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Related papers: Partial order from disorder in a classical pyrochl…

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In this paper we study the frustrated J1-J2 quantum Heisenberg model on the square lattice for J2 > 2J1, in a magnetic field. In this regime the classical system is known to have a degenerate manifold of lowest energy configurations, where…

Strongly Correlated Electrons · Physics 2015-07-09 C. A. Lamas , D. C. Cabra , P. Pujol , G. L. Rossini

We apply the plaquette renormalization scheme of tensor network states [Phys. Rev. E, 83, 056703 (2011)] to study the spin-1/2 frustrated Heisenberg J1-J2 model on a L*L square lattice with L = 8, 16 and 32. By treating tensor elements as…

Strongly Correlated Electrons · Physics 2016-11-25 Ji-Feng Yu , Ying-Jer Kao

The ordering property of the classical pyrochlore Heisenberg antiferromagnet with the ferromagnetic next-nearest-neighbor interaction is investigated by means of a Monte Carlo simulation. The model is found to exhibit a first-order…

Statistical Mechanics · Physics 2015-06-25 Daisuke Tsuneishi , Masayuki Ioki , Hikaru Kawamura

We study the S>1 nearest-neighbor Heisenberg model with a ferromagnetic interaction J and a large non-collinear <111> easy-axis anisotropy D on a pyrochlore lattice. For a finite D>>|J|, the low-energy physics is described by a < 111 >…

Statistical Mechanics · Physics 2010-10-29 Yang-Zhi Chou , Ying-Jer Kao

We investigate the ground-state magnetic order of the spin-1/2 J1-J2 Heisenberg model on the square lattice with ferromagnetic nearest-neighbor exchange J1<0 and frustrating antiferromagnetic next-nearest neighbor exchange J2>0. We use the…

Strongly Correlated Electrons · Physics 2015-05-18 J. Richter , R. Darradi , J. Schulenburg , D. J. J. Farnell , H. Rosner

We use linked-cluster series expansions, both at T=0 and high temperature, to analyse the phase structure of the spin-$\half$ Heisenberg antiferromagnet with competing first and second-neighbor interactions on the 3-dimensional…

Condensed Matter · Physics 2009-11-10 Jaan Oitmaa , Weihong Zheng

We study the occurrence of symmetry breakings, at zero and finite temperatures, in the J_1-J_3 antiferromagnetic Heisenberg model on the square lattice using Schwinger boson mean field theory. For spin-1/2 the ground state breaks always the…

Strongly Correlated Electrons · Physics 2015-06-17 A. Mezio , C. N. Sposetti , L. O. Manuel , A. E. Trumper

We study the nature of a low-temperature phase in the frustrated honeycomb-lattice Ising model with first- and second-neighbor antiferromagnetic (AF) interactions, $J_1$ and $J_2$, respectively, for $R = J_2/J_1 > 1/4$. It is known that for…

Statistical Mechanics · Physics 2020-07-08 M. Žukovič , M. Borovský , A. Bobák , T. Balcerzak , K. Szałowski

Using state of the art tensor network computations combined with spin wave theory, we compute the finite temperature phase diagram of the spin 1/2 $J_1-J_2$ Heisenberg model on the square lattice with ferromagnetic $J_1 < 0$ and…

Strongly Correlated Electrons · Physics 2023-10-17 Olivier Gauthé , Frédéric Mila

Motivated by recent experimental and theoretical progress on the Er2Ti2O7 pyrochlore XY antiferromagnet, we study the problem of quantum order-by-disorder in pyrochlore XY systems. We consider the most general nearest-neighbor pseudo…

Strongly Correlated Electrons · Physics 2013-11-15 Anson W. C. Wong , Zhihao Hao , Michel J. P. Gingras

Motivated by recent experiments on an S=1/2 antiferromagnet on the kagome lattice, we investigate the Heisenberg J1-J2 model with ferromagnetic J1 and antiferromagnetic J2. Classically the ground state displays Neel long range order with 12…

Strongly Correlated Electrons · Physics 2007-05-23 Jean-Christophe Domenge , Philippe Sindzingre , Claire Lhuillier , Laurent Pierre

We investigate the Heisenberg model on a decorated square (Fisher) lattice in the presence of first-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange couplings, with antiferromagnetic $J_{1}$. The classical…

Strongly Correlated Electrons · Physics 2020-12-08 Atanu Maity , Yasir Iqbal , Saptarshi Mandal

We study the zero-temperature phase diagram and the low-lying excitations of a square-lattice spin-half Heisenberg antiferromagnet with two types of regularly distributed nearest-neighbour exchange bonds (J>0 (antiferromagnetic) and J'>0,…

Strongly Correlated Electrons · Physics 2009-10-31 Sven E. Krüger , Johannes Richter , Jörg Schulenburg , Damian J. J. Farnell , Raymond F. Bishop

We present the magnetic phase diagram of a spin-1/2 chain antiferromagnet Sr$_2$CuO$_3$ studied by ultrasound phase-sensitive detection technique. We observe an enhanced effect of external magnetic field on the ordering temperature of the…

Strongly Correlated Electrons · Physics 2020-05-20 E. G. Sergeicheva , S. S. Sosin , D. I. Gorbunov , S. Zherlitsyn , G. Gu , I. Zaliznyak

Using the coupled cluster method we study the zero-temperature phase diagram of a spin-half Heisenberg antiferromagnet (HAF), the so-called $J_{1}$--$J_{2}'$ model, defined on an anisotropic 2D lattice. With respect to an underlying…

Strongly Correlated Electrons · Physics 2010-05-07 R. F. Bishop , P. H. Y. Li , D. J. J. Farnell , C. E. Campbell

Pyrochlore magnets are a paradigmatic example of three-dimensional frustrated systems and provide an excellent platform for studying a variety of exotic many-body phenomena, including spin liquids, nematic phases, fragmentation, and order…

Strongly Correlated Electrons · Physics 2025-10-29 Niccolò Francini , Lukas Schmidt , Lukas Janssen , Daniel Lozano-Gómez

We study the ground state properties of antiferromagnetic $J_1$-$J_2$ chains with half-integer spins ranging from $S=\frac{3}{2}$ to $S=\frac{11}{2}$ using the density-matrix renormalization group method. We map out the ground-state phase…

Strongly Correlated Electrons · Physics 2024-10-14 Sahinur Reja , Satoshi Nishimoto

The classical bilinear-biquadratic nearest-neighbor Heisenberg antiferromagnet on the pyrochlore lattice does not exhibit conventional Neel-type magnetic order at any temperature or magnetic field. Instead spin correlations decay…

Strongly Correlated Electrons · Physics 2010-05-18 Nic Shannon , Karlo Penc , Yukitoshi Motome

We show that the S=1/2 pyrochlore lattice with both Heisenberg and antisymmetric, Dzyaloshinsky-Moriya (DM) interactions, can order antiferromagnetically into a state with chiral symmetry, dictated by the distribution of the DM…

Strongly Correlated Electrons · Physics 2009-11-10 Valeri N. Kotov , Maged Elhajal , Michael E. Zhitomirsky , Frederic Mila

We investigate the phase diagram of the anisotropic spin-1/2 triangular lattice antiferromagnet, with interchain diagonal exchange J' much weaker than the intrachain exchange J. We find that fluctuations lead to a competition between…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents