2019
DOI: 10.1103/physrevb.99.024415
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Magnetoelectric behavior from cluster multipoles in square cupolas: Study of Sr(TiO)Cu4(PO4)4 in comparison with Ba and Pb isost

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Cited by 18 publications
(23 citation statements)
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“…In the present paper we focus our attention on the magnetization process and magnetocaloric effect of the spin-1/2 X X Z Heisenberg triangular and pentagonal cupola with an odd number of spins N = 9 and N = 15. In addition, we investigate the spin-1/2 X X Z Heisenberg square cupola with the total number of spins N = 12, for which several experimental realizations were found in the magnetic compounds Sr(TiO)Cu 4 (PO 4 ) 4 [42,43], Pb(TiO)Cu 4 (PO 4 ) 4 [44], Ba(TiO)Cu 4 (PO 4 ) 4 [45][46][47][48][49].…”
Section: Introductionmentioning
confidence: 99%
“…In the present paper we focus our attention on the magnetization process and magnetocaloric effect of the spin-1/2 X X Z Heisenberg triangular and pentagonal cupola with an odd number of spins N = 9 and N = 15. In addition, we investigate the spin-1/2 X X Z Heisenberg square cupola with the total number of spins N = 12, for which several experimental realizations were found in the magnetic compounds Sr(TiO)Cu 4 (PO 4 ) 4 [42,43], Pb(TiO)Cu 4 (PO 4 ) 4 [44], Ba(TiO)Cu 4 (PO 4 ) 4 [45][46][47][48][49].…”
Section: Introductionmentioning
confidence: 99%
“…In the present paper we will focus our attention on the magnetization process and magnetocaloric effect of the XXZ Heisenberg triangular and pentagonal cupola with an odd number of spins N = 9 and N = 15. In addition, we will investigate the XXZ Heisenberg square cupola with the total number of spins N = 12, for which several experimental realizations in compounds Sr(TiO)Cu 4 (PO 4 ) 4 [32,33], Pb(TiO)Cu 4 (PO 4 ) 4 [34], Ba(TiO)Cu 4 (PO 4 ) 4 [35,36,37,38,39] are known.…”
Section: Introductionmentioning
confidence: 99%
“…Multipoles can also be defined in an extended scale over several atomic sites and such cluster-type extensions have recently garnered great attention as a source of intriguing phenomena [3][4][5][6][7][8][9][10][11]. For instance, a magnetic toroidal dipole induces the second harmonic generation in LiCoPO 4 [12], and the magnetocurrent effect in UNi 4 B [6,13] and Ce 3 TiBi 5 [14], a magnetic octupole plays a crucial role in the anomalous Hall effect [7,15], the anomalous Nernst effect [16], and the magneto-optical Kerr effect [17] in Mn 3 Sn, and a magnetic quadrupole causes the magnetoelectric effect in A(TiO)Cu 4 (PO 4 ) 4 (A=Ba, Sr, and Pb) [18][19][20][21]. Thus, it is useful to identify relevant multipoles for predicting the electronic, magnetic, transport, and optical properties.…”
Section: Introductionmentioning
confidence: 99%