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Motivated by near-term experiments with ultracold alkaline-earth atoms confined to optical lattices, we establish numerically and analytically the phase diagram of two-leg SU($N$) spin ladders. Two-leg ladders provide a rich and highly…

Strongly Correlated Electrons · Physics 2018-08-08 Andreas Weichselbaum , Sylvain Capponi , Philippe Lecheminant , Alexei M. Tsvelik , Andreas M. Läuchli

We consider the isotropic spin-1/2 two-leg ladders with the dominant spatially modulated rung exchanges. We study the effect of a uniform magnetic field on the ground state phase diagram of the model using the perturbation theory and the…

Strongly Correlated Electrons · Physics 2011-11-21 Somayyeh Nemati , Saeed Mahdavifar , Saeed Batebi

We present the phase diagram of the $S=1/2$ Heisenberg model on the two leg ladder with cyclic four spin exchange, determined by a combination of Exact Diagonalization and Density Matrix Renormalization Group techniques. We find six…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , G. Schmid , M. Troyer

The phase diagram of a frustrated spin-$S$ zig-zag ladder is studied through different numerical and analytical methods. We show that for arbitrary $S$, there is a family of Hamiltonians for which a fully-dimerized state is an exact ground…

Quantum Physics · Physics 2015-01-21 J. M. Matera , C. A. Lamas

The ground state and low lying excitation of the spin 1/2 Heisenberg ladder with antiferromagnetic leg ($J$) and ferromagnetic rung ($-\lambda J, \lambda >0$) interaction is studied by means of the density matrix renormalization group…

Condensed Matter · Physics 2009-10-28 Kazuo Hida

The ground-state magnetic phase diagram of a spin $S=1/2$ two-leg ladder with alternating rung exchange $J_{\perp}(n)=J_{\perp}[1 + (-1)^{n} \delta]$ is studied using the analytical and numerical approaches. In the limit where the rung…

Strongly Correlated Electrons · Physics 2012-07-26 G. I. Japaridze , S. Mahdavifar

A spin-1/2 Heisenberg model with a chirality-chirality interaction (CCI) on a two-leg ladder provides a minimal setup to explore an interplay between spin and chirality degrees of freedom. This model is potentially relevant for…

Strongly Correlated Electrons · Physics 2024-12-06 Mateo Fontaine , Shunsuke Furukawa

Using the cluster Gutzwiller mean-field method, we numerically study the ground-state phase diagram of the non-hard-core two-component interacting bosons trapped in a two-leg ladder with and without an artificial magnetic field. There are…

Quantum Gases · Physics 2024-04-16 Po Chen , Chenrong Liu

Using exact numerical diagonalization and the conformal field theory approach, we study the effect of magnetic frustrations due to diagonal exchange bonds in a system of two coupled mixed-spin $(1,{1/2})$ Heisenberg chains. It is…

Strongly Correlated Electrons · Physics 2009-11-10 N. B. Ivanov , J. Richter

The phase transition of the quantum spin-1/2 frustrated Heisenberg antiferroferromagnet on an anisotropic square lattice is studied by using a variational treatment. The model is described by the Heisenberg Hamiltonian with two…

Statistical Mechanics · Physics 2015-06-05 Orlando D. Mabelini , Octavio Salmon , J. Ricardo de Sousa

In frustrated spin ladders the interplay of frustration and correlations leads to the familiar Haldane (H) and rung-singlet (RS) phases. The nature of the transition between these two phases is still under debate. In this paper we tackle…

Strongly Correlated Electrons · Physics 2022-11-30 N. Ahmadi , J. Abouie , R. Haghshenas , D. Baeriswyl

The ground-state phase diagram of a frustrated S=1 Heisenberg spin chain with uniaxial single-ion-type anisotropy is studied using the infinite-system density-matrix renormalization-group method. Particular attention is paid to "chiral"…

Statistical Mechanics · Physics 2009-11-07 Toshiya Hikihara

Frustrated spin ladders show magnetization plateaux depending on the rung-exchange interaction and frustration defined by the ratio of first and second neighbor exchange interactions in each chain. This paper is the first report on its…

Strongly Correlated Electrons · Physics 2018-05-09 T. Sugimoto , M. Mori , T. Tohyama , S. Maekawa

We use bosonization and renormalization group methods to determine the ground state phase diagram of a one-dimensional frustrated Kondo-Heisenberg system consisting of a one-dimensional spin-1/2 Luttinger liquid coupled by a Kondo exchange…

Strongly Correlated Electrons · Physics 2013-06-10 Ariel Dobry , Akbar Jaefari , Eduardo Fradkin

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

Strongly Correlated Electrons · Physics 2011-01-10 Kingshuk Majumdar

We study the S=1 square lattice Heisenberg antiferromagnet with spatially anisotropic nearest neighbor couplings $J_{1x}$, $J_{1y}$ frustrated by a next-nearest neighbor coupling $J_{2}$ numerically using the density-matrix renormalization…

Strongly Correlated Electrons · Physics 2015-05-13 H. C. Jiang , F. Krüger , J. E. Moore , D. N. Sheng , J. Zaanen , Z. Y. Weng

We study a system of one-dimensional t-J models coupled to a ladder system. A special choice of the interaction between neighbouring rungs leads to an integrable model with supersymmetry, which is broken by the presence of rung…

Condensed Matter · Physics 2009-10-31 Holger Frahm , Anjan Kundu

We investigate the ground state phase diagram of the S=1/2 two-leg $XXZ$ spin ladder system with an isotropic interchain coupling. In this model, there is the Berezinskii-Kosterlitz-Thouless transition which occurs at the XY-Haldane and the…

Strongly Correlated Electrons · Physics 2009-11-11 K. Hijii , A. Kitazawa , K. Nomura

We study the $S = 1/2$ Heisenberg antiferromagnet on the Lieb lattice accompanied by additional interactions that create frustration. The system exhibits a ferrimagnetic ground state in the absence of frustration. Further, we successfully…

Strongly Correlated Electrons · Physics 2024-10-16 Rito Furuchi , Hiroki Nakano , Tôru Sakai

The ground-state properties of the S=1/2 frustrated Heisenberg spin chain with interactions up to fourth nearest neighbors are investigated by the exact-diagonalization method and density matrix renormalization group method. Our numerical…

Strongly Correlated Electrons · Physics 2011-03-30 Tokuro Shimokawa , Hiroki Nakano