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The low-energy properties of the two-dimensional Heisenberg model with spin-$\frac{1}{2}$ on a square lattice are investigated on the basis of the local dimer order. The lattice is divided into square blocks consisting of the quartet of…

Condensed Matter · Physics 2015-06-25 V. I. Belinicher , L. V. Popovich

We consider the spin-1/2 antiferromagnetic Heisenberg model on two one-dimensional frustrated lattices, double-tetrahedral chain and octahedral chain, with almost dispersionless (flat) lowest magnon band in a strong magnetic field. Using…

Strongly Correlated Electrons · Physics 2020-08-12 Olesia Krupnitska

We study antiferromagnetic, $S=1/2$ Heisenberg models with nearest and second neighbor interactions on the one-fifth depleted square lattice which describes the spin degrees of freedom in the spin-gap system CaV$_4$O$_9$. The meta-plaquette…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , J. Oitmaa , C. J. Hamer

We investigate quantum phase transitions in the frustrated orthogonal-dimer chain with an arbitrary spin $S \geq 1/2$. When the ratio of the competing exchange couplings is varied, first-order phase transitions occur 2S times among distinct…

Strongly Correlated Electrons · Physics 2009-11-07 Akihisa Koga , Norio Kawakami

We numerically investigate the low-lying entanglement spectrum of the ground state of random one-dimensional spin chains obtained after partition of the chain into two equal halves. We consider two paradigmatic models: the spin-1/2 random…

Quantum Gases · Physics 2018-09-05 Giacomo Torlai , Kenneth D. McAlpine , Gabriele De Chiara

We present a mean field solution of the antiferromagnetic Heisenberg chain with nearest (J_1) and next to nearest neighbor (J_2) interactions. This solution provides a way to estimate the effects of frustration. We calculate the…

Strongly Correlated Electrons · Physics 2009-10-28 V. N. Muthukumar , Claudius Gros , Roser Valenti , M. Weiden , C. Geibel , F. Steglich , P. Lemmens , M. Fischer , G. Güntherodt

We extend previous analytical studies of the ground-state phase diagram of a one-dimensional Heisenberg spin chain coupled to optical phonons, which for increasing spin-lattice coupling undergoes a quantum phase transition from a gap-less…

Strongly Correlated Electrons · Physics 2007-07-12 Georg Hager , Alexander Weisse , Gerhard Wellein , Eric Jeckelmann , Holger Fehske

We investigate the entanglement entropy (EE) of gapped S=1 and $S=1/2$ spin chains with dimerization. We find that the effective boundary degrees of freedom as edge states contribute significantly to the EE. For the $S=1/2$ dimerized…

Strongly Correlated Electrons · Physics 2007-07-10 Takaaki Hirano , Yasuhiro Hatsugai

We study the entanglement spectrum of Heisenberg spin ladders of arbitrary spin length S in the perturbative regime of strong rung coupling. For isotropic spin coupling the the entanglement spectrum is, within first order perturbation…

Statistical Mechanics · Physics 2012-11-29 John Schliemann , Andreas M. Läuchli

We report experimental and theoretical evidence that Rb$_2$Cu$_2$Mo$_3$O$_{12}$ has a nonmagnetic tetramer ground state of a two-leg ladder comprising antiferromagnetically coupled frustrated spin-$1/2$ chains and exhibits a Haldane spin…

We study the entanglement spectrum (ES) of a finite XXZ spin 1/2 chain in the limit \Delta -> -1^+ for both open and periodic boundary conditions. At \Delta=-1 (ferromagnetic point) the model is equivalent to the Heisenberg ferromagnet and…

Strongly Correlated Electrons · Physics 2012-08-30 Vincenzo Alba , Masudul Haque , Andreas M. Laeuchli

We study the frustrated spin-$\frac{1}{2}$ model consisting of a linear chain of triangles with ferro (F)- and antiferromagnetic (AF) interactions connected by ferromagnetic interactions (triangles chain). The ground state phase diagram as…

Strongly Correlated Electrons · Physics 2024-03-22 D. V. Dmitriev , V. Ya. Krivnov

We study the low-energy properties of Heisenberg antiferromagnetic spin-1/2 and spin-1 systems on various clusters made up of triangles. Some of the clusters have a geometry similar to representative pieces of the Kagome lattice, while…

Strongly Correlated Electrons · Physics 2007-05-23 Indranil Rudra , S. Ramasesha , Diptiman Sen

Elementary excitations in condensed matter capture the complex many-body dynamics of interacting basic entities in a simple quasiparticle picture. In magnetic systems the most established quasiparticles are magnons, collective excitations…

Strongly Correlated Electrons · Physics 2019-05-07 M. Pregelj , A. Zorko , M. Gomilšek , M. Klanjšek , O. Zaharko , J. S. White , H. Luetkens , F. Coomer , T. Ivek , D. R. Góngora , H. Berger , D. Arčon

An interesting feature of spin-1/2 chains with a gap is that they undergo a commensurate-incommensurate transition in the presence of an external magnetic field $H$. The system is in a gapless incommensurate regime for all values of the…

Statistical Mechanics · Physics 2016-08-31 R. Chitra , T. Giamarchi

Spin wave dispersion in the frustrated fcc type-III antiferromagnet MnS$_2$ has been determined by inelastic neutron scattering using a triple-axis spectrometer. Existence of multiple spin wave branches, with significant separation between…

Strongly Correlated Electrons · Physics 2019-02-20 T. Chatterji , L. P. Regnault , S. Ghosh , A. Singh

It is proven that the lowest excitations $E_{low}(k)$ of one-dimensional half-integer spin generalized Heisenberg models and half-filled extended Hubbard models are $\pi$-periodic functions. For Hubbard models at fractional fillings…

Strongly Correlated Electrons · Physics 2009-10-31 Konstantin Kladko

By measuring the THz electron spin resonance (ESR) transmission spectra and high-field magnetization on the spin-gapped system CuTe$_2$O$_5$, we identified the singlet-triplet excitations in the dimerized non-magnetic ground state. The…

Strongly Correlated Electrons · Physics 2011-11-22 Zhe Wang , M. Schmidt , Y. Goncharov , Y. Skourski , J. Wosnitza , H. Berger , H. -A. Krug von Nidda , A. Loidl , J. Deisenhofer

Inelastic neutron scattering is used to identify single-particle and continuum spin excitations in the quasi-one-dimensional $S=1/2$ antiferromagnet \ba. In the data analysis, close attention is given to resolution effects. A gap in the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Zheludev , M. Kenzelmann , S. Raymond , T. Masuda , K. Uchinokura , S. -H. Lee

We study the phase diagram and the dynamical spin structure factor of the spin-1/2 J1-J3 Heisenberg model on the square lattice using density matrix renormalization group, exact diagonalization (ED), and cluster perturbation theory (CPT).…

Strongly Correlated Electrons · Physics 2022-09-20 Muwei Wu , Shou-Shu Gong , Dao-Xin Yao , Han-Qing Wu