Exact results for a generalized spin‐1/2 Ising–Heisenberg diamond chain with the second‐neighbor interaction between nodal spins

Abstract

The ground state and thermodynamics of a generalized spin-1/2 Ising-Heisenberg diamond chain with the secondneighbor interaction between nodal spins are calculated exactly using the mapping method based on the decorationiteration transformation. Rigorous results for the magnetization, susceptibility, and heat capacity are investigated in dependence on temperature and magnetic field for the frustrated diamond spin chain with the antiferromagnetic Ising and Heisenberg interactions. It is demonstrated that the second-neighbor interaction between nodal spins gives rise to a greater diversity of low-temperature magnetization curves, which may include an intermediate plateau at two-third of the saturation magnetization related to the classical ferrimagnetic (up-up-up-down-up-up-...) ground state with translationally broken symmetry besides an intermediate one-third magnetization plateau reflecting the translationally invariant quantum ferrimagnetic (monomer-dimer) spin arrangement.

Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition

“…[8][9][10][11][12] and references therein). However, it has been shown later * Electronic address: galisova.lucia@gmail.com † Electronic address: jozef.strecka@upjs.sk on that this conceptually simple approach is also applicable for spinless fermion models when ignoring the hopping term on particular lattice sites [13,14], or for hybrid spin-electron systems, where finite clusters including a few mobile electrons are mutually inter-connected through the localized Ising spins in order to form either one- [15][16][17][18][19][20][21] or two-dimensional [22][23][24][25] lattice.…”

Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with localized Ising spins and mobile electrons

“…The spin-1/2 Heisenberg diamond chain [29][30][31][32][33][34][35][36][37] as well as its simplified Ising-Heisenberg version [38][39][40][41] have been largely explored in connection with a possible interplay between geometric spin frustration and quantum fluctuations. These systems display a rich variety of unusual physical properties such as magnetization plateaus [35,[38][39][40], doubled peaks in the specific heat and susceptibility [33,36] and quantum entanglement [37]. In addition, magnetic properties of A 3 Cu 3 (PO 4 ) 4 with A=Ca,Sr [42,43], Cu 3 (TeO 3 ) 2 Br 2 [44], K 3 Cu 3 AlO 2 (SO 4 ) 4 [45], Cu 3 (CO 3 ) 2 (OH) 2 (azurite) [46] and Cu 3 (OH) 5 (NO 3 ) (likasite) [47] are satisfactorily captured by various versions of the spin-1/2 Heisenberg diamond chain.…”

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

“…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]. In spite of a certain over-simplification, the asymmetric version of the spin-1/2 Ising-Heisenberg diamond chain accounting also for the second-neighbour coupling [12] quantitatively reproduces several experimentally observed magnetic features of the natural mineral azurite, which is regarded to date as the most famous representative of the spin-1/2 diamond chain [14,15,16,17].…”

“…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].…”