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The disordered quasi-1D magnet BaCu2SiGeO7 is considered as one of the best physical realizations of the random Heisenberg chain model, which features an irregular distribution of the exchange parameters and whose ground state is predicted…

Strongly Correlated Electrons · Physics 2013-09-02 T. Shiroka , F. Casola , W. Lorenz , A. Zheludev , H. -R. Ott , J. Mesot

The frustrated spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice has been extensively studied since 1988 because of its close relationship to the high-temperature superconductivity in cuprates and more importantly involved novel…

Strongly Correlated Electrons · Physics 2023-10-16 Yun-Tong Yang , Fu-Zhou Chen , Chen Cheng , Hong-Gang Luo

In the present paper we study the phase diagram of the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line $J_2=J_3$ that include the point $J_2=J_3=J_1/2$, corresponding to the…

Strongly Correlated Electrons · Physics 2015-03-13 D. C. Cabra , C. A. Lamas , H. D. Rosales

We use a tensor network renormalization group method to study random $S=2$ antiferromagnetic Heisenberg chains with alternating bond strength distributions. In the absence of randomness, bond alternation induces two quantum critical points…

Strongly Correlated Electrons · Physics 2023-12-18 Yen-Tung Lin , Shao-Fu Liu , Pochung Chen , Yu-Cheng Lin

Motivated by exploring doped multi-orbital antiferromagnets (AFMs) and altermagnets (ALMs) we explore minimal $t$-$J$ models on the square-octagon lattice which favor such collinear magnetic orders in the regime where spin exchange…

Strongly Correlated Electrons · Physics 2025-02-20 Anjishnu Bose , Samuel Vadnais , Arun Paramekanti

We show that short-range resonating-valence-bond correlations and long-range order can coexist in the ground state (GS) of a frustrated spin system. Our study comprises a comprehensive investigation of the quantum magnetism on the…

Strongly Correlated Electrons · Physics 2022-08-16 Long Yuan , Yuqian Zhao , Boqiang Li , Yiru Song , Yuanhua Xia , Benqiong Liu , Junfeng Wang , Yuesheng Li

We construct and study two frustrated quantum spin-1/2 models on square lattice, which are like the antiferromagnetic $J_1$-$J_2$ model with some additional four-spin exchange interactions. These models admit an exactly solvable case in…

Strongly Correlated Electrons · Physics 2009-06-01 Rakesh Kumar , Brijesh Kumar

We use a modified perturbative renormalization group approach to study the random quantum antiferromagnetic spin-3/2 chain. We find that in the case of rectangular distributions there is a quantum Griffiths phase and we obtain the dynamical…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Saguia , B. Boechat , M. A. Continentino

Quasiperiodic structures possess long range positional order, but are freed of constraints imposed by translational invariance. For spins interacting via Heisenberg couplings, one may expect therefore to find novel magnetic configurations…

Strongly Correlated Electrons · Physics 2008-10-15 Anuradha Jagannathan , Attila Szallas

We study an asymmetric $J_1$-$J_2$ zigzag ladder consisting of two different spin-$\frac{1}{2}$ antiferromagnetic (AFM; $J_2$, $\gamma J_2>0$) Heisenberg legs coupled by zigzag-shaped ferromagnetic (FM; $J_1<0$) inter-leg interaction. On…

Strongly Correlated Electrons · Physics 2020-03-13 Tomoki Yamaguchi , Stefan-Ludwig Drechsler , Yukinori Ohta , Satoshi Nishimoto

We report muon spin relaxation ($\mu$SR) and magnetic susceptibility measurements on Cu(Cl,Br)La(Nb,Ta)$_{2}$O$_{7}$, which demonstrate: (a) the absence of static magnetism in (CuCl)LaNb$_{2}$O$_{7}$ down to 15 mK confirming a spin-gapped…

We introduce a model compound featuring a spin-1/2 frustrated square lattice partially coupled by spin-5/2. A significant magnetization plateau exceeding 60 T could be observed, indicating a quantum state formed by $S$ = 1/2 spins in the…

We study the 1D quantum Heisenberg chain with randomly ferromagnetic or antiferromagnetic couplings (a model previously studied by approximate strong-disorder RG). We find that, at least for sufficiently large spin $S$, the ground state has…

Strongly Correlated Electrons · Physics 2024-08-26 Michele Fava , Jesper Lykke Jacobsen , Adam Nahum

The square lattice antiferromagnet with frustrating next nearest neighbour coupling continues to generate tremendous interest, with an elusive quantum disordered phase in the vicinity of $J_2$ = $J_1$/2. At this precise value of…

Strongly Correlated Electrons · Physics 2016-10-05 Bimla Danu , Gautam Nambiar , R. Ganesh

We propose that a valence-bond-solid (VBS) order can be stabilized in certain two-dimensional antiferromagnets due to spin-lattice coupling. In contrast to the VBS state of the Affleck-Kennedy-Lieb-Tesaki (AKLT) type in which the spin $2S$…

Strongly Correlated Electrons · Physics 2009-11-11 Chenglong Jia , Jung Hoon Han

We investigate the impact of random bond disorder on quantum skyrmions using a spin-half quantum Heisenberg model on the square lattice with Dzyaloshinskii-Moriya interaction, Heisenberg anisotropy, and boundary-pinned magnetic field.…

Strongly Correlated Electrons · Physics 2025-10-21 Amit Kumar , Kalpataru Pradhan

We consider doping of non-magnetic impurities in the spin-1/2, 1/5-depleted square lattice. This structure, whose undoped phase diagram offers both magnetically ordered and spin-liquid ground states, is realized physically in CaV_4O_9.…

Strongly Correlated Electrons · Physics 2009-10-31 S. Wessel , B. Normand , M. Sigrist , S. Haas

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

Using both exact diagonalizations and diagonalizations in a subset of short-range valence bond singlets, we address the nature of the groundstate of the Heisenberg spin-1/2 antiferromagnet on the square lattice with competing next-nearest…

Strongly Correlated Electrons · Physics 2007-05-23 M. Mambrini , A. Laeuchli , D. Poilblanc , F. Mila

The paper considers the effects of random fluctuations of the local spin connectivities (fluctuations of the geometry) on ground state properties of a two-dimensional quantum antiferromagnet. We analyse the behavior of spins described by…

Strongly Correlated Electrons · Physics 2015-06-03 Anuradha Jagannathan , Benoit Douçot , Attila Szallas , Stefan Wessel
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