Magnetic properties of two-dimensional quantum antiferromagnet Cu(D2O)2(C2H6D2N2)SO4

Sedláková, L.; Tarasenko, R.; Potočňák, Ivan; Orendáčová, A.; Kajňaková, M.; Orendáč, M.; Стародуб, В. А.; Anders, A. G.; Kravchyna, O.; Feher, A.

doi:10.1016/j.ssc.2008.06.018

Cited by 3 publications

(1 citation statement)

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“…Intensive theoretical studies of the ground-state and finite-temperature properties of the square lattice (R = 1) provided reach variety of theoretical predictions allowing reliable identification of real candidates. Besides the materials manifesting the model realization of the S = 1/2 HAF square lattice, there appeared two-dimensional quantum systems with some amount of the spatial anisotropy of the intra-layer exchange coupling which could not be well determined due to the lack of proper theoretical predictions [65][66][67][68][69][70]. Using various approaches, the ground-state properties of the spatially anisotropic square lattice (Equation (4)) were investigated in the vicinity of the isotropic model (R = 1) and 1D chain (R = 0).…”

Section: The S = 1/2 Heisenberg Antiferromagnet On the Spatially Anismentioning

confidence: 99%

Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2

et al. 2018

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Quantum Heisenberg chain and square lattices are important paradigms of a low-dimensional magnetism. Their ground states are determined by the strength of quantum fluctuations. Correspondingly, the ground state of a rectangular lattice interpolates between the spin liquid and the ordered collinear Néel state with the partially reduced order parameter. The diversity of additional exchange interactions offers variety of quantum models derived from the aforementioned paradigms. Besides the spatial anisotropy of the exchange coupling, controlling the lattice dimensionality and ground-state properties, the spin anisotropy (intrinsic or induced by the magnetic field) represents another important effect disturbing a rotational symmetry of the spin system. The S = 1/2 easy-axis and easy-plane XXZ models on the square lattice even for extremely weak spin anisotropies undergo Heisenberg-Ising and Heisenberg-XY crossovers, respectively, acting as precursors to the onset of the finite-temperature phase transitions within the two-dimensional Ising universality class (for the easy axis anisotropy) and a topological Berezinskii-Kosterlitz-Thouless phase transition (for the easy-plane anisotropy). Experimental realizations of the S = 1/2 two-dimensional XXZ models in bulk quantum magnets appeared only recently. Partial solutions of the problems associated with their experimental identifications are discussed and some possibilities of future investigations in quantum magnets on the square and rectangular lattice are outlined.Heisenberg models [6][7][8]. Berezinskii revealed that eigenstates of the Hamiltonian describing the 2D lattice of planar rotators, 2D Bose liquid, and 2D XY magnet can be sorted into two classes; localized "vortices" characterized by a nonzero circulation along a minimum closed contour of the square lattice and displaced harmonic oscillations-spin waves with zero circulation [9,10]. Below a critical temperature related to some phase transition, the vortices form configurations with a total zero circulation. Kosterlitz and Thouless introduced a definition of a topological long-range order adopted from the dislocation theory of melting [11]. In a 2D crystal, authors showed that at low temperatures, dislocations with Burgers vector of the magnitude b tend to form closely bound dipole pairs with resulting b = 0. Above some critical temperature, the pairs start to dissociate and the dislocations will appear spontaneously. The same type of argument can be applied for the 2D XY model and 2D neutral superfluid. While in the 2D XY model, a logarithmically large energy barrier, V(r)~-ln(r), stabilizes a topological order formed by the bound pairs of vortices, in the case of the 2D Heisenberg model, there is no topological order, since energy barriers separating different configurations are small, allowing continuous changes between individual configurations [11].Many theoretical studies showed that phase transitions in the 2D systems such as granular superconducting films, superfluid films, 2D Coulomb gas etc., with c...

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Section: The S = 1/2 Heisenberg Antiferromagnet On the Spatially Anismentioning

confidence: 99%

Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2

et al. 2018

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Spin anisotropy in Cu(en)(H2O)2SO
Tarasenko¹,
Orendáčová²,
Čižmár³
et al. 2013
Phys. Rev. B
11
1
6
0
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Realization of a spin-12spatially anisotropic square lattice in a quasi-two-dimensional quantum antiferromagnetCu(en)(H2
Lederová
¹
,
Orendáčová
²
,
Chovan
³

et al. 2017
Phys. Rev. B
20
2
20
0
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Magnetic properties of two-dimensional quantum antiferromagnet Cu(D2O)2(C2H6D2N2)SO4

Cited by 3 publications

References 5 publications

Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2

Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2

Spin anisotropy in Cu(en)(H2O)2SO
Tarasenko¹,
Orendáčová²,
Čižmár³
et al. 2013
Phys. Rev. B
11
1
6
0
View full text Add to dashboard Cite

Realization of a spin-12spatially anisotropic square lattice in a quasi-two-dimensional quantum antiferromagnetCu(en)(H2
Lederová
¹
,
Orendáčová
²
,
Chovan
³

et al. 2017
Phys. Rev. B
20
2
20
0
View full text Add to dashboard Cite

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Magnetic properties of two-dimensional quantum antiferromagnet Cu(D2O)2(C2H6D2N2)SO4

Cited by 3 publications

References 5 publications

Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2

Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2

Spin anisotropy in Cu(en)(H2O)2SOTarasenko1, Orendáčová2, Čižmár3 et al. 2013Phys. Rev. B11160View full textAdd to dashboardCite

Realization of a spin-12spatially anisotropic square lattice in a quasi-two-dimensional quantum antiferromagnetCu(en)(H2Lederová1, Orendáčová2, Chovan3 et al. 2017Phys. Rev. B202200View full textAdd to dashboardCite

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Spin anisotropy in Cu(en)(H2O)2SO
Tarasenko¹,
Orendáčová²,
Čižmár³
et al. 2013
Phys. Rev. B
11
1
6
0
View full text Add to dashboard Cite

Realization of a spin-12spatially anisotropic square lattice in a quasi-two-dimensional quantum antiferromagnetCu(en)(H2
Lederová
¹
,
Orendáčová
²
,
Chovan
³

et al. 2017
Phys. Rev. B
20
2
20
0
View full text Add to dashboard Cite