Magnetocaloric effect in the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction

Abstract

The magnetocaloric effect in the symmetric spin-1/2 Ising-Heisenberg diamond chain with the Ising four-spin interaction is investigated using the generalized decoration-iteration mapping transformation and the transfermatrix technique. The entropy and the Grüneisen parameter, which closely relate to the magnetocaloric effect, are exactly calculated to compare the capability of the system to cool in the vicinity of different field-induced ground-state phase transitions during the adiabatic demagnetization.

Exactly solved mixed spin-(1,1/2) Ising–Heisenberg diamond chain with a single-ion anisotropy

“…Owing to this fact, a lot of attention has been also paid to a rigorous treatment of various versions of the spin-1/2 Ising-Heisenberg diamond chain [15][16][17][18][19][20][21][22][23][24][25] and the Ising-Hubbard diamond chain [26][27][28][29].…”

Magnetic Grüneisen parameter and magnetocaloric properties of a coupled spin–electron double-tetrahedral chain

“…Of particular interest is the investigation of the MCE in various one-dimensional (1D) quantum spin systems [4][5][6][7][8][9][10][11][12][13] or hybrid spin-electron models [14][15][16]. The reason is a possibility of obtaining the exact analytical or numerical results as well as a potential use of these models for the explanation of MCE data measured for real magnetic compounds.…”

Magnetization plateaus of an exactly solvable spin-1 Ising–Heisenberg diamond chain

“…Over the last few years, the spin-1/2 Ising-Heisenberg diamond chain has become a subject of intensive theoretical studies by virtue of its remarkable magnetic properties, which arise out from a mutual interplay between a geometric spin frustration and quantum fluctuations [1,2,3,4,5,6,7,8,9,10,11,12]. Among the most notable features of this exactly solvable spin chain one could mention an existence of onethird magnetization plateau in a low-temperature magnetization curve, spectacular temperature dependences of susceptibility and specific heat [1], outstanding temperature and magnetic-field dependences of entanglement measures [2,3], highly non-monotonous thermal variations of correlation functions [4], a striking plateau of Lyapunov exponent [5], a remarkable distribution of partition function zeros [6] and an enhanced cooling rate during the adiabatic demagnetization [7].…”

“…Among the most notable features of this exactly solvable spin chain one could mention an existence of onethird magnetization plateau in a low-temperature magnetization curve, spectacular temperature dependences of susceptibility and specific heat [1], outstanding temperature and magnetic-field dependences of entanglement measures [2,3], highly non-monotonous thermal variations of correlation functions [4], a striking plateau of Lyapunov exponent [5], a remarkable distribution of partition function zeros [6] and an enhanced cooling rate during the adiabatic demagnetization [7]. It turns out, moreover, that generalized versions of the spin-1/2 Ising-Heisenberg diamond chain accounting for the asymmetry [8,9], four-spin coupling [10,11] and/or second-neighbour interaction [12] might exhibit even a more diverse magnetic behaviour. The existance of the magnetization plateaus and multiple peak structure of the specific heat have been also detected on a distorted Ising-Hubbard diamond chain [13].…”

“…The similar situation takes place for the spin-1/2 Heisenberg chain with hexamer modulation of exchange where the existence of two new magnetization plateaus at 1/3 and 2/3 have been observed [20]. It has been actually evidenced that the spatial asymmetry along diamond sides can be responsible for a presence of the intermediate plateau at zero magnetization [9], while the four-spin coupling and second-neighbour interaction can cause emergence of both intermediate plateaus at zero and two-thirds of the full magnetization [10,11,12].…”