Dynamic and thermodynamic properties of the generalized diamond chain model for azurite

Honecker, A.; Hu, Sheng; Peters, Robert; Richter, Johannes

doi:10.1088/0953-8984/23/16/164211

Cited by 70 publications

(121 citation statements)

References 116 publications

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“…[12,6,7]. For 0 ≤ ∆ < 1 there are only quantitative changes in the parameters of the effective Hamiltonian.…”

Section: The Case H = (0 0 H)mentioning

confidence: 99%

“…A fascinating example is the natural mineral azurite Cu 3 (CO 3 ) 2 (OH) 2 , [4,5] which is known as a realization of the frustrated diamond spin chain close to the flat-band point. [5,6] In our recent study [7] we have considered three localized-magnon systems (the diamond and dimer-plaquette chains and the two-dimensional square-kagome lattice) which belong to the monomer universality class [3] with small deviations from the ideal flat-band geometry and have elaborated effective low-energy theories which provide good description of the initial frustrated quantum isotropic (i.e., XXX) Heisenberg antiferromagnets in the low-temperature strong-field regime.…”

Section: Introductionmentioning

confidence: 99%

“…To obtain effective Hamiltonians we use the strong-coupling approach. [12,6] After deriving the effective Hamiltonians we test their quality by comparisons to exact-diagonalization data. Using exact results for the effective models we can provide theoretical predictions for the low-temperature magnetization curves in z-or x-aligned (strong) magnetic field as well as for other thermodynamic quantities in this regime in the thermodynamic limit.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Frustrated diamond-chain quantum XXZ Heisenberg antiferromagnet in a magnetic field

Richter

Krupnitska

Krokhmalskii

et al. 2015

Journal of Magnetism and Magnetic Materials

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We consider the antiferromagnetic spin-1/2 XXZ Heisenberg model on a frustrated diamond-chain lattice in a z-or x-aligned external magnetic field. We use the strong-coupling approach to elaborate an effective description in the low-temperature strong-field regime. The obtained effective models are spin-1/2 XY chains which are exactly solvable through the Jordan-Wigner fermionization. We perform exact-diagonalization studies of the magnetization curves to test the quality of the effective description. The results may have relevance for the description of the azurite spin-chain compound.

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“…[12,6,7]. For 0 ≤ ∆ < 1 there are only quantitative changes in the parameters of the effective Hamiltonian.…”

Section: The Case H = (0 0 H)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Frustrated diamond-chain quantum XXZ Heisenberg antiferromagnet in a magnetic field

Richter

Krupnitska

Krokhmalskii

et al. 2015

Journal of Magnetism and Magnetic Materials

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“…There are several approximate methods applied in Heisenberg model to explain the experimental measurements in the natural mineral azurite [9]. Recently, Honecker et al [10] studied the dynamic and thermodynamic properties for this model. Furthermore, thermodynamics of the Ising-Heisenberg model on a diamond-like chain was also widely discussed in the references [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

2017

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The quantum teleportation plays an important role in quantum information process, in this sense, the quantum entanglement properties involving an infinite chain structure is quite remarkable because real materials could be well represented by an infinite chain. We study the teleportation of an entangled state through a couple of quantum channels, composed by Heisenberg dimers in an infinite Ising-Heisenberg diamond chain, the couple of chains are considered sufciently far away from each other to be ignored the any interaction between them . To teleporting a couple of qubits through the quantum channel, we need to find the average density operator for Heisenberg spin dimers, which will be used as quantum channels. Assuming the input state as a pure state, we can apply the concept of fidelity as a useful measurement of teleportation performance of a quantum channel. Using the standard teleportation protocol, we have derived an analytical expression for the output concurrence, fidelity, and average fidelity. We study in detail the effects of coupling parameters, external magnetic field and temperature dependence of quantum teleportation. Finally, we explore the relations between entanglement of the quantum channel, the output entanglement and the average fidelity of the system. Through a kind of phase diagram as a function of Ising-Heisenberg diamond chain model parameters, we illustrate where the quantum teleportation will succeed and a region where the quantum teleportation could fail.

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“…For example, a natural mineral, azurite Cu 3 (CO 3 ) 2 (OH) 2 can be considered as one of the first experimental realizations of the distorted diamond chain model [14][15][16]. Recently, a considerable attention has been attracted to the IsingHeisenberg diamond chains.…”

Section: Introductionmentioning

confidence: 99%

Phase transitions and thermal entanglement of the distorted Ising–Heisenberg spin chain: topology of multiple-spin exchange interactions in spin ladders

Zad

Ananikian²

2017

J. Phys.: Condens. Matter

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Abstract. We consider a symmetric spin-1/2 Ising-XXZ double sawtooth spin ladder obtained from distorting a spin chain, with the XXZ interaction between the interstitial Heisenberg dimers (which are connected to the spins based on the legs via an Ising-type interaction), the Ising coupling between nearest-neighbor spins of the legs and rungs spins, respectively, and additional cyclic four-spin exchange (ring exchange) in square plaquette of each block. The presented analysis supplemented by results of the exact solution of the model with infinite periodic boundary implies a rich ground state phase diagram. As well as the quantum phase transitions, the characteristics of some of the thermodynamic parameters such as heat capacity, magnetization and magnetic susceptibility are investigated. We here prove that among the considered thermodynamic and thermal parameters, solely the heat capacity is sensitive versus the changes of the cyclic four-spin exchange interaction. By using the heat capacity function, we obtain a singularity relation between the cyclic four-spin exchange interaction and the exchange coupling between pair spins on each rung of the spin ladder. All thermal and thermodynamic quantities under consideration should investigate by regarding those points which satisfy the singularity relation. The thermal entanglement within the Heisenberg spin dimers is investigated by using the concurrence, which is calculated from a relevant reduced density operator in the thermodynamic limit.

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Dynamic and thermodynamic properties of the generalized diamond chain model for azurite

Cited by 70 publications

References 116 publications

Frustrated diamond-chain quantum XXZ Heisenberg antiferromagnet in a magnetic field

Frustrated diamond-chain quantum XXZ Heisenberg antiferromagnet in a magnetic field

Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

Phase transitions and thermal entanglement of the distorted Ising–Heisenberg spin chain: topology of multiple-spin exchange interactions in spin ladders

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