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The $J_1-J_3$ Heisenberg spin models with nearest-neighbor ($J_1$) and additional isotropic three-site ($J_3$) spin interactions remain relatively less explored, although such types of competing exchange terms can naturally emerge from…

Strongly Correlated Electrons · Physics 2021-01-19 N. B. Ivanov

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 consider a class of one-dimensional Heisenberg spin models (plaquette chains) related to the recently found 1/5-depleted square-lattice Heisenberg system $CaV_4O_9$. A number of exact and exact-numerical results concerning the properties…

Condensed Matter · Physics 2010-06-23 N. B. Ivanov , J. Richter

The magnetic and thermodynamic properties of spin-1/2 Heisenberg diamond chains are investigated in three different cases: (a) J1, J2, J3>0 (frustrated); (b) J1, J3<0, J2>0 (frustrated); and (c) J1, J2>0, J3<0 (non-frustrated). The density…

Strongly Correlated Electrons · Physics 2009-11-13 Bo Gu , Gang Su

By using the infinite time-evolving block decimation, we study quantum fidelity and entanglement entropy in the spin-1/2 Heisenberg alternating chain under an external magnetic field. The effects of the magnetic field on the fidelity are…

Quantum Physics · Physics 2019-09-04 Wei-Xia Chen , Jie Ren , Wen-Long You , Xiang Hao , Yin-Zhong Wu

Chubukov's proposal concerning the possibility of a nondimerized quantum nematic phase in the ground-state phase diagram of the bilinear-biquadratic spin-1 chain is studied numerically. Our results do not support the existence of this…

Condensed Matter · Physics 2009-10-28 G. Fáth , J. Sólyom

We investigate the quantum phase transition in the alternating XY chain with the XZX+YZY type of three-spin interactions. We present the exact solution derived by means of the Jordan-Wigner transformation and study the average…

Statistical Mechanics · Physics 2024-11-19 Kaiyuan Cao , Hao Fu , Xue Liu , Ming Zhong , Peiqing Tong

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

Motivated by recent progress on field-induced phase transitions in quasi-one-dimensional quantum antiferromagnets, we study the phase diagram of $S=1/2$ antiferromagnetic Heisenberg chains with Ising anisotropic interchain couplings under a…

Strongly Correlated Electrons · Physics 2020-03-25 Yuchen Fan , Jiahao Yang , Weiqiang Yu , Jianda Wu , Rong Yu

Higher-spin quantum magnets with competing interactions offer a rich platform for exploring quantum phases that transcend the paradigms of spin-1/2 systems, owing to their enlarged local Hilbert spaces and the emergence of multipolar…

Strongly Correlated Electrons · Physics 2025-12-23 Zhiling Wei , Zhengzhong Du , Xiaodong Cao , Wen-Long You , Yi Lu

A series of symmetry-protected topological(SPT) and trivial spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with alternating next-nearest-neighbour interaction are investigated using two kinds…

Strongly Correlated Electrons · Physics 2016-11-28 Kazuo Hida

We study s=1/2 Heisenberg spin ladder with the four spin exchange. Combining numerical results with the conformal field theory(CFT), we find a phase transition with central charge c=3/2. Since this system has an SU(2) symmetry, we can…

Statistical Mechanics · Physics 2009-11-07 Keigo Hijii , Kiyohide Nomura

We systematically study the effects of higher-order interactions on the S = 3/2, 1 orthogonal dimer chains using exact diagonalization and density matrix renormalization group. Due to frustration and higher spin, there are rich quantum…

Strongly Correlated Electrons · Physics 2023-12-06 Ke Ren , Muwei Wu , Shou-Shu Gong , Dao-Xin Yao , Han-Qing Wu

A general formalism of the relation between geometric phases produced by circularly evolving interacting spin systems and their criticality behavior is presented. This opens up the way for the use of geometric phases as a tool to study…

Quantum Physics · Physics 2009-11-13 Jiannis K. Pachos , Angelo C. M. Carollo

We analysed the ground state energy of some dimerized spin-1/2 transverse XX and Heisenberg chains with Dzyaloshinskii-Moriya (DM) interaction to study the influence of the latter interaction on the spin-Peierls instability. We found that…

Condensed Matter · Physics 2009-10-31 O. Derzhko , J. Richter , O. Zaburannyi

The topological classification of a series of frustration-induced spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with next-nearest-neighbour interaction reported in J. Phys. Soc. Jpn. 82,…

Strongly Correlated Electrons · Physics 2016-01-11 Kazuo Hida

The phase diagram of the spin-1 chain with bilinear-biquadratic and next-nearest neighbor inter- actions, recently investigated by Pixley, Shashi and Nevidomskyy [Phys. Rev. B 90, 214426 (2014)], has been revisited in the light of results…

Strongly Correlated Electrons · Physics 2016-11-02 Natalia Chepiga , Ian Affleck , Frederic Mila

We propose the realization of linear crystals of cold ions which contain different atomic species for investigating quantum phase transitions and frustration effects in spin system beyond the commonly discussed case of $s=1/2$. Mutual…

Quantum Physics · Physics 2015-05-28 Peter A. Ivanov , Ferdinand Schmidt-Kaler

We investigate the spin-1/2 Heisenberg model with competing ferromagnetic and antiferromagnetic interactions on diamond-decorated lattices. Tuning the exchange interactions to the boundary of the ferromagnetic phase, we analyze the models…

Strongly Correlated Electrons · Physics 2026-01-07 D. V. Dmitriev , V. Ya. Krivnov , O. A. Vasilyev

The quantum phase transition, scaling behaviors, and thermodynamics in the spin-1/2 quantum Heisenberg model with antiferromagnetic coupling $J>0$ in armchair direction and ferromagnetic interaction $J'<0$ in zigzag direction on a honeycomb…

Strongly Correlated Electrons · Physics 2016-06-08 Yi-Zhen Huang , Bin Xi , Xi Chen , Wei Li , Zheng-Chuan Wang , Gang Su
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