Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain

Abstract

The double-tetrahedral chain in a longitudinal magnetic field, whose nodal lattice sites occupied by the localized Ising spins regularly alternate with triangular plaquettes with the dynamics described by the Hubbard model, is rigorously investigated. It is demonstrated that the uniform change of electron concentration controlled by the chemical potential in a combination with the competition between model parameters and the external magnetic field leads to the formation of one chiral and seven non-chiral phases at the absolute zero temperature. Rational plateaux at onethird and one-half of the saturation magnetization can also be identified in the low-temperature magnetization curves. On the other hand, the gradual electron doping results in eleven different ground-state regions which distinguish from each other by the evolution of the electron distribution during this process. Several doping-dependent magnetization plateaux are observed in the magnetization process as a result of the continuous change of electron content in the model.

Insights into Magnetic Properties of a Mixed Spin-Electron Model on Decorated Planar Lattices Composed of Half-filled Trigonal Bipyramids

“…4(a) by using Eq. (17). Obviously, all plotted dependences of m faithfully follow temperature variations of the spontaneous sublattice magnetization m e including the sharp initial temperature-induced decline and rise observable for t/J t b /J and t/J t b /J, respectively.…”

“…In the specific case, where the quantum-mechanical hopping of mobile electrons is restricted to finite clusters coupled indirectly through the localized Ising spins, one may adapt the well-known concept of generalized mapping transformations [8][9][10][11] and thus obtain a relevant exact solution of the proposed model. To date, this approach has been successfully applied to various one-(1D) [12][13][14][15][16][17][18][19][20][21][22][23][24] and two-dimensional (2D) [25][26][27][28][29][30][31][32] lattice structures. Despite of their relative simplicity, the investigated mixed spin-electron models have proven to be suitable to simulate many unconventional physical properties and unusual cooperative phenomena with a good qualitative coincidence of the magnetic behavior of real materials.…”

“…Despite of their relative simplicity, the investigated mixed spin-electron models have proven to be suitable to simulate many unconventional physical properties and unusual cooperative phenomena with a good qualitative coincidence of the magnetic behavior of real materials. We can mention, for example, the kinetically-driven frustration of the Ising sub-lattice, [13][14][15][16][17][18][19][22][23][24] the local chirality in the electron sub-lattice, [15][16][17][18]22) rational 12-15, 17, 18, 23, 24, 28) and doping-dependent 17,19) magnetization plateaus in magnetization curves, double-and also triple-peak temperature dependences of the specific heat, 12-15, 22, 23) temperature-induced reentrant phase transitions, [26][27][28]31) the bipartite fermionic entanglement between mobile electrons, 20,21,24) and, last but not least, also the enhanced magnetocaloric 16,18) or magnetoelec-tric 29,30,32) effects.…”

Peculiarities in pseudo-transitions of a mixed spin-(1/2, 1) Ising–Heisenberg double-tetrahedral chain in an external magnetic field

“…For instance, the pseudo-transitions were detected in the spin-1/2 Ising-Heisenberg diamond chain [9,10], two-leg ladder [11], as well as triangular tube [12]. Similarly, the emergence of pseudo-transitions was verified in the spin-1/2 Ising diamond chain [13] and the coupled spinelectron double-tetrahedral chain [14][15][16]. In general, the first derivatives of the free energy such as entropy, inter-nal energy or magnetization show a steep change around pseudo-critical temperature.…”

A Conjecture on the Relationship Between Critical Residual Entropy and Finite Temperature Pseudo-transitions of One-dimensional Models

“…Earlier, in references [22,23], the Heisenberg version of the coupled tetrahedral chain was investigated. While Galisova and Strecka [16,24] considered delocalized electrons and Ising spin in the tetrahedral chain. Later, in references [25,26], the Ising-Heisenberg version of the model was introduced.…”