Realization of a spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>spatially anisotropic square lattice in a quasi-two-dimensional quantum antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Cu</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>en</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn>2</mml:mn></mml:ms

Lederová, L.; Orendáčová, A.; Chovan, J.; Strečka, Jozef; Verkholyak, Taras; Tarasenko, R.; Legut, Dominik; Sýkora, Rudolf; Čižmár, E.; Tkáč, V.; Orendáč, M.; Feher, A.

doi:10.1103/physrevb.95.054436

Cited by 20 publications

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“…Recent first-principle studies of magnetic interactions in Cu(en)(H 2 O) 2 SO 4 revealed that the compound is a representative of a spatially anisotropic zig-zag square lattice [9]. Accordingly, a similar 2D lattice model can be expected also in Cu(tn)Cl 2 .…”

Section: Introductionmentioning

confidence: 91%

Experimental Study of Magneto-Structural Correlations in Low-Dimensional Quantum Magnets Cu(en)Cl₂and Cu(tn)Cl₂

et al. 2018

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The present work is focused on the investigation of magneto-structural correlations in Cu(en)Cl2 and Cu(tn)Cl2. A comparative study of powder susceptibility and magnetization of both compounds revealed that the replacement of tn by en ligand did not affect single-ion properties. On the other hand, the structure modification led to significant reduction of magnetic interactions as well as lowering the crystal symmetry. The impact of the high pressure on magnetic properties of the compounds is discussed.

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Section: Introductionmentioning

confidence: 91%

Experimental Study of Magneto-Structural Correlations in Low-Dimensional Quantum Magnets Cu(en)Cl₂and Cu(tn)Cl₂

et al. 2018

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“…As was shown in refs. [79,82], the difference in the maximum specific heat values for R = 1 and 0.7 is easily distinguishable. This approach was applied also in the determination of the 2D magnetic lattice in As was already mentioned, the compound Cu(pz) 2 (ClO 4 ) 2 was considered as a model system for the realization of the isotropic square lattice [59].…”

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

confidence: 97%

“…As was shown in refs. [79,82], the difference in the maximum specific heat values for R = 1 and 0.7 is easily distinguishable. This approach was applied also in the determination of the 2D magnetic lattice in the verdazyl radical α-2,3,5-Cl 3 -V (3-(2,3,5-trichlorophenyl)-1,5-diphenylverdazyl] (Figure 7) where DFT calculations revealed the formation of SAZZSL with R = 0.56 [85].…”

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

confidence: 97%

“…The calculations revealed the formation of a spatially anisotropic zig-zag square lattice ( Figure 7a) comprised of 2D array of weakly coupled zig-zag chains with R = J /J ≈ 0.15. Corresponding quantum Monte Carlo (QMC) calculations of finite-temperature properties of the S = 1/2 HAF on the spatially anisotropic zig-zag square lattice (SAZZSL) including specific heat, susceptibility and magnetization, provided theoretical predictions in a wide range of temperatures and magnetic fields [82]. Subsequent analysis of single-crystal Cu(en)(H 2 O) 2 SO 4 experimental data within the SAZZSL model found the excellent agreement for J/k B = 3.4 K and R = 0.35 (Figure 8).…”

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

confidence: 99%

“…Thus, to decide which model is appropriate for the description of the real compound, first-principle studies are very important. The comparison of the finite-temperature properties of the S = 1/2 HAF on the rectangular and zig-zag square lattice surprisingly revealed the identical behavior in the whole range of the spatial anisotropy R [77,82]. Thus, to decide which model is appropriate for the description of the real compound, first-principle studies are very important.…”

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

confidence: 99%

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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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A 3D Cu‐Naphthalene‐Phosphonate Metal–Organic Framework with Ultra‐High Electrical Conductivity

Peeples

Kober

Schmitt

et al. 2020

Adv Funct Materials

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A conductive phosphonate metal-organic framework (MOF), [{Cu(H 2 O)} (2,6-NDPA) 0.5 ] (NDPA = naphthalenediphosphonic acid), which contains a 2D inorganic building unit (IBU) comprised of a continuous edge-sharing sheet of copper phosphonate polyhedra is reported. The 2D IBUs are connected to each other via polyaromatic 2,6-NDPA's, forming a 3D pillared-layered MOF structure. This MOF, known as TUB40, has a narrow band gap of 1.42 eV, a record high average electrical conductance of 2 × 10 2 S m −1 at room temperature based on single-crystal conductivity measurements, and an electrical conductance of 142 S m −1 based on a pellet measurement. Density functional theory (DFT) calculations reveal that the conductivity is due to an excitation from the highest occupied molecular orbital on the naphthalene-building unit to the lowest unoccupied molecular orbital on the copper atoms. Temperature-dependent magnetization measurements show that the copper atoms are antiferromagnetically coupled at very low temperatures, which is also confirmed by the DFT calculations. Due to its high conductance and thermal/chemical stability, TUB40 may prove useful as an electrode material in supercapacitors.

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Realization of a spin-12spatially anisotropic square lattice in a quasi-two-dimensional quantum antiferromagnetCu(en)(H2

Cited by 20 publications

References 45 publications

Experimental Study of Magneto-Structural Correlations in Low-Dimensional Quantum Magnets Cu(en)Cl₂and Cu(tn)Cl₂

Experimental Study of Magneto-Structural Correlations in Low-Dimensional Quantum Magnets Cu(en)Cl₂and Cu(tn)Cl₂

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

A 3D Cu‐Naphthalene‐Phosphonate Metal–Organic Framework with Ultra‐High Electrical Conductivity

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Realization of a spin-12spatially anisotropic square lattice in a quasi-two-dimensional quantum antiferromagnetCu(en)(H2

Cited by 20 publications

References 45 publications

Experimental Study of Magneto-Structural Correlations in Low-Dimensional Quantum Magnets Cu(en)Cl2and Cu(tn)Cl2

Experimental Study of Magneto-Structural Correlations in Low-Dimensional Quantum Magnets Cu(en)Cl2and Cu(tn)Cl2

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

A 3D Cu‐Naphthalene‐Phosphonate Metal–Organic Framework with Ultra‐High Electrical Conductivity

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Product

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Experimental Study of Magneto-Structural Correlations in Low-Dimensional Quantum Magnets Cu(en)Cl₂and Cu(tn)Cl₂

Experimental Study of Magneto-Structural Correlations in Low-Dimensional Quantum Magnets Cu(en)Cl₂and Cu(tn)Cl₂