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We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain (XXZ model) in the gapped antiferromagnetic regime ($\Delta > 1$). Specializing to the case of zero field, we use two independent approaches…

Strongly Correlated Electrons · Physics 2009-11-13 J. -S. Caux , J. Mossel , I. Pérez Castillo

We study the zero-temperature phase diagram of the 2D quantum $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ spin-1/2 anisotropic Heisenberg model on the square lattice. In particular, the effects of the anisotropy $\Delta$ on the $z$-aligned N\'{e}el and…

Strongly Correlated Electrons · Physics 2008-08-14 R. F. Bishop , P. H. Y. Li , R. Darradi , J. Schulenburg , J. Richter

We present a dynamical mean-field study of antiferromagnetic magnons in one-, two- and three-orbital Hubbard model of square and bcc cubic lattice at intermediate coupling strength. Weinvestigate the effect of anisotropy introduced by an…

Strongly Correlated Electrons · Physics 2021-09-10 A. Niyazi , D. Geffroy , J. Kunes

Magnetization processes of the spin-1/2 antiferromagnetic $XXZ$ model in two and three spatial dimensions are studied using quantum Monte Carlo method based on stochastic series expansions. Recently developed operator-loop algorithm enables…

Strongly Correlated Electrons · Physics 2009-11-07 Seiji Yunoki

We discuss the critical behavior of the spin-(1,1/2) Heisenberg ferrimagnetic chain in a magnetic field, whose magnetization curve exhibits a plateau at a third of the full magnetization. A bond alternation stabilizes the massive state,…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto , Toru Sakai

We investigate the phase diagram of an anisotropic ferrimagnet spin-(1/2, 1) in the presence of a non-commuting (transverse) magnetic field. We find a magnetization plateau for the isotropic case while there is no plateau for the…

Strongly Correlated Electrons · Physics 2011-09-12 A. Langari , J. Abouie , M. Z. Asadzadeh , M. Rezai

The ground-state phase diagram is mapped out for an alternative anisotropic extension of quantum spin-1 ferromagnetic biquadratic model, which accommodates twelve distinct phases: three degenerate fractal phases, six Luttinger liquid phases…

Strongly Correlated Electrons · Physics 2023-11-02 Yan-Wei Dai , Qian-Qian Shi , Xi-Hao Chen , Huan-Qiang Zhou

The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the…

Statistical Mechanics · Physics 2009-10-28 F. C. Alcaraz , A. L. Malvezzi

We investigate groundstate energies and magnetization curves in the one dimensional XXZ-model with next to nearest neighbour coupling $\alpha>0$ and anisotropy $\Delta$ ($-1 \le \Delta \le 1$) at T=0. In between the familiar ferro- and…

Condensed Matter · Physics 2016-08-15 C. Gerhardt , K. -H. Mütter , H. Kröger

We study a spin-one Heisenberg model with exchange interaction, J, uniaxial single-ion exchange anisotropy, D, and Zeeman coupling to a magnetic field, B, parallel to the symmetry axis. We com- pute the (D/J,B/J) quantum phase diagram for…

Strongly Correlated Electrons · Physics 2012-12-04 Keola Wierschem , Yasuyuki Kato , Yusuke Nishida , Cristian D. Batista , Pinaki Sengupta

The spin-1/2 antiferromagnetic zig-zag ladder is studied by exact diagonalization of small systems in the regime of weak inter-chain coupling. A gapless phase with quasi long-range spiral correlations has been predicted to occur in this…

Strongly Correlated Electrons · Physics 2009-11-07 V. R. Vieira , N. Guihery , J. P. Rodriguez , P. D. Sacramento

We investigate analytically and numerically the ground and metastable states for easy-plane Heisenberg magnets with single-ion surface anisotropy and disk geometry. The configurations with two half-vortices at the opposite points of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. E. Kireev , B. A. Ivanov

Making use of infinite projected entangled pair states, we investigate the ground state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice. In agreement with previous studies, we…

Strongly Correlated Electrons · Physics 2018-06-28 Ido Niesen , Philippe Corboz

We report of a theoretical model for calculating the H-T phase diagrams of a rare-earth ferrimagnet, taking into account anisotropies originated by both magnetization sublattices' and by the surface. The possibility of an exchange spring…

Applied Physics · Physics 2025-08-05 V. V. Yurlov , K. A. Zvezdin , A. K. Zvezdin

The magnetization process of the spin-1/2 antiferromagnetic XXZ model with Ising-like anisotropy in the ground state is investigated. We show numerically that the Ising-like XXZ models on square and cubic lattices show a first-order phase…

Statistical Mechanics · Physics 2016-08-31 Masanori Kohno , Minoru Takahashi

We examine the thermal properties of the spin-1 Heisenberg antiferromagnet on the honeycomb lattice in the presence of an easy-plane single-ion anisotropy as well as the effects of an additional weak in-plane easy-axis anisotropy. In…

Strongly Correlated Electrons · Physics 2022-03-17 Nils Caci , Lukas Weber , Stefan Wessel

We investigate the critical scaling of the spin-1/2 antiferromagnet on the square lattice in the easy-plane (XXZ) regime, via numerical measurements of the entanglement entropy constructed from the zeroes of a polynomial ring. We relate…

Statistical Mechanics · Physics 2009-08-22 P. R. Crompton

We study systems of classical magnetic dipoles on simple cubic lattices with dipolar and antiferromagnetic exchange interactions. By analysis and Monte Carlo (MC) simulations, we find how the antiferromagnetic phases vary with uniaxial and…

Statistical Mechanics · Physics 2007-05-23 J. F. Fernandez , J. J. Alonso

Using $\rm Er_2Ti_2O_7$ as a motivation, we investigate finite-field properties of $XY$ pyrochlore antiferromagnets. In addition to a fluctuation-induced six-fold anisotropy present in zero field, an external magnetic field induces a…

Strongly Correlated Electrons · Physics 2016-06-20 V. S. Maryasin , M. E. Zhitomirsky , R. Moessner

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi