Thermal quantum correlations and quantum phase transitions in Ising-XXZ diamond chain

(高坤), Kun Gao; Xu, Yu-Liang; Kong, Xiao; Liu, Zhongqiang

doi:10.1016/j.physa.2015.02.007

Cited by 21 publications

(24 citation statements)

References 44 publications

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“…Some numerical methods, such as Monte Carlo simulation, trace minimization, and tensor renormalization group method, have been developed to examine the entanglement in 2D Ising, XY, and XXZ models [14,[24][25][26][27][28][29][30][31][32][33][34][35][36]. While the cusp maximum of entanglement around the QCP on the 2D spin systems was found, the scaling behavior of entanglement and the relationship between the critical entanglement and the correlation length need to be further studied.…”

Section: Introductionmentioning

confidence: 99%

Quantum entanglement and quantum phase transition for the Ising model on a two-dimension square lattice

Kong

Liu

et al. 2016

Physica A: Statistical Mechanics and its Applications

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Section: Introductionmentioning

confidence: 99%

Quantum entanglement and quantum phase transition for the Ising model on a two-dimension square lattice

Kong

Liu

et al. 2016

Physica A: Statistical Mechanics and its Applications

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“…The magnetization curves, thus, for the Ising-Heisenberg spin systems share almost all features with the magnetization curves of the small spin clusters, but can contain much more intermediate magnetization plateaus. Various variants of the Ising-Heisenberg chains have been examined: diamond-chain, [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] saw-tooth chain, 29,30 orthogonal-dimer chain, [31][32][33] tetrahedral chain, [34][35][36][37][38] and some special examples relevant to real magnetic materials. [39][40][41][42] In the present work, we will rigorously examine a magnetization process of a few quantum Heisenberg spin clusters and Ising-Heisenberg diamond chain, which will not display strict magnetization plateaus on assumption that some constituent spins have different Landé g-factors and may be a XY-anisotropy of the exchange interaction.…”

Section: Introductionmentioning

confidence: 99%

Absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains

et al. 2015

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We examine the general features of the non-commutativity of the magnetization operator and Hamiltonian for the small quantum spin clusters. The source of this non-commutativity can be a difference in the Landé g-factors for different spins in the cluster, XY-anisotropy in the exchange interaction and the presence of the Dzyaloshinskii-Moriya term in the direction different from the direction of the magnetic field. As a result, zero-temperature magnetization curves for small spin clusters mimic those for the macroscopic systems with the band(s) of magnetic excitations, i.e. for the given eigenstate of the spin cluster the corresponding magnetic moment can be an explicit function of the external magnetic field yielding the non-constant (non-plateau) form of the magnetization curve within the given eigenstate. In addition, the XY-anisotropy makes the saturated magnetization (the eigenstate when all spins in cluster are aligned along the magnetic field) inaccessible for finite magnetic field magnitude (asymptotical saturation). We demonstrate all these features on three examples: spin-1/2 dimer, mixed spin-(1/2,1) dimer, spin-1/2 ring trimer. We consider also the simplest Ising-Heisenberg chain, the Ising-XYZ diamond chain with four different g-factors. In the chain model the magnetization curve has a more complicated and non trivial structure which that for clusters.

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“…It is noted that the thermal entanglement for such a model on different critical phases was once discussed in the previous works 41 42 43 44 . The results showed that the entanglement may disappear as temperature exceeds a threshold T c , making the entanglement fail to characterize the critical points above the critical temperature.…”

Section: Resultsmentioning

confidence: 81%

“…3(a) is plotted the the density of as a function of T and Δ for a fixed h = 1. Clearly does not equal to zero over the whole parameter region and it is finite even at high temperature where the entanglement may disappear 41 44 . As addressed above, the reason is that can measure the total quantum correlations of a state ρ while the entanglement can only reflect part of them.…”

Section: Resultsmentioning

confidence: 99%

“…Regrading the QPT itself, the low-dimensional frustrated quantum spin models with competing interactions have attracted considerable attention due to their attractive quantum critical behaviours. For instance, the spin-1/2 quantum Heisenberg model with diamond chain structure is actively engaged in the investigations of geometric frustration 40 41 42 43 44 45 . Interestingly, this quantum spin model can be employed to explain the properties of some real materials such as azurite which has the 1/3 magnetization plateau and exhibits the double peaks in both magnetic susceptibility and specific heat 45 .…”

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confidence: 99%

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Finite-temperature scaling of trace distance discord near criticality in spin diamond structure

Wang

Sheng

Gong

et al. 2017

Sci Rep

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In this work we explore the quantum correlation quantified by trace distance discord as a measure to analyze the quantum critical behaviors in the Ising-XXZ diamond structure at finite temperatures. It is found that the first-order derivative of the trace distance discord exhibits a maximum around the critical point at finite temperatures. By analyzing the finite-temperature scaling behavior, we show that such a quantum correlation can detect exactly the quantum phase transitions from the entan-gled state in ferrimagnetic phase to an unentangled state in ferrimagnetic phase or to an unentangled state in ferromagnetic phase. The results also indicate that the above two kinds of transitions can be distinguished by the different finite-temperature scaling behaviors. Moreover, we find that the trace distance discord, in contrast to other typical quantum correlations (e.g., concurrence, quantum discord and Hellinger distance), may be more reliable to exactly spotlight the critical points of this model at finite temperatures under certain situations.

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Thermal quantum correlations and quantum phase transitions in Ising-XXZ diamond chain

Cited by 21 publications

References 44 publications

Quantum entanglement and quantum phase transition for the Ising model on a two-dimension square lattice

Quantum entanglement and quantum phase transition for the Ising model on a two-dimension square lattice

Absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains

Finite-temperature scaling of trace distance discord near criticality in spin diamond structure

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