Magnetization plateau in diamond chains with delocalized interstitial spins

Pereira, Maria S. S.; Moura, F. A. B. F. de; Lyra, M. L.

doi:10.1103/physrevb.77.024402

Cited by 51 publications

(50 citation statements)

References 42 publications

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“…Namely, we considered the pairs of S = 1/2 quantum spins interacting with XXZ interaction arranged in the sawtooth chain in such a way which allows one to use transfer-matrix technique for exact calculations. This result continues the series of investigations of the subject performed earlier for other onedimensional spin systems with Ising and Heisenberg bonds [13][14][15][16][17][18][19][20][21][22][23][24]. These results are not only of academic interest.…”

Section: Resultssupporting

confidence: 61%

“…One can mention a formal approach to these problem which is not justified properly yet but in some particular cases demonstrates rather good agreement with experimental data and numerical calculations. The approximation consists in replacement of some or all interaction bonds with Ising ones [13][14][15][16][17][18][19][20][21][22][23][24]. As a result one can obtain an interacting spin system which allows one to calculate all thermodynamic functions analytically.…”

Section: Introductionmentioning

confidence: 99%

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Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds

Ohanyan¹

2009

Condens. Matter Phys.

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The sawtooth chain with pairs of S = 1/2 spins interacting with XXZ-interactions placed on each second tooth is considered. All other interaction bonds are taken to be of Ising type. Exact statistical mechanical solution of the model within the direct transfer-matrix technique is obtained. The solution allows one to obtain exact analytic expressions for all thermodynamic functions of the model. Ground state properties are also investigated, the corresponding ground state phase diagram is presented.

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Section: Resultssupporting

confidence: 61%

Section: Introductionmentioning

confidence: 99%

Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds

Ohanyan¹

2009

Condens. Matter Phys.

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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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“…Since dimer interaction is much higher than the rest, it can be represented as an exactly solvable Ising-Heisenberg model. In addition, experimental data on the magnetization plateau coincide with the approximation IsingHeisenberg model [4,7,15,16].…”

Section: Introductionmentioning

confidence: 99%

“…Honecker et al [3] studied the dynamic and thermodynamic properties for this model. In addition, Pereira et al [4,5] investigated the magnetization plateau of delocalized interstitial spins, as well as magnetocaloric effect in kinetically frustrated diamond chains. More recently, Lisnii [6] studied a distorted diamond Ising-Hubbard chain, and that the model also reveals the geometrical frustration.…”

Section: Introductionmentioning

confidence: 99%

Thermal entanglement in an exactly solvable Ising-XXZdiamond chain structure

et al. 2012

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Most quantum entanglement investigations are focused on two qubits or some finite (small) chain structure, since the infinite chain structure is a considerably cumbersome task. Therefore, the quantum entanglement properties involving an infinite chain structure is quite important, not only because the mathematical calculation is cumbersome but also because real materials are well represented by an infinite chain. Thus, in this paper we consider an entangled diamond chain with Ising and anisotropic Heisenberg (Ising-XXZ) coupling. Two interstitial particles are coupled through Heisenberg coupling or simply two-qubit Heisenberg, which could be responsible for the emergence of entanglement. These two-qubit Heisenberg operators are interacted with two nodal Ising spins. An infinite diamond chain is organized by interstitial-interstitial and nodal-interstitial (dimer-monomer) site couplings. We are able to get the thermal average of the two-qubit operator, called the reduced two-qubit density operator. Since these density operators are spatially separated, we could obtain the concurrence (entanglement) directly in the thermodynamic limit. The thermal entanglement (concurrence) is constructed for different values of the anisotropic Heisenberg parameter, magnetic field and temperature. We also observed the threshold temperature via the parameter of anisotropy, Heisenberg and Ising interaction, external magnetic field, and temperature.

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Magnetization plateau in diamond chains with delocalized interstitial spins

Cited by 51 publications

References 42 publications

Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds

Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds

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

Thermal entanglement in an exactly solvable Ising-XXZdiamond chain structure

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