Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets

Plat, Xavier; Capponi, Sylvain; Pujol, Pierre

doi:10.1103/physrevb.85.174423

Cited by 14 publications

(16 citation statements)

References 52 publications

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“…We therefore conclude that the ground state is characterized by TLL1 of a chirality XY model consistent with the previous work by Plat et al 11) The local spin magnetization S z i, j of the above ground state is shown in Fig. 6 (b).…”

Section: J /J ⊥ 10supporting

confidence: 91%

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Ground State Phase Diagram of Twisted Three-Leg Spin Tube in Magnetic Field

Yonaga

Shibata

2015

J. Phys. Soc. Jpn.

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We study the ground state phase diagram of the twisted three-leg spin tube in magnetic fields by the density matrix renormalization group (DMRG) method. The twisted spin tube is composed of triangular unit cells and possesses strong quantum fluctuations under geometrical frustration. We apply the sine square deformation method to remove strong boundary effects and obtain smooth magnetization curves without steps of finite systems. With the analysis of the magnetization curves and correlation functions we determine the ground state phase diagram consisting of (a) a Tomonaga-Luttinger (TL) liquid characterized by spin-3 2 Heisenberg model, (b) 3-sublattice state named UUD with 1/3 magnetization and (c) TL-liquid of massless chirality with 1/3 magnetization plateau, (d) TL-liquid of massless spin mode with or without chirality quasi long-range order.

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Section: J /J ⊥ 10supporting

confidence: 91%

“…Since the spin excitation has a gap in the magnetization plateau, the low energy massless excitation of Eq. 5 is described by chirality 11) whose Hamiltonian is…”

Section: J /J ⊥ 10mentioning

confidence: 99%

Ground State Phase Diagram of Twisted Three-Leg Spin Tube in Magnetic Field

Yonaga

Shibata

2015

J. Phys. Soc. Jpn.

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“…In our case, in addition to the basic triangular geometry of the nanotube, the competition between J // and J ⊥ with opposite signs is indeed at the origin of the frustration giving rise to the magnetizing plateaus. Similar effects have been demonstrated in a triangular spin-½ tubes by using a combination of an integrated analytical pathway model with a strong coupling approach, as well as large-scale simulations of density matrix renormalization groups (DMRG) [30].…”

Section: Isothermal Magnetizationmentioning

confidence: 53%

Magnetization Plateaus at Low Temperature in a Triangular Spin Tube

2021

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We studied some magnetic behaviors of the Ising model in a triangular spin tube using the effective field theory (EFT) with correlations. We examined the effects of exchange anisotropy, and temperature T on the magnetic properties of the spin ½ Ising model in a triangular spin tube, particularly for isotherm magnetization, spontaneous magnetization, and magnetic susceptibility. We investigated the magnetic properties of the triangular spin ½ tube in detail. At low temperature, magnetization curves of a triangular spin ½ tube of the Ising model with the intra-triangular J ┴, and inter-triangular J // interaction exchange are examined within the behavior magnetic. It is shown that the developed model satisfactorily describes all pronounced features of the low-temperature magnetization process and the magnetothermodynamics such as abrupt changes of the isothermal magnetization curves, a giant magnetocaloric effect. Among the most notable features of zero-temperature magnetization curves, one could mention fractional magnetization plateaus, quantum spin liquids, and macroscopic magnetization jumps, which can be found first of all in frustrated quantum Heisenberg spin models.

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“…Similar magnon-crystal ground states are present in other frustrated quantum spin system in one-, two-, and three-dimensional systems 43 . Our results are the semiclassical description of the exactly factorized ground state for general spin S, as has been done in some frustrated quantum spin chains 44,45 .…”

Section: Dominant Inter-layer Couplingmentioning

confidence: 55%

An effective field theory approach for the $S = 3/2$ bilayer honeycomb antiferromagnet

Acevedo,

Lamas,

Pujol

2021

Preprint

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Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets

Cited by 14 publications

References 52 publications

Ground State Phase Diagram of Twisted Three-Leg Spin Tube in Magnetic Field

Ground State Phase Diagram of Twisted Three-Leg Spin Tube in Magnetic Field

Magnetization Plateaus at Low Temperature in a Triangular Spin Tube

An effective field theory approach for the $S = 3/2$ bilayer honeycomb antiferromagnet

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