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We present an approach based on a dimer expansion which describes low-energy singlet excitations (singlons) in spin-$\frac12$ Heisenberg antiferromagnet on simple square lattice. An operator ("effective Hamiltonian") is constructed whose…

Strongly Correlated Electrons · Physics 2016-05-18 A. Yu. Aktersky , A. V. Syromyatnikov

We study the low temperature dynamics of the classical Heisenberg antiferromagnet with nearest neighbour interactions on the pyrochlore lattice. We present extensive results for the wavevector and frequency dependence of the dynamical…

Strongly Correlated Electrons · Physics 2009-06-16 P. H. Conlon , J. T. Chalker

With the commutation relations of the spin operators, we first write out the equations of motion of the spin susceptibility and related correlation functions that have a hierarchical structure, then under the "soft cut-off" approximation,…

Strongly Correlated Electrons · Physics 2020-08-25 Yu-Liang Liu

Correlation functions (CFs) of the classical Heisenberg antiferromagnet on the pyrochlore lattice are studied by solving exactly the infinite-component spin-vector model. % As in many Fully Frustrated Lattices, the constraint due to the…

Strongly Correlated Electrons · Physics 2009-11-07 Benjamin Canals , Dmitry Garanin

We consider the one-dimensional Ising-like fully anisotropic S=1/2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excitations in the presence of transverse magnetic field $h_x$. We obtain dynamical spin…

Strongly Correlated Electrons · Physics 2009-11-07 Asimkumar Ghosh

The analysis of the spin wave excitations in two-dimensional isotropic Heisenberg ferromagnet is performed with a single skyrmion in the ground state. We employ the ideas of semiclassical quantization method, duly modified for the use of…

Strongly Correlated Electrons · Physics 2015-12-29 D. N. Aristov , S. S. Kravchenko , A. O. Sorokin

The spin-1/2 Heisenberg antiferromagnet on the frustrated diamond-decorated square lattice is known to feature various zero-field ground-state phases, consisting of extended monomer-dimer and dimer-tetramer ground states as well as a…

Strongly Correlated Electrons · Physics 2023-03-27 Nils Caci , Katarina Karlova , Taras Verkholyak , Jozef Strecka , Stefan Wessel , Andreas Honecker

We study the excitation spectrum of the $S=1/2$ Heisenberg model on the randomly diluted square lattice by analytic continuation of QMC data. At dilution fractions $p=1/16$ and $p=1/8$, the dynamic structure factor $S({\bf q},\omega)$…

Strongly Correlated Electrons · Physics 2025-05-27 Liuyun Dao , Hui Shao , Anders W. Sandvik

We theoretically discuss dynamical properties of spin-1/2 Heisenberg antiferromagnet on the triangular lattice in magnetic field $\bf H$. We use the recently proposed bond-operator theory which operates with quantum states of the whole…

Strongly Correlated Electrons · Physics 2023-05-17 A. V. Syromyatnikov

The S = 1/2 Heisenberg antiferromagnet on the two-dimensional pyramid lattice is studied by the numerical-diagonalization method. This lattice is obtained by the combination of the Lieb lattice and the square lattice. It is known that when…

Strongly Correlated Electrons · Physics 2018-09-03 Toru Sakai , Hiroki Nakano

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

Strongly Correlated Electrons · Physics 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

We study the phase diagram at T=0 of the antiferromagnetic Heisenberg model on the triangular lattice with spatially-anisotropic interactions. For values of the anisotropy very close to J_alpha/J_beta=0.50, conventional spin wave theory…

Statistical Mechanics · Physics 2009-10-31 Adolfo E. Trumper

The spectral properties of the spin-1/2 Heisenberg antiferromagnet on an anisotropic triangular lattice in a magnetic field are investigated using a weak-interchain-coupling approach combined with exact solutions of a chain. Dominant modes…

Strongly Correlated Electrons · Physics 2009-11-05 Masanori Kohno

We present a finite size spin wave calculation on the Heisenberg antiferromagnet on the triangular lattice focusing in particular on the low-energy part of the excitation spectrum. For s=1/2 the good agreement with the exact diagonalization…

Statistical Mechanics · Physics 2009-10-31 Adolfo E. Trumper , Luca Capriotti , Sandro Sorella

We discuss spin-$\frac12$ two-dimensional (2D) Heisenberg antiferromagnet (AF) on a square lattice at T=0 in strong magnetic field H near its saturation value $H_c$. A perturbation approach is proposed to obtain spectrum of magnons with…

Strongly Correlated Electrons · Physics 2009-02-12 A. V. Syromyatnikov

We develop a consistent semiclassical theory of spin dynamics for an isotropic ferromagnet with a spin $ S=1$ taking into consideration both bilinear and biquadratic over spin operators exchange interaction. For such non-Heisenberg magnets,…

Other Condensed Matter · Physics 2009-11-13 B. A. Ivanov , A. Yu. Galkin , R. S. Khymyn , A. Yu. Merkulov

The Heisenberg model for S=1/2 describes the interacting spins of electrons localized on lattice sites due to strong repulsion. It is the simplest strong-coupling model in condensed matter physics with wide-spread applications. Its…

Strongly Correlated Electrons · Physics 2018-01-19 M. Powalski , K. P. Schmidt , G. S. Uhrig

We compute the zero temperature dynamical structure factor $S({\bf q},\omega)$ of the triangular lattice Heisenberg model (TLHM) using a Schwinger boson approach that includes the Gaussian fluctuations ($1/N$ corrections) of the saddle…

Strongly Correlated Electrons · Physics 2018-11-06 E. A. Ghioldi , M. G. Gonzalez , Shang-Shun Zhang , Yoshitomo Kamiya , L. O. Manuel , A. E. Trumper , C. D. Batista

The thermodynamics of the quantum Heisenberg antiferromagnet on a square lattice is revisited through a linearized spin-wave theory which is well defined at any finite temperature. We re-examine in details the temperature dependence of the…

Strongly Correlated Electrons · Physics 2009-12-31 M. M. Liang , Y. H. Su

Several ground state properties of the square-lattice $S=1/2$ Heisenberg antiferromagnet are computed (the energy, order parameter, spin stiffness, spinwave velocity, long-wavelength susceptibility, and staggered susceptibility) using…

Strongly Correlated Electrons · Physics 2026-04-16 Anders W. Sandvik