Magnetic, Thermal, and Entanglement Properties of a Distorted Ising-Hubbard Diamond Chain

Nalbandyan, Mikayel; Lazaryan, H. A.; Rojas, Onofre; Souza, S. M. de; Ananikian, N. S.

doi:10.7566/jpsj.83.074001

Cited by 22 publications

(19 citation statements)

References 73 publications

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“…A position of the low-temperature peak moves towards zero temperature as the kinetic term approaches the boundary value t b /J given by Eq. (20) at which it completely disappears (see dotted curve in Fig. 4).…”

Section: Low-temperature Thermodynamicsmentioning

confidence: 99%

“…[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%

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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: Low-temperature Thermodynamicsmentioning

confidence: 99%

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 presence of the intermediate magnetization plateau has also been reported for the hybrid diamond-chain model, in which the spins of mobile electrons delocalized over decorating quantum dimers (interstitial sites) interact with each other as well as with the localized Ising spins situated at nodal lattice sites [48][49][50][51][52]. The hybrid spin-electron diamond chain with localized Ising spins and delocalized electrons has been exactly solved using an exact diagonalization procedure in combination with the decoration-iteration mapping technique.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2016

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The strongly correlated spin-electron system on a diamond chain containing localized Ising spins on its nodal lattice sites and mobile electrons on its interstitial sites is exactly solved in a magnetic field using the transfer-matrix method. We have investigated in detail all available ground states, the magnetization processes, the spin-spin correlation functions around an elementary plaquette, fermionic quantum concurrence and spin frustration. It is shown that the fermionic entanglement between mobile electrons hopping on interstitial sites and the kinetically-induced spin frustration are closely related yet independent phenomena. In the ground state, quantum entanglement only appears within a frustrated unsaturated paramagnetic phase, while thermal fluctuations can promote some degree of quantum entanglement above the non-frustrated ground states with saturated paramagnetic or classical ferrimagnetic spin arrangements.

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“…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]. 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].…”

Section: Introductionmentioning

confidence: 91%

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

Ananikian

Strečka

Hovhannisyan

2014

Solid State Communications

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Abstract. The spin-1 Ising-Heisenberg diamond chain in a magnetic field is exactly solved by a rigorous treatment based on the transfer-matrix method. An exact groundstate phase diagram includes in total three unconventional quantum ground states with a quantum entanglement of the decorating spin-1 Heisenberg dimers apart from two ground states with a classical spin arrangement. It is evidenced that all three values of the magnetization allowed for the spin-1 diamond chain without translationally broken symmetry by the Oshikawa-Yamanaka-Affleck criterion can become evident in an outstanding stepwise magnetization curve with three intermediate plateaus at zero, one-third, and two-thirds of the saturation magnetization.

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Magnetic, Thermal, and Entanglement Properties of a Distorted Ising-Hubbard Diamond Chain

Cited by 22 publications

References 73 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

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

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

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