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We study a model of two weakly coupled isotropic spin-1/2 Heisenberg chains with an antiferromagnetic coupling along the chains. It is shown that the system always has a spectral gap. For the case of identical chains the model in the…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. A. Nersesyan , A. M. Tsvelik

We study the spin-1/2 antiferromagnetic Heisenberg chain in both uniform and (perpendicular) staggered magnetic fields using the density-matrix renormalization-group method. This model has been shown earlier to describe the physics of the…

Strongly Correlated Electrons · Physics 2009-11-07 Jizhong Lou , Shaojin Qin , Changfeng Chen , Zhaobin Su , Lu Yu

The low energy behavior of the S=1/2 antiferromagnetic XY-like XXZ chains with precious mean quasiperiodic exchange modulation is studied by the density matrix renormalization group method. It is found that the energy gap of the chain with…

Strongly Correlated Electrons · Physics 2009-10-31 Kazuo Hida

By exploiting density-matrix renormalization group techniques, we investigate the dynamical spin structure factor of a spin-1/2 Heisenberg chain with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange…

Strongly Correlated Electrons · Physics 2015-07-17 Hiroaki Onishi

In this article, we study the one dimensional Heisenberg spin-1/2 alternating bond chain in which the nearest neighbor exchange couplings are ferromagnetic (FM) and antiferromagnetic (AF) alternatively. By using exact diagonalization and…

Strongly Correlated Electrons · Physics 2009-11-10 Hsiang-Hsuan Hung , Chang-De Gong

The effect of antiferromagnetic interchain coupling in alternating spin (1,1/2) chains is studied by mean of a spin wave theory and density matrix renormalization group (DMRG). In particular, two limiting cases are investigated, the two-leg…

Statistical Mechanics · Physics 2009-11-07 Adolfo E. Trumper , Claudio Gazza

The spin-1/2 antiferromagnetic zig-zag ladder is studied by exact diagonalization of small systems in the regime of weak inter-chain coupling. A gapless phase with quasi long-range spiral correlations has been predicted to occur in this…

Strongly Correlated Electrons · Physics 2009-11-07 V. R. Vieira , N. Guihery , J. P. Rodriguez , P. D. Sacramento

By means of electron spin resonance investigations we revealed the crucial role of the interchain coupling in the spin dynamics of the spin-1/2 Heisenberg antiferromagnetic (AF) chain material copper-pyrazine-dinitrate,…

Strongly Correlated Electrons · Physics 2013-01-01 A. A. Validov , M. Ozerov , J. Wosnitza , S. A. Zvyagin , M. M. Turnbull , C. P. Landee , G. B. Teitel'baum

Using the density matrix renormalization group technique, we evaluate the low-energy spectrum (ground state and first excited states) of the anisotropic antiferromagnetic spin-one-half chain under magnetic fields. We study both homogeneous…

Strongly Correlated Electrons · Physics 2009-11-07 F. Capraro , C. Gros

We study the spin-1/2 chain with nearest neighbor ($\kappa_1$) and next-nearest neighbor ($\kappa_2$) interactions in the regime $\kappa_2\gg \kappa_1$, which is equivalent to two chains with a `zig-zag' interaction. In the continuum limit,…

Condensed Matter · Physics 2009-10-28 Dave Allen , David Senechal

The $S=1$ antiferromagnetic Heisenberg chain both with and without single ion anisotropy is studied. Using the recently proposed density matrix renormalization group technique we calculate the energy gaps as well as several different…

Condensed Matter · Physics 2012-07-07 E. Sorensen , I Affleck

The entanglement properties in an antiferromagnetic dimerized Heisenberg spin-1/2 chain are investigated. The entanglement gap, which is the difference between the ground-state energy and the minimal energy that any separable state can…

Quantum Physics · Physics 2008-03-07 Xiang Hao , Shiqun Zhu

Using the density matrix renormalization group and a bosonization approach, we study a spin-1/2 antiferromagnetic Heisenberg chain with near-neighbor coupling $J_1$ and frustrating second-neighbor coupling $J_2$, particularly in the limit…

Condensed Matter · Physics 2009-10-28 Steven R. White , Ian Affleck

The antiferromagnetic Heisenberg spin chain with integer spin has short-range magnetic order and an excitation energy gap above the ground state. This so-called Haldane gap is proportional to the exchange coupling $J$ of the Heisenberg…

Strongly Correlated Electrons · Physics 2019-07-19 Thierry Jolicoeur , Olivier Golinelli

We calculate the ground-state two-spin correlation functions of spin-1/2 quantum Heisenberg chains with random exchange couplings using the real-space renormalization group scheme. We extend the conventional scheme to take account of the…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , A. Furusaki , M. Sigrist

The low energy properties of the spin-1/2 random Heisenberg chain with ferromagnetic and antiferromagnetic interactions are studied by means of the density matrix renormalization group (DMRG) and real space renormalization group (RSRG)…

Statistical Mechanics · Physics 2009-10-28 Kazuo Hida

We study two Heisenberg spin-1/2 chains coupled by a frustrating ``zigzag'' interaction. We are particularly interested in the regime of weak interchain coupling, which is difficult to analyse by either numerical or analytical methods.…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Aligia , C. D. Batista , F. H. L. Essler

The effect of antiferromagnetic interchain coupling in alternating spin (1,1/2) chains is studied by mean of spin wave theory and density matrix renormalization group(DMRG). Two limiting cases are investigated, the two-leg ladder and its…

Statistical Mechanics · Physics 2009-11-07 Adolfo E. Trumper , Claudio J. Gazza

We analyze the phase diagram of a system of spin-1/2 Heisenberg antiferromagnetic chains interacting through a zig-zag coupling, also called zig-zag ladders. Using bosonization techniques we study how a spin-gap or more generally plateaux…

Strongly Correlated Electrons · Physics 2015-03-03 D. C. Cabra , A. Honecker , P. Pujol

Quasi-one-dimensional quantum antiferromagnets formed by a d-dimensional hypercubic lattice of weakly coupled spin-1/2 antiferromagnetic Heisenberg chains are studied by combining exact results in one-dimension and renormalization group…

Strongly Correlated Electrons · Physics 2009-10-28 Ziqiang Wang
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