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We study the one-dimensional spin-1/2 Heisenberg chain with competing ferromagnetic nearest-neighbor J_1 and antiferromagnetic next-nearest-neighbor J_2 exchange couplings in the presence of magnetic field. We use both numerical approaches…

Strongly Correlated Electrons · Physics 2008-10-07 Toshiya Hikihara , Lars Kecke , Tsutomu Momoi , Akira Furusaki

The spin-$3/2$ chain is a versatile prototypical platform for the study of competition between different kinds of magnetic orders, with the objective of obtaining a deeper understanding of the corresponding quantum phase transitions. In…

Strongly Correlated Electrons · Physics 2025-03-12 Ji-Lu He , Sebastian Eggert , Haiqing Lin , Xiaoqun Wang , Shi-Jie Hu

The ground-state phase diagram of a spin-1/2 XXZ chain with competing ferromagnetic nearest-neighbor (J_1<0) and antiferromagnetic second-neighbor (J_2>0) exchange couplings is studied by means of the infinite time evolving block decimation…

Strongly Correlated Electrons · Physics 2012-09-14 Shunsuke Furukawa , Masahiro Sato , Shigeki Onoda , Akira Furusaki

The ground-state phase diagram of frustrated S=1 XXZ spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied using the infinite-system density-matrix renormalization-group method. We find six…

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

The ordering of the frustrated S=1/2 XY spin chain with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings, J_1 and J_2, is studied by using the density-matrix renormalization-group method. It is found that besides…

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

By means of a numerical analysis using a non-Abelian symmetry realization of the density matrix renormalization group, we study the behavior of vector chirality correlations in isotropic frustrated chains of spin S=1 and S=1/2, subject to a…

Strongly Correlated Electrons · Physics 2008-04-22 I. P. McCulloch , R. Kube , M. Kurz , A. Kleine , U. Schollwock , A. K. Kolezhuk

We propose a mechanism of a vector chiral long-range order in two-leg spin-1/2 and spin-1 antiferromagnetic ladders with four-spin exchanges and a Zeeman term. It is known that for one-dimensional quantum systems, spontaneous breakdown of…

Strongly Correlated Electrons · Physics 2011-11-09 Masahiro Sato

The frustrated spin-1/2 model with weakly anisotropic ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchanges is studied with use of variational mean-field approach, scaling estimates of the infrared…

Strongly Correlated Electrons · Physics 2009-11-13 D. V. Dmitriev , V. Ya. Krivnov

The ground state phase diagram of a spin $S=1/2$ $XXZ$ Heisenberg chain with spatially modulated Dzyaloshinskii-Moriya (DM) interaction $ {\cal H}= \sum_n J\left[\left(S^x_n S^x_{n+1} +S^y_n S^y_{n+1}+\Delta S^z_n…

Strongly Correlated Electrons · Physics 2019-06-04 N. Avalishvili , G. I. Japaridze , G. L. Rossini

The ground-state phase transitions of a frustrated S=1 Heisenberg chain with the uniaxial single-ion-type anisotropy and the frustrating next-nearest-neighbor coupling are studied. For the system, it has been shown that there are gapless…

Statistical Mechanics · Physics 2009-10-31 Toshiya Hikihara

The spin-$1/2$ Heisenberg chain with a ferromagnetic first-neighbor exchange coupling $J_1$ and an antiferromagnetic second-neighbor $J_2$ has a Haldane dimer ground state with an extremely small spin gap. Thus, the ground state is readily…

Strongly Correlated Electrons · Physics 2020-07-03 Hiroshi Ueda , Shigeki Onoda

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

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

In frustrated spin-1/2 chains the competition between the nearest- and next-nearest-neighbor exchange interactions leads to a rich phase diagram that becomes even richer in the presence of perturbations in their material realizations. These…

Strongly Correlated Electrons · Physics 2022-05-25 M. Pregelj , A. Zorko , D. Arčon , M. Klanjšek , N. Janša , P. Jeglič , O. Zaharko , S. Krämer , M. Horvatić , A. Prokofiev

We study the interplay of electric and magnetic order in the one dimensional Heisenberg spin-1/2 XXZ chain with large Ising anisotropy in the presence of the Dzyaloshinskii-Moriya (D-M) interaction and with longitudinal and transverse…

Strongly Correlated Electrons · Physics 2018-02-22 Pradeep Thakur , P. Durganandini

We study the spin-1/2 XX model extended with three-spin interactions of the XZX+YZY and XZY-YZX types. We solve the model exactly and obtain the ground state phase diagram as a function of the two three-spin coupling strengths. We show that…

Strongly Correlated Electrons · Physics 2023-05-17 Pradeep Thakur , P. Durganandini

We obtain the ground-state phase diagram of two spin chains consisting in a set two-level systems asymmetrically coupled to an XX chain through a chiral interaction. The interaction is parametrized by its magnitude and an angle defined by…

Quantum Physics · Physics 2026-01-13 Rafael D. Soares , J. M. Viana Parente Lopes , Hugo Terças

We consider the ground-state phase diagram of a one-dimensional spin-1/2 XXZ chain with spatially modulated Dzyaloshinskii-Moriya interaction in the presence of applied along with the $\hat{z}$ axis alternating magnetic field. The model is…

Strongly Correlated Electrons · Physics 2021-08-04 G. I. Japaridze , H. Cheraghi , S. Mahdavifar

We investigate the spin-stripe mechanism responsible for the peculiar nanometer modulation of the incommensurate magnetic order that emerges between the vector-chiral and the spin-density-wave phase in the frustrated zigzag spin-1/2 chain…

Strongly Correlated Electrons · Physics 2016-08-31 M. Pregelj , O. Zaharko , M. Herak , M. Gomilsek , A. Zorko , L. C. Chapon , F. Bourdarot , H. Berger , D. Arčon

We summarize our theoretical findings on the ground-state phase diagram of the spin-1/2 XXZ chain having competing nearest-neighbor (J1) and antiferromagnetic next-nearest-neighbor (J2) couplings. Our study is mainly concerned with the case…

Strongly Correlated Electrons · Physics 2015-03-17 Masahiro Sato , Shunsuke Furukawa , Shigeki Onoda , Akira Furusaki
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