit interaction and in-plane effective magnetic field on the conductance of a quasi-one-dimensional ballistic electron system. The effective magnetic field includes the externally applied field, as well as the…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Yuriy V. Pershin , James A. Nesteroff , Vladimir Privman