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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 investigate an asymmetric zig-zag spin ladder with different exchange integrals on both legs using bosonization and renormalization group. When the leg exchange integrals and frustration both are sufficiently small, renormalization group…

Strongly Correlated Electrons · Physics 2009-11-07 Shu Chen , H. Buettner , J. Voit

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

We investigate the phase diagram of antiferromagnetic spin ladders with additional exchange interactions on diagonal bonds by variational and numerical methods. These generalized spin ladders interpolate smoothly between the $S=1/2$ chain…

Condensed Matter · Physics 2009-10-28 S. Brehmer , H. -J. Mikeska , U. Neugebauer

We present a theoretical study of the magnetic phase diagram of the frustrated coupled ladder structure realized recently in several materials. This system displays a nondegenerate spin-gap state in the dimer limit and an infinitely…

Strongly Correlated Electrons · Physics 2009-10-30 B. Normand , K. Penc , M. Albrecht , F. Mila

We perform a systematic investigation on the ground state of an asymmetric two-leg spin ladder (where exchange couplings of the legs are unequal) with ferromagnetic (FM) nearest-neighbor interaction and diagonal anti-ferromagnetic…

Strongly Correlated Electrons · Physics 2017-06-12 Lihua Pan , Depeng Zhang , Hsiang-Hsuan Hung , Yong-Jun Liu

We investigate the isotropic two-leg S=1/2 ladder with general bilinear and biquadratic exchange interactions between spins on neighboring rungs, and determine the Hamiltonians which have a matrix product wavefunction as exact ground state.…

Statistical Mechanics · Physics 2009-10-30 A. K. Kolezhuk , H. -J. Mikeska

We study the $T=0$ frustrated phase of the $1D$ quantum spin-$\frac 12$ system with nearest-neighbour and next-nearest-neighbour isotropic exchange known as the Majumdar-Ghosh Hamiltonian. We first apply the coupled-cluster method of…

Condensed Matter · Physics 2009-10-28 R. J. Bursill , G. A. Gehring , D. J. J. Farnell , J. B. Parkinson , Chen Zeng , T. Xiang

We revisit the phase diagram of the frustrated s=1/2 spin ladder with antiferromagnetic rung and diagonal couplings. In particular, we reexamine the evidence for the columnar dimer phase, which has been predicted from analytic treatment of…

Strongly Correlated Electrons · Physics 2015-05-27 G. Barcza , O. Legeza , R. M. Noack , J. Solyom

We discuss spin-$S$ antiferromagnetic Heisenberg chains with three-spin interactions, next-nearest-neighbor interactions, and bond alternation. First, we prove rigorously that there exist parameter regions of the exact dimerized ground…

Strongly Correlated Electrons · Physics 2014-01-30 Zheng-Yuan Wang , Shunsuke C. Furuya , Masaaki Nakamura , Ryo Komakura

We perform a systematic investigation of an asymmetric zig-zag spin ladder with inter-leg exchange $J_1$ and different exchange integrals $J_2 \pm \delta$ on both legs. In the weak limit of frustration, the spin model can be mapped to a…

Strongly Correlated Electrons · Physics 2016-08-16 Shu Chen , H. Büttner , J. Voit

We investigate a spin-$1/2$ two-leg honeycomb ladder with frustrating next-nearest-neighbor (NNN) coupling along the legs, which is equivalent to two $J_1$-$J_2$ spin chains coupled with $J_\perp$ at odd rungs. The full parameter region of…

Strongly Correlated Electrons · Physics 2018-07-04 Qiang Luo , Shijie Hu , Jize Zhao , Alexandros Metavitsiadis , Sebastian Eggert , Xiaoqun Wang

The effect of next-nearest-neighbor hopping $t_{2}$ on the ground-state phase diagram of the one-dimensional Kondo lattice is studied with density-matrix renormalization-group techniques and by comparing with the phase diagram of the…

Strongly Correlated Electrons · Physics 2019-03-05 Matthias Peschke , Lena-Marie Woelk , Michael Potthoff

Using bosonization approach, we derive an effective low-energy theory for XXZ-symmetric spin-1/2 zigzag ladders and discuss its phase diagram by a variational approach. A spin nematic phase emerges in a wide part of the phase diagram,…

Strongly Correlated Electrons · Physics 2009-11-10 M. Zarea , M. Fabrizio , A. A. Nersesyan

We investigate the ground-state phase diagram of the quarter-filled Hubbard ladder with nearest-neighbor Coulomb repulsion V using the Density Matrix Renormalization Group technique. The ground-state is homogeneous at small V, a…

Strongly Correlated Electrons · Physics 2009-10-31 Matthias Vojta , Arnd Huebsch , R. M. Noack

We investigate the ground-state phase diagram of the $S$=1/2 XXZ model on the two-dimensional Shastry-Sutherland lattice using exact diagonalization (ED), density-matrix renormalization group (DMRG), and cluster mean-field theory (CMFT)…

Strongly Correlated Electrons · Physics 2026-02-02 Zhengpeng Yuan , Muwei Wu , Dao-Xin Yao , Han-Qing Wu

We investigate the ground states of spin-$S$ Kitaev ladders using exact analytical solutions (for $S = 1/2$), perturbation theory, and the density matrix renormalization group (DMRG) method. We find an even-odd effect: in the case of…

Strongly Correlated Electrons · Physics 2023-11-28 Yushao Chen , Yin-Chen He , Aaron Szasz

We study the phase diagram of the frustrated Heisenberg model on the triangular lattice with nearest and next-nearest neighbor spin exchange coupling, on 3-leg ladders. Using the density-matrix renormalization-group method, we obtain the…

Strongly Correlated Electrons · Physics 2018-04-13 S. N. Saadatmand , B. J. Powell , I. P. McCulloch

In the weak-coupling regime of the continuous theories, two sets of one-loop renormalization group equations are derived and solved to disclose the phase diagrams of the antiferromagnetic generalized two-leg spin-1/2 ladder under the effect…

Strongly Correlated Electrons · Physics 2009-11-10 Y. -J. Wang

The ground-state phase diagram of the frustrated spin-S XXZ chain with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied numerically by using the density-matrix renormalization-group method for the…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , M. Kaburagi , H. Kawamura
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