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Treating an exactly rung-dimerized spin ladder as a reference model we study perturbatively zero temperature quantum fluctuations in spin ladders with slightly destroyed rung-dimerization. Analytic expressions are obtained for the gas…

Strongly Correlated Electrons · Physics 2009-08-04 P. N. Bibikov

Raman scattering in the quarter-filled spin ladder system alpha'-NaV_2O_5 shows in the dimerized singlet ground state ($T \leq T_{SP}=35K$) an unexpected sequence of three magnetic bound states. Our results suggest that the recently…

Strongly Correlated Electrons · Physics 2009-10-31 P. Lemmens , M. Fischer , G. Els , G. Güntherodt , A. S. Mishchenko , M. Weiden , R. Hauptmann , C. Geibel , F. Steglich

Dimerized antiferromagnetic spin-1/2 ladders are known to exhibit a quantum critical phase transition in the ground state, the existence or absence of which is dependent on the dimerization pattern of the ladder. The gapped phases cannot be…

Strongly Correlated Electrons · Physics 2013-05-29 S. J. Gibson , R. Meyer , G. Y. Chitov

We investigate the N-leg spin-S Heisenberg Ladders by using the density matrix renormalization group method. We present estimates of the spin gap $\Delta_{s}$ and of the ground state energy per site $e_{\infty}^{N}$ in the thermodynamic…

Strongly Correlated Electrons · Physics 2014-04-10 F. B. Ramos , J. C. Xavier

We use perturbative series expansions about a staggered dimerized ground state to compute the ground state energy, triplet excitation spectra and spectral weight for a one-dimensional model in which each site has an $S=\case 1/2$ spin ${\bf…

Strongly Correlated Electrons · Physics 2009-11-07 Weihong Zheng , J. Oitmaa

Spin ladders are key models that act as intermediaries between one-dimensional and two-dimensional spin systems. In this study, we examine a coupled spin-$1/2$ ladder, where frustrated ladders with leg, rung, and diagonal interactions are…

Strongly Correlated Electrons · Physics 2026-02-17 Manas Ranjan Mahapatra , Rakesh Kumar

The phase diagram of a frustrated S=1/2 antiferromagnetic spin ladder with additional next-nearest neighbor exchanges, both diagonal and inchain, is studied by a weak-coupling effective field theory approach combined with exact…

Strongly Correlated Electrons · Physics 2007-05-23 Temo Vekua , Andreas Honecker

We present a Density Matrix Renormalization Group (DMRG) study of the ground-state properties of spin-1/2 frustrated $J_1-J_3$ Heisenberg $n_l$-leg ladders (with $n_l$ up to 8). For strong frustration ($J_3/J_1\simeq 0.5$), both even- and…

Strongly Correlated Electrons · Physics 2009-11-10 Luca Capriotti , Douglas J. Scalapino , Steven R. White

We have studied the excitation spectrum of the $S=1/2$ quantum spin ladder with staggered dimerization by dimer series expansions, diagrammatic analysis of an effective interacting Bose gas of local triplets, and exact diagonalization of…

Strongly Correlated Electrons · Physics 2009-10-31 V. N. Kotov , J. Oitmaa , Zheng Weihong

The magnetic properties of the antiferromagnetic spin ladder with the next-nearest neighbor interaction, particularly under external field, are investigated by the exact diagonalization of the finite clusters and size scaling techniques. It…

Strongly Correlated Electrons · Physics 2009-10-31 Toru Sakai , Nobuhisa Okazaki

We study the antiferromagnetic spin-half Heisenberg ladder in the presence of an additional frustrating rung spin which is motivated and relevant also for the description of real two-dimensional materials such as the two-dimensional trimer…

Strongly Correlated Electrons · Physics 2021-03-17 Andreas Weichselbaum , Weiguo Yin , Alexei M. Tsvelik

We study the ground-state properties of frustrated Heisenberg ferrimagnetic ladders with antiferromagnetic exchange interactions and two types of alternating sublattice spins. In the limit of strong rung couplings, we show that the mixed…

Strongly Correlated Electrons · Physics 2007-07-29 Shu Chen , Li Wang , Yupeng Wang

We investigate a model for the regularly depleted two-leg spin ladder systems. By using Lieb-Schultz-Mattis theorem, it is rigorously shown that this model realizes massless excitations or, alternatively, a degenerate ground state, although…

Statistical Mechanics · Physics 2009-10-28 T. Fukui , M. Sigrist , N. Kawakami

The ground state properties of spin-1/2 ladders are studied, emphasizing the role of frustration and ring exchange coupling. We present a unified field theory for ladders with general coupling constants and geometry. Rich phase diagrams can…

Strongly Correlated Electrons · Physics 2017-04-19 Alexandros Metavitsiadis , Sebastian Eggert

The effect of quenched disorder on the low-energy properties of various antiferromagnetic spin ladder models is studied by a numerical strong disorder renormalization group method and by density matrix renormalization. For strong enough…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Mélin , Y. -C. Lin , P. Lajkó , H. Rieger , F. Iglói

The physical properties of the edge states of the cut two-leg spin ladder are investigated by means of the bosonization approach. By carefully treating boundary conditions, we derive the existence of spin-1/2 edge states in the spin ladder…

Strongly Correlated Electrons · Physics 2009-11-07 P. Lecheminant , E. Orignac

We study a family of frustrated anti-ferromagnetic spin-$S$ systems with a fully dimerized ground state. This state can be exactly obtained without the need to include any additional three-body interaction in the model. The simplest members…

Strongly Correlated Electrons · Physics 2015-09-09 C. A. Lamas , J. M. Matera

A two-leg spin-1/2 ladder with diagonal interactions is investigated numerically. We focus our attention on the possibility of columnar dimer phase, which was recently predicted based on a reformulated bosonization theory. By using density…

Strongly Correlated Electrons · Physics 2007-05-23 Hsiang-Hsuan Hung , Chang-De Gong , Yung-Chung Chen , Min-Fong Yang

Ground states of the frustrated spin-1 Ising-Heisenberg two-leg ladder with Heisenberg intra-rung coupling and only Ising interaction along legs and diagonals are rigorously found by taking advantage of local conservation of the total spin…

Statistical Mechanics · Physics 2023-07-19 Jozef Strecka , Frederic Michaud , Frederic Mila

Three magnon bound states in all total spin sectors of general nonintegrable exactly rung-dimerized spin ladder are obtained by Bethe Ansatz. Basing on this result a dispersion law for $m$-magnon ($m>3$) bound states is conjectured. It is…

Strongly Correlated Electrons · Physics 2010-03-24 P. N. Bibikov
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