Phase separation versus supersolid behavior in frustrated antiferromagnets

Albuquerque, A. Fabricio; Laflorencie, Nicolas; Picon, Jean-David; Mila, Frédéric

doi:10.1103/physrevb.83.174421

Cited by 21 publications

(21 citation statements)

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“…This is because certain spin systems can be effectively regarded as bose systems [7][8][9]. After a theoretical proposal of SS in a dimer spin system [10], spin systems are attracting much attention as a promising candidate to find SS phases [10][11][12][13][14][15]. One example is the spin-1 Heisenberg model with an anisotropy, which is effectively obtained from a spin-1 frustrated dimer model [11].…”

Section: Introductionmentioning

confidence: 99%

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Supersolid states in a spin system: Phase diagram and collective excitations

2013

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Phases analogous to supersolids can be realized in spin systems. Here we obtain the phase diagram of a frustrated dimer spin-1/2 system on a square lattice and study the collective excitation spectra, focusing on the supersolid state (SS). In the phase diagram on a parameter space of the exchange interaction and magnetic field, we find, on top of the SS phase, a phase that has no counterpart in the Bose Hubbard model and this state becomes dominant at the region where the enhancement of SS occurs in the bose Hubbard model. We then investigate the excitation spectrum and spinspin correlation, which can be detected by neutron scattering experiments. We obtain an analytic expression for the spin wave velocity, which agrees with hydrodynamic relations. The intensity of excitation modes in the spin-spin correlation function is calculated and their change in the supersolid and superfluid states is discussed.PACS numbers: 75.10. Jm, 75.40.Gb, 64.70.Tg, 03.75. Kk INTRODUCTIONSupersolid (SS) state is a phase where both offdiagonal long-range order and diagonal-long range order coexist. After the non-classical rotational inertia experiment in He 4 suggested an SS phase, the SS state attracted considerable interest [1]. However, the interpretation of the result is still controversial [2], and efforts to find SS continue. Lattice systems are other candidates to find SS than He 4 . Cold atoms on optical lattices are one of them. A proposal [3] was made based on the fact that the extended bose Hubbard model with a nearest neighbor interaction shows SS [4,5]. Dipole-dipole interaction is also suggested to help realizing SS [6].Another, entirely different avenue to find SS in lattice systems is to consider quantum magnets. This is because certain spin systems can be effectively regarded as bose systems [7][8][9]. After a theoretical proposal of SS in a dimer spin system [10], spin systems are attracting much attention as a promising candidate to find SS phases [10][11][12][13][14][15]. One example is the spin-1 Heisenberg model with an anisotropy, which is effectively obtained from a spin-1 frustrated dimer model [11]. Another example is the spin-1/2 dimer model with large Ising-like exchange anisotropy [10,12]. The anisotropy can be effectively realized in a lattice with large frustration. Ref. [13] has investigated a frustrated spin-1/2 spin-dimer Heisenberg model with spin-isotropic couplings on square lattice( Fig.1), and shown that the model actually exhibits a SS state. However, the study was concentrated on a specific choice of parameters, while the phase diagram in a wider parameter space has yet to be determined. In addition, experimentally relevant properties of the SS phase have not been fully understood, either.These have motivated us, in the present work, to investigate the phase diagram and dynamical properties of the frustrated spin-1/2 dimer Heisenberg model on square lattice. There, we employ the bond operator method as well as the generalized spin wave theory. In the phase diagram on a parameter space of t...

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Section: Introductionmentioning

confidence: 99%

“…In the following, we focus on the intensity of the single spin wave peak by taking |k, τ = β † k,τ |vac as |n , where β † k,τ is defined in eqn. (14). Within the spin wave theory, one can evaluate the coefficient of the delta-function (δ(ω − ǫ n ) in Eq.…”

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confidence: 99%

Supersolid states in a spin system: Phase diagram and collective excitations

2013

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“…После того как была до-казана возможность реализации сверхтвердой фазы в двухподрешеточных спиновых системах [11,12], такие системы стали одними из перспективных кандидатов для обнаружения данного состояния [11,[13][14][15][16][17][18][19]. Например, к такого рода системам относится низкоразмерный гей-зенберговский антиферромагнетик со спином единица, обладающий одноионной анизотропией [13].…”

Section: Introductionunclassified

Сверхтвердая Магнитная Фаза В Двумерном Изингоподобном Антиферромагнетике С Большой Одноионной Анизотропией

Мелешко¹,

Клевец²,

Гореликов³

et al. 2017

Физика Твердого Тела

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Исследована модель Изинга с фрустрированным обменным взаимодействием для ультратонкой сильно анизотропной антиферромагнитной пленки в среднеполевом приближении при низкой температуре. Показано, что при определенном соотношении величин материальных констант в системе может реализоваться пространственно-неоднородное состояние наряду с однородными состояниями: ферромагнитной, квадрупольной или сверхтвердой магнитной фазой. На основе анализа линий устойчивости построена фазовая диаграмма системы. Ф.Н. Клевец и А.Г. Мелешко благодарят фонд Дмитрия Зимина Династия" за финансовую поддержку. Работа выполнена при финансовой поддержке РФФИ (проекты N 16-02-00069 а, 15-42-01007 р\_юг\_а, 16-42-910441 р\_a и 16-32-00098). DOI: 10.21883/FTT.2017.09.44842.040

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“…The magnetostatic problem is ubiquitous for any system that involves patterned micronor sub-micron size magnetic bodies, such as read or write heads in magnetic hard disk drives, magnetic nanoparticles 25 , coupled magnetic disks 26,27 , or artificial spin ices 28 . In patterned ferromagnetic systems, there typically arises a competition between the short-range exchange interactions and long-range magnetostatic interactions.…”

Section: B Magnetostatic Problemmentioning

confidence: 99%

An O(N) and parallel approach to integral problems by a kernel-independent fast multipole method: Application to polarization and magnetization of interacting particles

Jiang

Zhao

et al. 2016

The Journal of Chemical Physics

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we solve a boundary value problem for a ferroelectric/ferromagnetic volume in free space. In the second, we solve an electrostatic problem involving polarizable dielectric bodies in an unbounded dielectric medium. The results from these test cases show that our proposed parallel approach, which is built on a kernel-independent FMM, can enable highly efficient and accurate simulations and allow for considerable flexibility in a broad range of applications.

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Phase separation versus supersolid behavior in frustrated antiferromagnets

Cited by 21 publications

References 38 publications

Supersolid states in a spin system: Phase diagram and collective excitations

Supersolid states in a spin system: Phase diagram and collective excitations

Сверхтвердая Магнитная Фаза В Двумерном Изингоподобном Антиферромагнетике С Большой Одноионной Анизотропией

An O(N) and parallel approach to integral problems by a kernel-independent fast multipole method: Application to polarization and magnetization of interacting particles

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