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The spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain with ferromagnetic next-nearest-neighbour (NNN) interaction is investigated. The ground state is the Haldane phase for weak NNN interaction, and is the ferromagnetic…

Strongly Correlated Electrons · Physics 2013-05-10 Kazuo Hida , Ken'ichi Takano , Hidenori Suzuki

The antiferromagnetic Heisenberg chain is expected to have an extended symmetry, [SU(2)xSU(2)]/Z 2 , in the infrared limit, whose physical interpretation is that the spin and dimer order parameters form the components of a common…

Strongly Correlated Electrons · Physics 2018-07-18 Pranay Patil , Emanuel Katz , Anders W. Sandvik

The thermodynamics of coupled frustrated ferromagnetic chains is studied within a spin-rotation-invariant Green's function approach. We consider an isotropic Heisenberg spin-half system with a ferromagnetic in-chain coupling $J_1<0$ between…

Strongly Correlated Electrons · Physics 2017-04-28 P. Müller , J. Richter , D. Ihle

We study the magnetic properties of two types of one dimensional XX spin 1/2 chains. The first type has only nearest neighbor interactions which can be either antiferromagnetic or ferromagnetic and the second type which has both nearest…

Disordered Systems and Neural Networks · Physics 2009-02-26 C. A. Lamas , D. C. Cabra , M. D. Grynberg , G. L. Rossini

The spin gap of a one-dimensional repulsive Hubbard model is numerically calculated with the density matrix renormalization group, with a special emphasis on the effect of a next-nearest neighbor hopping (t') and the nearest-neighbor…

Condensed Matter · Physics 2009-10-30 Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki , Michele Fabrizio

We consider interacting electrons in a quantum wire in the case of a shallow confining potential and low electron density. In a certain range of densities, the electrons form a two-row (zigzag) Wigner crystal whose spin properties are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. D. Klironomos , Julia S. Meyer , T. Hikihara , K. A. Matveev

We analyse a model of a one-dimensional electron gas interacting with an antiferromagnetic Heisenberg spin-1/2 chain via the spin exchange interactions. Using a solution at a special limit, we characterize the gapless modes of the spin gap…

Strongly Correlated Electrons · Physics 2016-08-31 Oron Zachar , Alexei M. Tsvelik

We consider the limit of strong Coulomb attraction for generalized Hubbard models with $\eta$-symmetry. In this limit these models are equivalent to the ferromagnetic spin-1/2 Heisenberg quantum spin chain. In order to study the behaviour…

Condensed Matter · Physics 2009-10-22 G. Albertini , V. E. Korepin , A. Schadschneider

In this paper we study an Ising spin chain with short-range competing interactions in presence of long-range ferromagnetic interactions in the canonical ensemble. The simultaneous presence of the frustration induced by the short-range…

Statistical Mechanics · Physics 2019-09-04 Alessandro Campa , Giacomo Gori , Vahan Hovhannisyan , Stefano Ruffo , Andrea Trombettoni

Dimerization of a spin-half Heisenberg antiferromagnet on a square lattice is investigated for several possible dimerized configurations, some of which are shown to have lower ground state energies than the others. In particular, the…

Superconductivity · Physics 2009-10-31 Aiman Al-Omari

The natural explanation of the excitation spectrum of the spin-1 antiferromagnetic Heisenberg chain is given from the viewpoint of the spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain. The energy spectrum of the latter…

Condensed Matter · Physics 2009-10-22 Kazuo Hida

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

Disordered Systems and Neural Networks · Physics 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann

We investigate the occurrence of exact zero modes in one-dimensional quantum magnets of finite length that possess edge states. Building on conclusions first reached in the context of the spin-1/2 XY chain in a field, then for the spin-1…

Strongly Correlated Electrons · Physics 2018-06-06 Natalia Chepiga , Frédéric Mila

Ordering of frustrated S=1/2 and 1 XY and Heisenberg spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied by exact diagonalization and density-matrix renormalization-group methods. It is…

Strongly Correlated Electrons · Physics 2009-10-31 M. Kaburagi , H. Kawamura , T. Hikihara

An $L \times \infty$ system of odd number of coupled Heisenberg spin chains is studied using a degenerate perturbation theory, where $L$ is the number of coupled chains. An effective chain Hamiltonian is derived explicitly in terms of two…

Condensed Matter · Physics 2009-10-22 V. Subrahmanyam

Using the (dynamical) density-matrix renormalization group method, we study the low-energy physics of three-leg antiferromagnetic Heisenberg model where the periodic boundary conditions are applied in the rung direction. We confirm that the…

Strongly Correlated Electrons · Physics 2009-11-13 S. Nishimoto , M. Arikawa

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

Ferrimagnets are antiparallel-ordered magnetic states in a bipartite lattice with two alternating unequal spins, which exhibit both ferromagnetic and antiferromagnetic properties. Several theoretical studies have explored the magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 Jongmin Y. Lee , Se Kwon Kim

Static and dynamic structure factors of Heisenberg ferrimagnetic spin chains are numerically investigated. There exist two distinct branches of elementary excitations, which exhibit ferromagnetic and antiferromagnetic aspects. The…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto , Toru Sakai

The excitation spectrum of the one-dimensional spin-orbital model in a magnetic field is studied, using a recently developed dynamical density matrix renormalization group technique. The method is employed on chains with up to 80 sites, and…

Strongly Correlated Electrons · Physics 2009-10-31 Weiqiang Yu , Stephan Haas
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