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The ground state of an S=1/2 antiferromagnetic Heisenberg model on a spatially anisotropic triangular lattice, which is an effective model of Mott insulators on a triangular layer of organic charge transfer salts or Cs2CuCl4, is numerically…

Strongly Correlated Electrons · Physics 2012-11-19 Kenji Harada

We investigate the spin $S=1/2$ Heisenberg model on the body centered cubic lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange interactions.…

The spin-1/2 Heisenberg orthogonal-dimer chain is considered within the perturbative strong-coupling approach, which is developed from the exactly solved spin-1/2 Ising-Heisenberg orthogonal-dimer chain with the Heisenberg intradimer and…

Strongly Correlated Electrons · Physics 2016-10-19 Taras Verkholyak , Jozef Strecka

The J1-J2 square lattice Heisenberg model with spin S=1/2 has three phases with long-range magnetic order and two unconventionally ordered phases depending on the ratio of exchange constants. It describes a number of recently found layered…

Strongly Correlated Electrons · Physics 2009-11-13 P. Thalmeier , M. E. Zhitomirsky , B. Schmidt , N. Shannon

We present a detailed investigation of the XXZ Heisenberg model for spin-$1/2$ and spin-$1$ systems on square and honeycomb lattices. Utilizing the density-matrix renormalization group (DMRG) method, complemented by Spiral Boundary…

Strongly Correlated Electrons · Physics 2024-10-14 Masahiro Kadosawa , Masaaki Nakamura , Yukinori Ohta , Satoshi Nishimoto

We study the $S=1/2$ Heisenberg model on the triangular lattice with nearest neighbor interaction $J_1$ and next nearest neighbor interaction $J_2$ with the density matrix renormalization group. We are able to study long open cylinders with…

Strongly Correlated Electrons · Physics 2015-07-08 Zhenyue Zhu , Steven R. White

We study the anisotropic Heisenberg (XYZ) spin-1/2 chain placed in a magnetic field pointing along the x-axis. We use bosonization and a renormalization group analysis to show that the model has a non-trivial fixed point at a certain value…

Strongly Correlated Electrons · Physics 2009-11-10 Amit Dutta , Diptiman Sen

We use density matrix renormalization group (DMRG) algorithm to study the phase diagram of the spin-1/2 Heisenberg model on honeycomb lattice with first (J1) and second (J2) neighbor antiferromagnetic interactions, where a Z2 spin liquid…

Strongly Correlated Electrons · Physics 2013-11-13 Shou-Shu Gong , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

We study Heisenberg antiferromagnets on a diamond-like decorated square lattice perturbed by further neighbor couplings. The second-order effective Hamiltonian is calculated and the resultant Hamiltonian is found to be a square-lattice…

Statistical Mechanics · Physics 2016-08-09 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Nic Shannon , Tsutomu Momoi

We investigate the quantum phases of a frustrated antiferromagnetic Heisenberg spin-1/2 model Hamiltonian on a Kagome-strip chain (KSC), a one-dimensional analogue of the Kagome lattice, and construct its phase diagram in an extended…

Strongly Correlated Electrons · Physics 2024-09-20 Sayan Ghosh , Rajiv R. P. Singh , Manoranjan Kumar

We investigate the ground state structure of the Heisenberg model on the 1/5-depleted square lattice for arbitrary values of the first- and second-neighbor exchange couplings. By using a mean-field Schwinger-boson approach we present a…

Statistical Mechanics · Physics 2009-10-31 L. O. Manuel , M. I. Micheletti , A. E. Trumper , H. A. Ceccatto

Puzzled by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice as suggested in \cite{Wenzel08}, we re-investigate the phase transition of this model induced…

Strongly Correlated Electrons · Physics 2009-11-04 F. -J. Jiang

We consider an exchange model describing two isotropic spin-1/2 Heisenberg antiferromagnets coupled by a quartic term on the square lattice. The model is relevant for systems with orbital degeneracy and strong electron-vibron coupling in…

Strongly Correlated Electrons · Physics 2009-10-31 G. Santoro , S. Sorella , L. Guidoni , A. Parola , E. Tosatti

We study a frustrated spin-$S$ staggered-dimer Heisenberg model on square lattice by using the bond-operator representation for quantum spins, and investigate the emergence of classical magnetic order from the quantum mechanical…

Strongly Correlated Electrons · Physics 2017-07-11 Bimla Danu , Brijesh Kumar

We study the ground state properties of the S=$\frac{1}{2}$ Heisenberg antiferromagnet (HAF) on the triangular lattice with nearest-neighbour ($J$) and next-nearest neighbour ($\alpha J$) couplings. Classically, this system is known to be…

Condensed Matter · Physics 2009-10-22 R. Deutscher , H. U. Everts

We investigate possible quantum ground states as well as the classical limit of a frustrated J1-J2 Heisenberg model on the three-dimensional (3D) hyperhoneycomb lattice. Our study is inspired by the recent discovery of beta-Li2IrO3, where…

Strongly Correlated Electrons · Physics 2014-11-05 SungBin Lee , Jae-Seung Jeong , Kyusung Hwang , Yong Baek Kim

The phase diagram of a frustrated S=1/2 antiferromagnetic spin ladder with additional next-nearest neighbor exchanges, both diagonal and inchain, is studied by a weak-coupling effective field theory approach combined with exact…

Strongly Correlated Electrons · Physics 2007-05-23 Temo Vekua , Andreas Honecker

Spin-S bilayer Heisenberg models (nearest-neighbor square lattice antiferromagnets in each layer, with antiferromagnetic interlayer couplings) are treated using dimer mean-field theory for general S and high-order expansions about the dimer…

Condensed Matter · Physics 2011-01-06 Martin P. Gelfand , Zheng Weihong , C. J. Hamer , J. Oitmaa

Aiming to describe frustrated quantum magnets with non-magnetic singlet ground states, we have extended the Rokhsar-Kivelson (RK) loop-expansion to derive a generalized Quantum Dimer Model containing only connected terms up to arbitrary…

Strongly Correlated Electrons · Physics 2009-12-01 A. Ralko , M. Mambrini , D. Poilblanc