Unusual field-induced transitions in exactly solved mixed spin-(1/2, 1) Ising chain with axial and rhombic zero-field splitting parameters

Abstract

The mixed spin-(1/2, 1) Ising chain with axial and rhombic zero-field splitting parameters in a presence of the longitudinal magnetic field is exactly solved within the framework of decoration-iteration transformation and transfer-matrix method. Our particular emphasis is laid on an investigation of the influence of the rhombic term, which is responsible for an onset of quantum entanglement between two magnetic states S z k = ±1 of the spin-1 atoms. It is shown that the rhombic term gradually destroys a classical ferrimagnetic order in the ground state and simultaneously causes diversity in magnetization curves including intermediate plateau regions, regions with a continuous change in the magnetization as well as several unusual field-induced transitions accompanied with magnetization jumps. Another interesting findings concern with an appearance of the round minimum in the temperature dependence of susceptibility times temperature data, the double-peak zerofield specific heat curves and the enhanced magnetocaloric effect. The temperature dependence of the specific heat with three separate maxima may also be detected when driving the system through the axial and rhombic zero-field splitting parameters close enough to a phase boundary between the ferrimagnetic and disordered states and applying sufficiently small longitudinal magnetic field.

Local distributions of the 1D dilute Ising model

“…To date, exact solutions have been found for various complex models based on the 1D Ising model. They includes Blume-Emery-Griffiths model [1][2][3] , the model with localized Ising-like spins and exchanging electrons 4 , the models with single-ion anisotropy for the spin-1 chain [5][6][7] or the mixed spin-1/2 and spin-1 Ising chain [8][9][10] , the Ising-Heisenberg "decorated" chains, ladders, and tubes [11][12][13][14][15][16][17][18][19][20] and the Ising-Hubbard diamond chain and ladder 21,22 . These systems show many subtle and important phenomena, including quantized plateaux in the magnetization curves, quantum entanglement, quasi-phases and pseudo-transitions 23 , and describe the properties of real materials, such as the polymeric coordination compounds (see Refs.…”

“…These systems show many subtle and important phenomena, including quantized plateaux in the magnetization curves, quantum entanglement, quasi-phases and pseudo-transitions 23 , and describe the properties of real materials, such as the polymeric coordination compounds (see Refs. in 10,12,[18][19][20]22 ). At the same time, the analysis of the conventional 1D Ising model also continues taking into account higher spin S values 24 , two kinds of spins 25 , the random short-and long-range interactions 26,27 , the next-nearest-neighbour coupling 28 and the magnetic field [29][30][31] .…”

Residual entropy of the dilute Ising chain in a magnetic field

“…In this case, the maximum s 0,max = ln 2 ≈ 0.693 is attained at m = − 1 3 . The concentration dependencies (28)(29)(30) are shown in Fig. 2(c).…”

“…Along with the azurite diamondlike chain [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], double-tetrahedral chain [20][21][22][23][24], ladders [25][26][27], and tubes [28,29] are considered. These models demonstrate a lot of fascinating phenomena and reproduce features of real materials, including cuprates and vanadates [26], and the heterobimetallic and polymeric coordination compounds [30][31][32][33].…”

Frustrations on decorated planar lattices in Ising model

“…There are also a sufficient number of publications in which exact solutions were obtained and a theoretical analysis of models was carried out for studying real decorated spin systems, for example, such as one-dimensional mixed-spin chains CuNi(EDTA)•6H 2 O [28]; polymeric coordination compounds (bond-alternating chain) Cu(3-Chloropyridine) 2 (N 3 ) 2 [29,30]; diamond chain materials Cu 3 (CO 3 ) 2 (OH) 2 , and Cu 3 (TeO 3 ) 2 Br 2 [31]; quasione-dimensional Haldane compounds R 2 BaNiO 5 (R = Y 3+ , Nd 3+ , Pr 3+ ) [32]; layered mixed-spin rare-earth nickelates R 2 BaNiO 3 (R is a magnetic rare-earth ion) [33]; twodimensional magnetic materials Cu 9 X 2 (cpa) 6 • xH 2 O (cpa = 2carboxypentonic acid; X = F, Cl, Br) [34]; layered compound SrCo 6 O 11 [35]; two-dimensional decorated ferrimagnetic systems [36,37].…”