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The ground state, magnetization scenario and the local bipartite quantum entanglement of a mixed spin-$1/2$ Ising--Heisenberg model in a magnetic field on planar lattices formed by identical corner-sharing bipyramidal plaquettes is examined…

Statistical Mechanics · Physics 2021-12-15 Lucia Gálisová , Michał Kaczor

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella

Long range magnetic ordering in the quasi-one-dimensional random-bond antiferromagnet BaCu$_2$(Si$_{1-x}$Ge$_{x}$)$_2$O$_7$ is studied in $\mu$SR experiments as a function of disorder strength. Compared to the disorder-free parent…

Strongly Correlated Electrons · Physics 2014-12-04 M. Thede , T. Haku , T. Masuda , C. Baines , E. Pomjakushina , G. Dhalenne , A. Revcolevschi , E. Morenzoni , A. Zheludev

The two dimensional Hubbard model in the presence of diagonal and off-diagonal disorder is studied at half filling with a finite temperature quantum Monte Carlo method. Magnetic correlations as well as the electronic compressibility are…

Condensed Matter · Physics 2009-10-28 Martin Ulmke , Richard T. Scalettar

We reconsider the random bond antiferromagnetic spin-1/2 chain for weak disorder and demonstrate the existence of crossover length scale x_W that diverges with decreasing strength of the disorder. Recent DMRG calculations [Phys. Rev. Lett.…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. Laflorencie , H. Rieger

We investigate the properties of S=1/2 Heisenberg clusters with random frustration using exact diagonalizations. This is a model for a quantum spin glass. We show that the average ground state spin is $S \propto \sqrt{N}$, where N is the…

Strongly Correlated Electrons · Physics 2009-02-12 J. Oitmaa , O. P. Sushkov

The ground-state ordering and dynamics of the two-dimensional (2D) S=1/2 frustrated Heisenberg antiferromagnet Cs_2CuCl_4 is explored using neutron scattering in high magnetic fields. We find that the dynamic correlations show a highly…

Strongly Correlated Electrons · Physics 2007-05-23 R. Coldea , D. A. Tennant , A. M. Tsvelik , Z. Tylczynski

We study, within the Schwinger-boson approach, the ground-state structure of two Heisenberg antiferromagnets on the triangular lattice: the J1-J2 model, which includes a next-nearest-neighbor coupling J2, and the spatially-anisotropic…

Statistical Mechanics · Physics 2009-10-31 L. O. Manuel , H. A. Ceccatto

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

The disordered quasi-1D magnet BaCu2SiGeO7 is considered as one of the best physical realizations of the random Heisenberg chain model, which features an irregular distribution of the exchange parameters and whose ground state is predicted…

Strongly Correlated Electrons · Physics 2013-09-02 T. Shiroka , F. Casola , W. Lorenz , A. Zheludev , H. -R. Ott , J. Mesot

This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\'eel type order…

Strongly Correlated Electrons · Physics 2015-05-19 A. Jagannathan

The square lattice spin-1/2 antiferromagnet containing a dilute concentration, $\delta$, of randomly placed ferromagnetic nearest-neighbor bonds is studied at low-temperature via non-linear $\sigma$-model techniques and by exact…

Condensed Matter · Physics 2009-10-22 J. P. Rodriguez , J. Bonca , J. Ferrer

The antiferromagnetic Heisenberg model on a chain with nearest and next nearest neighbor couplings is mapped onto the $SO(3)$ nonlinear sigma model in the continuum limit. In one spatial dimension this model is always in its disordered…

Condensed Matter · Physics 2009-10-22 D. Allen , D. Senechal

The site- and bond-dilution effects of the nonmagnetic ground state of a two-dimensional $S=1/2$ antiferromagnetic Heisenberg model, coupled with the lattice distortions on a square lattice, are investigated by performing quantum Monte…

Strongly Correlated Electrons · Physics 2019-01-25 Chitoshi Yasuda , Shouta Miyara

We present variational results for the ground state of the antiferromagnetic quantum Heisenberg model with frustrating next-nearest-neighbour interactions. The trial wave functions employed are of resonating-valence-bond type, elaborated to…

Strongly Correlated Electrons · Physics 2013-10-24 Xiaoming Zhang , Jin Xu , K. S. D. Beach

We use recently developed strong-coupling expansion methods to study the two-particle spectra for the frustrated alternating Heisenberg model, consisting of an alternating nearest neighbor antiferromagnetic exchange and a uniform second…

Strongly Correlated Electrons · Physics 2008-03-26 Weihong Zheng , C. J. Hamer , R. R. P. Singh , Simon Trebst , Hartmut Monien

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

Quantum Physics · Physics 2024-06-03 Ilia Tutunnikov , Jianshu Cao

The anisotropic triangular model, which is believed to describe the materials Cs$_2$CuCl$_4$ and Cs$_2$CuBr$_4$, among others, is dominated by incommensurate spiral physics and is thus extremely resistant to numerical analysis on small…

Strongly Correlated Electrons · Physics 2014-09-10 Mischa Thesberg , Erik S. Sorensen

We analyze the phases of an S=1/2 spin model on a lattice of coupled tetrahedra. The presence of both Heisenberg and antisymmetric, Dzyaloshinsky-Moriya interactions can lead to two types of symmetry-broken states: non-magnetic dimer order…

Strongly Correlated Electrons · Physics 2016-08-31 Valeri N. Kotov , Michael E. Zhitomirsky , Maged Elhajal , Frederic Mila

Recent studies have revealed that the randomness-induced quantum spin liquid (QSL)-like state is stabilized in certain frustrated quantum magnets in two and three dimensions. In order to clarify the nature of this gapless QSL-like state, we…

Strongly Correlated Electrons · Physics 2021-11-24 Kazuki Uematsu , Toshiya Hikihara , Hikaru Kawamura
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