Anisotropic exchange in 
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Seidov, Z.; Гаврилова, Т. П.; Еремина, Р. М.; Svistov, L. E.; Bush, A. A.; Loidl, A.; Nidda, H.-A. Krug von

doi:10.1103/physrevb.95.224411

Cited by 9 publications

(4 citation statements)

References 63 publications

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“…In our numerical study with couplings J 1 = 1, J 2 = −0.6, D = 0.3, this was indeed the case for the scar state in the sector k = 0, S z Tot = 0, g = 1. We note that the "CuO 2 ribbon chain" materials [87][88][89][90]92] have the desired opposite signs of J 1 and J 2 .…”

Section: Application: Reduction To New Spin-1/2 Models With a Magnon mentioning

confidence: 81%

“…This model has been considered in the context of the magnetoelectric effect in ferroelectric materials [84][85][86] and is believed to describe materials such as LiCuVO 4 [87,88] and LiCu 2 O 2 [89,90]. The DM interaction breaks the spin-SU(2) symmetry, and the presence of this multiplet is a nontrivial "scar" property.…”

Section: Application: Reduction To New Spin-1/2 Models With a Magnon mentioning

confidence: 99%

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η -pairing states as true scars in an extended Hubbard model

2020

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The η-pairing states are a set of exactly known eigenstates of the Hubbard model on hypercubic lattices, first discovered by Yang [C. N. Yang, Phys. Rev. Lett. 63, 2144 (1989)]. These states are not many-body scar states in the Hubbard model because they occupy unique symmetry sectors defined by the so-called η-pairing SU(2) symmetry. We study an extended Hubbard model with bond-charge interactions, popularized by Hirsch [J. E. Hirsch, Physica C 158, 326 (1989)], where the η-pairing states survive without the η-pairing symmetry and become true scar states. We also discuss similarities between the η-pairing states and exact scar towers in the spin-1 XY model found by Schecter and Iadecola [M. Schecter and T. Iadecola, Phys. Rev. Lett. 123, 147201 (2019)], and systematically arrive at all nearest-neighbor terms that preserve such scar towers in one dimension. We also generalize these terms to arbitrary bipartite lattices. Our study of the spin-1 XY model also leads us to several scarred models, including a spin-1/2 J 1 − J 2 model with Dzyaloshinskii-Moriya interaction, in realistic quantum magnet settings in one and two dimensions.

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Section: Application: Reduction To New Spin-1/2 Models With a Magnon mentioning

confidence: 81%

Section: Application: Reduction To New Spin-1/2 Models With a Magnon mentioning

confidence: 99%

η -pairing states as true scars in an extended Hubbard model

2020

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“…The ESR spectrum consists of a single exchange-narrowed Lorentz line with a g-tensor given by g c = 2.28 and g a = g b = 2.05. Angular dependent ESR measurements revealed a significant anisotropy of the line width in the paramagnetic regime [99] as depicted in figure 8. Supported by a microscopic analysis of the exchange paths involved, it was shown that the symmetric anisotropic exchange contributions from NN inter-chain interaction J 1 (inset in the middle frame of figure 8) and NN intra-chain interaction J 2 (cf leading contribution in LiCuVO 4 , inset in the left frame) are not sufficient to explain the observed anisotropy with the prominent maximum of the line width for the magnetic field aligned along the a-axis.…”

Section: The Zig-zag Ladder Licu 2 Omentioning

confidence: 92%

Magnetic resonance in quantum spin chains with competing exchange interactions

Büttgen,

von Nidda

2024

J. Phys. A: Math. Theor.

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Based on a previous review on magnetic resonance in quantum spinchains [H.-A. Krug von Nidda, N. Büttgen, and A. Loidl, Eur. Phys. J. SpecialTopics 180, 161–189 (2010)] we report on further development in this field withspecial focus on transition–metal oxides and halogenides consisting of quasi one–dimensional spin systems, where both intra– and inter–chain exchange interaction may give rise to frustration effects and higher–order anisotropic exchange contributions like the Dzyaloshinskii–Moriya interaction become decisive for the formation of the magnetic ground state. Selected examples show how NMR and ESR contribute valuable information on the magnetic phases and exchange interactions involved:LiCuVO4 with competing nearest neighbour and next–nearest neighbour intra–chain exchange, LiCu2O2 with complex zig–zag chains, and Cs2CuCl4 where the chains form a triangular lattice with the inter–chain interaction weaker but of the same order of magnitude than the intra–chain interaction. The so called paper–chain compound Ba3Cu3In4O12, where each successive pair of CuO4 plaquettes is rotated by 90° with respect to its predecessor along the c–direction like in a paper–chain, provides an interesting topology of frustrated intra–chain exchange interactions. Finally, a few dimer systems are considered.

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“…The study of quantum phase transitions in low dimensional spin systems has been a Frontier area of research due to abundance of effective low-dimensional magnetic materials [1][2][3][4][5][6][7][8][9][10] which exhibits a zoo of phases [11][12][13][14][15][16][17][18][19][20][21][22][23]. The confinement and interplay of exchange interactions in low dimensional systems like spin chains [6,24,25], spin ladders [2,3,26,27] or two dimensional systems [28,29] can give rise to various interesting ground state (GS) properties [14,[30][31][32][33][34][35]. Recently syn-thesized materials show that many of these spin-1/2 systems are frustrated even in one dimension (1D) [7][8][9][10], whereas the low dimensional systems can be either geometrically frustrated i.e.…”

Section: Introductionmentioning

confidence: 99%

Quantum phases and thermodynamics of a frustrated spin-1/2 ladder with alternate Ising–Heisenberg rung interactions

Rahaman

Sahoo

Kumar

2021

J. Phys.: Condens. Matter

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We study a frustrated two-leg spin ladder with alternate isotropic Heisenberg and Ising rung exchange interactions, whereas, interactions along legs and diagonals are Ising-type. All the interactions in the ladder are anti-ferromagnetic in nature and induce frustration in the system. This model shows four interesting quantum phases: (i) stripe rung ferromagnetic (SRFM), (ii) stripe rung ferromagnetic with edge singlet (SRFM-E), (iii) anisotropic antiferromagnetic (AAFM), and (iv) stripe leg ferromagnetic (SLFM) phase. We construct a quantum phase diagram for this model and show that in stripe rung ferromagnet (SRFM), the same type of sublattice spins (either isotropic S-type or discrete anisotropic σ-type spins) are aligned in the same direction. Whereas, in anisotropic antiferromagnetic phase, both S and σ-type of spins are anti-ferromagnetically aligned with each other, two nearest S spins along the rung form an anisotropic singlet bond whereas two nearest σ spins form an Ising bond. In large Heisenberg rung exchange interaction limit, spins on each leg are ferromagnetically aligned, but spins on different legs are anti-ferromagnetically aligned. The thermodynamic quantities like specific heat C v (T), magnetic susceptibility χ(T) and thermal entropy S(T) are also calculated using the transfer matrix method for various phases. The magnetic gap in the SRFM and the SLFM can be noticed from χ(T) and C v (T) curves.

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Anisotropic exchange in LiCu2O2

Cited by 9 publications

References 63 publications

η -pairing states as true scars in an extended Hubbard model

η -pairing states as true scars in an extended Hubbard model

Magnetic resonance in quantum spin chains with competing exchange interactions

Quantum phases and thermodynamics of a frustrated spin-1/2 ladder with alternate Ising–Heisenberg rung interactions

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