Quantum Phase Transition and Quantum Correlation in the Two-dimensional Honeycomb-bilayer Lattice Antiferromagnet

Lima, L.S.

doi:10.1007/s10909-021-02610-x

Cited by 13 publications

(3 citation statements)

References 29 publications

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“…The effect of splitting magnon bands, induced by the non-Hermitian parameters in properties as quantum correlation has been analyzed by us in the Refs. [28][29][30]. The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Non-Hermitian linear-response theory for spin diffusion in quantum systems

Lima

2023

Preprint

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Spin transport theory of non-Hermitian quantum systems, where the non-Hermiticity led to a series of exotic phenomena when the system experiences dissipation to an environment is proposed. Thegoal is a better understanding of the spin diffusion in the one-dimensional non-Hermitian XXZ model which allows the transport coefficients be computed analytically. Moreover, we analyze the electric transport of the one-dimensional non-Hermitian Hubbard model which is a very important model of electrons strongly correlated, where we have investigated the effect of non-Hermitian parameters like the imaginary hopping on AC and DC conductivities of the system. We analyze the large U limit of this model, where such non-Hermiticity contributes with a minus sign in the virtual exchange of quasiparticles and the behavior of the ground state energy and low-lying excitations is reversed. PACS numbers: 75.10.Pq, 75.40.Mg

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Section: Introductionmentioning

confidence: 99%

Non-Hermitian linear-response theory for spin diffusion in quantum systems

Lima

2023

Preprint

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“…Thus, we investigated the effects of different quantum and topological phase transitions induced by the spin-couplings, as well as the dimensionality and geometry of the lattice on quantum correlation and entanglement in Refs. [ 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 ]. The presence of different types of coupling leads to the different quantum and topological phases that are studied using analytical techniques, such as the nonlinear sigma model, spin-wave theory, and SU(N) Schwinger bosons, which are adequate in treating each case at low energy limits, as well as numerical techniques, such as the quantum Monte Carlo method and the density matrix renormalization group (DMRG), and so on.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, the effect of quantum phase transition on quantum correlation in different spin-frustrated models, such as in the honeycomb and triangular lattices, has been analyzed in Refs. [ 36 , 40 , 43 ]. The effect of spin–phonon coupling on quantum correlation in the XY model is analyzed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Entanglement Negativity and Concurrence in Some Low-Dimensional Spin Systems

Lima¹

2022

Entropy

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The influence of magnon bands on entanglement in the antiferromagnetic XXZ model on a triangular lattice, which models the bilayer structure consisting of an antiferromagnetic insulator and normal metal, is investigated. This effect was studied in ferromagnetic as well as antiferromagnetic triangular lattices. Quantum entanglement measures given by the entanglement negativity have been studied, where a magnon current is induced in the antiferromagnet due to interfacial exchange coupling between localized spins in the antiferromagnet and itinerant electrons in a normal metal. Moreover, quantum correlations in other frustrated models, namely the metal-insulation antiferromagnetic bilayer model and the Heisenberg model with biquadratic and bicubic interactions, are analyzed.

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Negativity, Quantum Entanglement in the Two-dimensional Generalized Hubbard Model

Lima

2023

Int J Theor Phys

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Quantum Phase Transition and Quantum Correlation in the Two-dimensional Honeycomb-bilayer Lattice Antiferromagnet

Cited by 13 publications

References 29 publications

Non-Hermitian linear-response theory for spin diffusion in quantum systems

Non-Hermitian linear-response theory for spin diffusion in quantum systems

Entanglement Negativity and Concurrence in Some Low-Dimensional Spin Systems

Negativity, Quantum Entanglement in the Two-dimensional Generalized Hubbard Model

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