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We have established a quantum antiferromagnetic Heisenberg-Ising model on a spin-1/2 pyrochlore edge-shared ladder with Heisenberg intra-rung and Ising inter-rung interactions as a perspicuous candidate to exhibit magnetization mid and zero…

Quantum Physics · Physics 2017-01-13 A. Sadrolashrafi , N. S. Ananikian , L. N. Ananikyan

We study the spin-3/2 Heisenberg model including easy-plane and exchange anisotropies in one and two dimensions. In the Ising limit, when the off-diagonal exchange interaction J is zero, the phase diagram in magnetic field is characterized…

Strongly Correlated Electrons · Physics 2011-12-02 Judit Romhanyi , Frank Pollmann , Karlo Penc

Frustrated quantum spin systems exhibit exotic physics induced by external magnetic field with anisotropic interactions. Here, we study the effect of non-uniform Dzyaloshinskii-Moriya (DM) interactions on a quasi-two-dimensional…

Quantum Gases · Physics 2020-02-26 Tianqi Chen , Chu Guo , Pinaki Sengupta , Dario Poletti

Motivated by the rapid experimental progress on the rare-earth Shastry-Sutherland lattice magnets, we propose a generic effective spin model that describes interacting non-Kramers local moments on the Shastry-Sutherland lattice. We point…

Strongly Correlated Electrons · Physics 2025-07-14 Guijing Duan , Rong Yu , Changle Liu

An exact analytical solution of the ground state problem of the isotropic classical Heisenberg model on the Shastry-Sutherland lattice in external magnetic field $H$ is found for arbitrary ratio of diagonal to edge exchange constants…

Strongly Correlated Electrons · Physics 2013-08-06 Alexei Grechnev

Motivated by recent experiments on TmB4 (arXiv:0712.1537), we examine the phase diagram of the Shastry-Sutherland antiferromagnet in an applied magnetic field in the limit of strong Ising anisotropy. In classical Ising limit, we demonstrate…

Strongly Correlated Electrons · Physics 2009-04-21 Fangzhou Liu , Subir Sachdev

The one dimensional $S=1/2$ Heisenberg model with dimerization ($1-j$) and quadrumerization ($\delta$) in the magnetic field is studied by means of the numerical exact diagonalization of finite size systems and the conformal field theory.…

Statistical Mechanics · Physics 2009-10-31 Wei Chen , Kazuo Hida , Hiroki Nakano

We study the magnetization process in two-dimensional S=1/2 spin systems, to discuss the appearance of a plateau structure. The following three cases are considered: (1) the Heisenberg antiferromagnet and multiple-spin exchange model on the…

Strongly Correlated Electrons · Physics 2009-10-31 Tsutomu Momoi , Keisuke Totsuka

Starting from an antiferromagnetic Heisenberg Hamiltonian for the fifteen spin-1/2 ions in V_15, we construct an effective spin Hamiltonian involving eight low-lying states (spin-1/2 and spin-3/2) coupled to a phonon bath. We numerically…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Indranil Rudra , S. Ramasesha , Diptiman Sen

We explore the field induced magnetic phases of an $S=1$ $XXZ$ model with single-ion anisotropy and large Ising-like anisotropy on a Shastry Sutherland lattice over a wide range of Hamiltonian parameters and applied magnetic field. The…

Strongly Correlated Electrons · Physics 2014-06-24 Lei Su , Keola Wierschem , Pinaki Sengupta

The antiferromagnetic Heisenberg model on the frustrated Shastry-Sutherland lattice is studied by a mapping onto spinless fermions carrying one quantum of statistical flux. Using a mean-field approximation these fermions populate the bands…

Strongly Correlated Electrons · Physics 2009-11-07 G. Misguich , Th. Jolicoeur , S. M. Girvin

Using density matrix renormalization group (DMRG) and perturbative continuous unitary transformations (PCUTs), we study the magnetization process in a magnetic field for all coupling strengths of a quasi-1D version of the 2D…

Other Condensed Matter · Physics 2011-06-22 Salvatore R. Manmana , Jean-David Picon , Kai P. Schmidt , Frédéric Mila

We show that the low-energy physics of the spin-tube model in presence of a critical magnetic field can be described by a broken SU(3) spin chain. Using the Lieb-Schultz-Mattis Theorem we characterize the possible magnetization plateaus and…

Strongly Correlated Electrons · Physics 2009-10-31 R. Citro , E. Orignac , N. Andrei , C. Itoi , S. Qin

We study the finite-temperature transition to the $m=1/2$ magnetization plateau in a model of interacting $S=1/2$ spins with longer range interactions and strong exchange anisotropy on the geometrically frustrated Shastry-Sutherland…

Strongly Correlated Electrons · Physics 2015-05-20 T. Suzuki , P. Sengupta , Y. Tomita , N. Kawashima

The one dimensional (1D) spin-1/2 Heisenberg-Ising model, a prototype quantum many-body system, has been intensively studied for many years. In this review, after a short introduction on some basic concepts of group theory for the…

Strongly Correlated Electrons · Physics 2023-01-18 Jiahao Yang , Xiao Wang , Jianda Wu

We study the behavior of magnetization curve as a function of magnetic field in the immediate vicinity of the magnetization plateaus of 1D electron systems within the bosonization formalism. First we discuss the plateau that is formed at…

Strongly Correlated Electrons · Physics 2015-05-13 Temo Vekua

The ground state, the entropy and the magnetic Gr\"uneisen parameter of the antiferromagnetic spin-1/2 Ising-Heisenberg model on a double sawtooth ladder are rigorously investigated using the classical transfer-matrix technique. The model…

Statistical Mechanics · Physics 2025-10-07 Hamid Arian Zad , Vadim Ohanyan , Azam Zoshki , Jozef Strečka

Magnetic properties of the spin-1/2 XXZ Heisenberg cuboctahedron are examined using exact numerical diagonalization depending on a relative strength of the exchange anisotropy. While the Ising cuboctahedron exhibits in a low-temperature…

Statistical Mechanics · Physics 2018-01-26 K. Karlova , J. Strecka

The ground state and zero-temperature magnetization process of the spin-1/2 Ising-Heisenberg model on two-dimensional triangles-in-triangles lattices is exactly calculated using eigenstates of the smallest commuting spin clusters. Our…

Statistical Mechanics · Physics 2015-06-12 Jana Cisarova , Frederic Michaud , Frederic Mila , Jozef Strecka

The standard Metropolis algorithm and the parallel tempering method are used to examine magnetization processes in the Ising model with the long-range RKKY interaction on the Shastry-Sutherland lattice. It is shown that the Ising model with…

Statistical Mechanics · Physics 2019-10-02 Lubomira Regeciova , Pavol Farkasovsky