Band-filling driven crossover from ferro to antiferromagnetic order in Ising lattices decorated by quantum dimers

Doria, F.F.; Pereira, Maria S. S.; Lyra, M. L.

doi:10.1016/j.jmmm.2014.05.022

Cited by 19 publications

(13 citation statements)

References 30 publications

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“…[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.…”

Section: Introductionmentioning

confidence: 99%

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

2015

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A hybrid spin-electron system defined on one-dimensional double-tetrahedral chain, in which the localized Ising spin regularly alternates with two mobile electrons delocalized over a triangular plaquette, is exactly solved with the help of generalized decoration-iteration transformation. It is shown that a macroscopic degeneracy of ferromagnetic and ferrimagnetic ground states arising from chiral degrees of freedom of the mobile electrons cannot be lifted by a magnetic field in contrast to a macroscopic degeneracy of the frustrated ground state, which appears owing to a kinetically-driven frustration of the localized Ising spins. An anomalous behavior of all basic thermodynamic quantities can be observed on account of massive thermal excitations, which mimic a temperature-driven first-order phase transition from the non-degenerate frustrated state to the highly degenerate ferrimagnetic state at non-zero magnetic fields. A substantial difference in the respective degeneracies is responsible for an immense low-temperature peak of the specific heat and very abrupt (almost discontinuous) thermal variations of the entropy and sublattice magnetizations.

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Section: Introductionmentioning

confidence: 99%

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

2015

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“…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.…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Gálisová

2021

Preprint

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A mixed spin-electron model on decorated planar lattices formed by corner-sharing trigonal bipyramids is exactly solved by imposing three mobile electrons per triangular cluster of each bipyramid by means of a generalized decorationiteration mapping transformation. It is shown that the ground state of the model involves two spontaneously longrange ordered phases, namely, the classical phase with a perfect ferromagnetic arrangement of all particles and the macroscopically degenerate quantum one. The macroscopic degeneracy of the quantum phase lies in chiral degrees of freedom of the mobile electrons. Finite-temperature phase diagrams as well as temperature variations of the spontaneous magnetization, entropy, and specific heat clearly prove that the classical spin-electron arrangement is thermally almost twice more stable than the quantum one for some combinations of the model's parameters.

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“…However, these rigorous studies cannot bring insight, because of their low-dimensionality, into the magnetoelectric response in a close vicinity of temperature-driven phase transitions. The main goal of the present work is therefore to fill in this gap when considering a coupled spin-electron model on a doubly deco-rated square lattice, which exhibits a nontrivial criticality at finite temperatures notwithstanding of it exact solvability [12][13][14][15][16][17][18]. To achieve this goal, we will extend a coupled spin-electron model on a doubly decorated square lattice introduced in Refs.…”

Section: Introductionmentioning

confidence: 99%

Enhanced magnetoelectric effect of exactly solved spin-electron model on a doubly decorated square lattice in vicinity of a continuous phase transition

Čenčariková,

Strečka

2018

Preprint

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Magnetoelectric properties of a coupled spin-electron model on a doubly decorated square lattice in an external electric field applied along the crystallographic axis [11] are rigorously examined with the help of generalized decoration-iteration transformation. The phase diagram, spontaneous magnetization and electric polarization are exactly calculated and their dependencies are comprehensively investigated under a concurrent influence of temperature and electric field. It is found that the electric field mostly stabilizes at zero temperature the spontaneous antiferromagnetic order with respect to the ferromagnetic one. At finite temperatures the external electric field gradually suppresses a spontaneous ferromagnetic (antiferromagnetic) order emergent close to a quarter (half) filling. An enhanced magnetoelectric response is detectable in vicinity of a continuous phase transition at which the spontaneous magnetization vanishes and the electric polarization displays a weak-type singularity. It is demonstrated that reentrant phase transitions of the ferromagnetic or antiferromagnetic phase may be induced at moderate values of the electric field, which simultaneously produces a sharp kink in a critical line of the ferromagnetic phase nearby a quarter filling.

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Band-filling driven crossover from ferro to antiferromagnetic order in Ising lattices decorated by quantum dimers

Cited by 19 publications

References 30 publications

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

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

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

Enhanced magnetoelectric effect of exactly solved spin-electron model on a doubly decorated square lattice in vicinity of a continuous phase transition

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