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We investigate the antiadiabatic limit of an antiferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons via a bond coupling. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Raas , Ute Löw , Götz S. Uhrig , Rainer W. Kühne

We investigate spin-$\frac{1}{2}$ anisotropic model of a linear chain of triangles with competing ferro- and antiferromagnetic interactions and ferromagneic Heisenberg interactions between triangles. For a certain ratio between interactions…

Strongly Correlated Electrons · Physics 2023-08-11 V. Ya. Krivnov , D. V. Dmitriev

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

The critical properties of the $S=1/2$ Heisenberg two-leg ladders are investigated in a magnetic field. Combining the exact diagonalization method and the finite-size-scaling analysis based on conformal field theory, we calculate the…

Strongly Correlated Electrons · Physics 2009-10-31 M. Usami , S. Suga

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

Two-leg spin-1/2 ladder systems consisting of a ferromagnetic leg and an antiferromagnetic leg are considered where the spins on the legs interact through antiferromagnetic rung couplings $J_1$. These ladders can have two geometrical…

Strongly Correlated Electrons · Physics 2018-03-14 Debasmita Maiti , Dayasindhu Dey , Manoranjan Kumar

We study the quasi-one-dimensional limit of the spin-1/2 quantum Heisenberg antiferromagnet on the kagome lattice. The lattice is divided into antiferromagnetic spin-chains (exchange J) that are weakly coupled via intermediate "dangling"…

Strongly Correlated Electrons · Physics 2008-11-20 Andreas P. Schnyder , Oleg A. Starykh , Leon Balents

We investigate both numerically and analytically the behaviour of a spin-1 antiferromagnetic (AFM) isotropic Heisenberg chain in an external magnetic field. Extensive DMRG studies of chains up to N=80 sites extend previous analyses and…

Strongly Correlated Electrons · Physics 2009-10-31 L. Campos Venuti , E. Ercolessi , G. Morandi , P. Pieri , M. Roncaglia

We explore the physics of a spin-1/2 Heisenberg chain with Kondo interaction, $J_k$, to a two-dimensional electron gas. At weak $J_k$ the problem maps onto a Heisenberg chain locally coupled to a dissipative Ohmic bath. At the decoupled…

Strongly Correlated Electrons · Physics 2022-11-24 Bimla Danu , Matthias Vojta , Tarun Grover , Fakher F. Assaad

We study the possibility of using an uniformly coupled finite antiferromagnetic spin-1/2 Heisenberg chain as a channel for transmitting entanglement. One member of a pair of maximally entangled spins is initially appended to one end of a…

Quantum Physics · Physics 2010-02-01 Abolfazl Bayat , Sugato Bose

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

Haldane's seminal work established two fundamentally different types of excitation spectra for antiferromagnetic Heisenberg quantum spin chains: gapped excitations in integer-spin chains and gapless excitations in half-integer-spin chains.…

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

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

We study the transverse dynamical susceptibility of an antiferromagnetic spin$-1/2$ chain in presence of a longitudinal Zeeman field. In the low magnetization regime in the gapless phase, we show that the marginally irrelevant…

Strongly Correlated Electrons · Physics 2020-11-04 Anna Keselman , Leon Balents , Oleg A. Starykh

We consider the spin-1/2 Heisenberg chain with alternating spin exchange %on even and odd sites in the presence of additional modulation of exchange on odd bonds with period three. We study the ground state magnetic phase diagram of this…

Strongly Correlated Electrons · Physics 2015-05-30 M. Shahri Naseri , G. I. Japaridze , S. Mahdavifar , S. Farjami Shayesteh

In this paper we report the latest results of exact diagonalizations of SU(2) invariant models on various lattices (square, triangular, hexagonal, checkerboard and kagome lattices). We focus on the low lying levels in each S sector. The…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Claire Lhuillier

We study a model of three $S=1/2$ antiferromagnetic Heisenberg spin chains weakly coupled by on-rung and plaquette-diagonal interchain interactions. It is shown that the model exhibits a critical phase with central charge C=2 and belongs to…

Strongly Correlated Electrons · Physics 2009-10-31 P. Azaria , P. Lecheminant , A. A. Nersesyan

We study magnetic and critical properties of the alternating spin antiferromagnetic Heisenberg chain with $S=1/2$ and 1 in a magnetic field at T=0. The numerical diagonalization is applied to the system up to $2N=20$ sites. Checking…

Statistical Mechanics · Physics 2009-10-30 T. Kuramoto

We present low-temperature dynamic properties of the quantum two-dimensional antiferromagnetic Heisenberg model with spin S=1/2. The calculation of the dynamic correlation function is performed by combining a projection operator formalism…

Strongly Correlated Electrons · Physics 2009-11-11 A. F. Albuquerque , A. S. T. Pires , M. E. Gouvea
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