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Related papers: Numerical evidences of spin-1/2 chain approaching …

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We study here different regions in phase diagrams of the spin-1/2, spin-1 and spin-3/2 one dimensional antiferromagnetic Heisenberg systems with frustration (next-nearest-neighbor interaction $J_2$) and dimerization ($\delta$). In…

Strongly Correlated Electrons · Physics 2013-02-21 V. M. L. Durga Prasad Goli , Shaon Sahoo , S. Ramasesha , Diptiman Sen

We present a new perturbative real space renormalization group (RG) to study random quantum spin chains and other one-dimensional disordered quantum systems. The method overcomes problems of the original approach which fails for quantum…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Saguia , B. Boechat , M. A. Continentino

We study the ground-state properties of weakly frustrated Heisenberg ferrimagnetic chains with nearest and next-nearest neighbor antiferromagnetic exchange interactions and two types of alternating sublattice spins S_1 > S_2, using 1/S…

Strongly Correlated Electrons · Physics 2009-10-31 N. B. Ivanov , J. Richter , U. Schollwoeck

We show that the effective coupling between the spin-1/2 edge states of a spin-1 chain of finite length can be continuously tuned by frustration. For the $J_1-J_2$ model with nearest and next-nearest neighbor antiferromagnetic interactions,…

Strongly Correlated Electrons · Physics 2017-08-30 Natalia Chepiga , Frédéric Mila

We present a study of the entanglement properties of the F-AF zig-zag Heisenberg chain done by means of the Density Matrix Renormalization Group method. In particular, we have selected the concurrence as measure of entanglement and checked…

Strongly Correlated Electrons · Physics 2018-04-09 Adolfo Avella , Ferdinando Mancini , Evgeny Plekhanov

The nearest-neighbor quantum-antiferromagnetic (AF) Heisenberg model for spin 1/2 on a two-dimensional square lattice is studied in the auxiliary-fermion representation. Expressing spin operators by canonical fermionic particles requires a…

Strongly Correlated Electrons · Physics 2009-11-10 Jan Brinckmann , Peter Woelfle

We study theoretically the Raman scattering spectra in the one-dimensional (1D) quantum spin-1/2 antiferromagnets. The analysis reveals that their low-energy dynamics is exquisitely sensitive to various perturbations to the Heisenberg chain…

Strongly Correlated Electrons · Physics 2012-06-06 Masahiro Sato , Hosho Katsura , Naoto Nagaosa

Using the density matrix renormalization group (DMRG) technique, we carry out a large scale numerical calculation for the S=2 antiferromagnetic Heisenberg chain. Performing systematic scaling analysis for both the chain length $L$ and the…

Strongly Correlated Electrons · Physics 2009-10-31 Xiaoqun Wang , Shaojing Qin , Lu Yu

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

Strongly Correlated Electrons · Physics 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

Using density matrix renormalization group calculations, ground state properties of the spin-1 Heisenberg chain with exchange and single-ion anisotropies in an external field are studied. Our findings confirm and refine recent results by…

Statistical Mechanics · Physics 2009-04-27 D. Peters , I. P. McCulloch , W. Selke

We discuss numerical results for the 1-D spin 1/2 antiferromagnetic Heisenberg model with next-to-nearest neighbour coupling and in the presence of an uniform magnetic field. The model develops zero frequency excitations at field dependent…

Condensed Matter · Physics 2016-08-15 J. F. Audet , A. Fledderjohann , C. Gerhardt , M. Karbach , H. Kröger , K. H. Mütter , M. Schmidt

Using the coupled cluster method (CCM) we study the full (zero-temperature) ground-state (GS) phase diagram of a spin-half ($s=1/2$) $J_{1}$-$J_{2}$ Heisenberg model on a cross-striped square lattice. Each site of the square lattice has 4…

Strongly Correlated Electrons · Physics 2014-01-10 R. F. Bishop , P. H. Y. Li , C. E. Campbell

Motivated by recent scanning tunneling microscopy experiments on chains of Co adatoms on Cu surfaces, we investigate the physics of a spin-$3/2$ Heisenberg chain with single-ion anisotropy ($D$) on metallic and semi-metallic surfaces. In…

Strongly Correlated Electrons · Physics 2026-02-24 Bimla Danu , Fakher F. Assaad

We investigate the ground-state magnetic long-range order of quasi-one-dimensional quantum Heisenberg antiferromagnets for spin quantum numbers s=1/2 and s=1. We use the coupled cluster method to calculate the sublattice magnetization in…

Strongly Correlated Electrons · Physics 2008-03-05 Ronald Zinke , Joerg Schulenburg , Johannes Richter

We report on a detailed investigation of the spin-1 $J_1-J_2-J_3$ Heisenberg model, a frustrated model with nearest-neighbor coupling $J_1$, next-nearest neighbor coupling $J_2$, and a three site interaction $J_3\left[({\bf S}_{i-1}\cdot…

Strongly Correlated Electrons · Physics 2016-11-15 Natalia Chepiga , Ian Affleck , Frederic Mila

Using conformal field theory methods Eggert and Affleck have shown that the semi-infinite S=1/2 Heisenberg antiferromagnetic chain exhibits a remarkable alternation in its local response to a uniform field at low temperatures. Such…

Condensed Matter · Physics 2009-10-28 Martin P. Gelfand , Elisabeth F. Gloeggler

We study spin-$1/2$ chains with long-range power-law decaying unfrustrated (bipartite) Heisenberg exchange $J_r \propto r^{-\alpha}$ and multi-spin interactions $Q$ favoring a valence-bond solid (VBS) ground state. Employing quantum Monte…

Computational Physics · Physics 2020-01-13 Sibin Yang , Dao-Xin Yao , Anders W. Sandvik

The properties of antiferromagnetic Heisenberg $S=\frac{1}{2}$ ladders with 2, 3, and 4 chains are expanded in the ratio of the intra- and interchain coupling constants. A simple mapping procedure is introduced to relate the 4 and 2-chain…

Condensed Matter · Physics 2009-10-22 M. Reigrotzki , H. Tsunetsugu , T. M. Rice

We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (S_{i-1}S_{i})(S_{i}S_{i+1})+h.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one is equal…

Strongly Correlated Electrons · Physics 2012-03-30 Frédéric Michaud , François Vernay , Salvatore R. Manmana , Frédéric Mila

We study spin-half and spin-one Heisenberg models in the limit where one dimensional (1-D) linear chains, with exchange constant J1, are weakly coupled in an anisotropic triangular lattice geometry. Results are obtained by means of…

Strongly Correlated Electrons · Physics 2009-11-13 T. Pardini , R. R. P. Singh