Helical Quantum States in a Strongly Frustrated Two-Dimensional Magnet


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Thermodynamic properties of the J1J2J3 quantum Heisenberg model are investigated on a square lattice with spin S = 1/2. The calculation of spin–spin correlators, spin excitation spectra, susceptibility, and heat capacity within a spherically symmetric approach shows that the third exchange J3 may qualitatively change the properties of the system. Along with standard short-range order (antiferromagnetic, ferromagnetic, and stripe) structures, various quantum helices arise. In particular, these structures may be isotropic with a local minimum of the spectrum along a circle in the Brillouin zone. The character of these states represents both ferromagnetic and antiferromagnetic “twisted” quantum spin ordering. Moreover, a range of parameters is determined in which heat capacity exhibits two-peak temperature behavior.

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A. Mikheenkov

Moscow Institute of Physics and Technology; Vereshchagin Institute for High-Pressure Physics; National Research Center “Kurchatov Institute,”

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Email: mikheen@bk.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141701; Troitsk, Moscow oblast, 108840; Moscow, 123182

V. Valiulin

Moscow Institute of Physics and Technology; National Research Center “Kurchatov Institute,”

Email: mikheen@bk.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141701; Moscow, 123182

A. Shvartsberg

Moscow Institute of Physics and Technology

Email: mikheen@bk.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141701

A. Barabanov

Vereshchagin Institute for High-Pressure Physics

Email: mikheen@bk.ru
俄罗斯联邦, Troitsk, Moscow oblast, 108840

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