Antiferromagnetic model and magnetization plateaus on the zigzag ladder with two- and three-site exchanges

Partially disordered antiferromagnetic state in two-dimensional triangular-lattice antiferromagnet

“…Recently, Kudasov [8,9] used an analytical method to reproduce this stepwise magnetic behavior in an AFM triangular Ising model, and then Monte Carlo simulation [10][11][12] was applied to reveal that this stepwise magnetic behavior results from the competition between h and the spin frustration. The similar steplike behavior also has been observed in other systems [13][14][15]. However, the microscopic origin of these M steps * Tel.…”

Exactly solvable Ising-Heisenberg chain with triangularXXZ-Heisenberg plaquettes

“…Nevertheless, it was established in a series of recent publications that considering the Ising counterparts of some Heisenberg one-dimensional spin systems one can obtain, on one hand, the exact thermodynamic description of the problem and, on the other hand, the system which at least on the qualitative level exhibits the magnetic and thermodynamic behaviors very similar to those of the underlying quantum spin model [8]- [13]. For instance, the form of the magnetization curve does not acquire crucial changes when one replaces some or even all Heisenberg interactions in the chain with Ising ones.…”

“…[8]- [13], for the chain with frustrated triangular quantum XXZ-Heisenberg plaquettes. This chain was introduced in Ref.…”

The spectra of local minima in spin-glass models

“…In neuroinformatics the knowledge of spectra is necessary for building associative memory systems [27][28][29][30][31][32][33][60][61], developing neural nets and neural minimization algorithms [34][35][36][37][38][39][40]. This kind of knowledge is most popular in physics in research on spin-glass models [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57] and even in description of four-photon mixing in non-linear media [58][59].…”