Flat-band localization in the Anderson-Falicov-Kimball model

Souza, André M. C.; Herrmann, Hans J.

doi:10.1103/physrevb.79.153104

Cited by 11 publications

(11 citation statements)

References 22 publications

(26 reference statements)

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“…Moreover, spin cluster with higher values of exchange strength can enhance the stability of entangled state at room temperature which is facing a real challenge nowadays. A spin-cluster material, copper car- 2 } is found recently which supports entanglement above room temperature [29].…”

Section: Introductionmentioning

confidence: 79%

Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon

Deb

Ghosh

2017

Eur. Phys. J. D

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Thermally stable quantum states with multipartite entanglements led by frustration are found in the antiferromagnetic spin-1/2 Heisenberg hexagon. The model has been solved exactly to obtain all analytic expressions of eigenvalues and eigenfunctions. Detection and characterizations for various types of entanglements have been carried out in terms of concurrence and entanglement witnesses based on several thermodynamic observables. Variations of entanglement properties with respect to temperature and frustration are discussed. Even though the frustration opposes the bipartite entanglement, it favors the multipartite entanglement. Entangled states exhibit robustness against the thermal effects in the presence of frustration and they are found to survive at any temperature.

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Section: Introductionmentioning

confidence: 79%

Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon

Deb

Ghosh

2017

Eur. Phys. J. D

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“…Even though persistence of thermal entanglement at high temperature has been predicted under special conditions [26,41], thermal entanglement typically diminishes when temperature increases, at least in the limit of very high temperature. This is due to the fact that at high temperature all the states are almost equally populated, which makes the density operator of the system more and more separable.…”

Section: Analysis Of Thermal Entanglementmentioning

confidence: 99%

“…Applications to quantum teleportation have been proposed [22][23][24]. Moreover, nonclassical and nonlocal correlations in quantum systems relaxed toward their thermal states have been investigated [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Competition of direct and indirect sources of thermal entanglement in a spin-star network

Napoli

2018

Int. J. Quantum Inform.

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A spin star system consisting of three peripheral two-state systems and a central one is considered, with the peripheral spins assumed to interact with each other, as well as with the central one. It is shown that such two couplings, each one being a thermal entanglement source, can significantly compete in the formation of quantum correlations in the thermal state, to the point that they can destroy any thermal entanglement of the peripheral spins.

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“…In periodic lattice systems, macroscopically degenerate CLSs lead to the occurrence of flat, i. e. dispersionless, energy bands [17]. Flat bands are studied in different contexts, including the quantum Hall effect in topologically non-trivial lattices [18][19][20][21], induced metal-insulator transitions [22,23] and non-Hermitian quantum mechanics [24,25].…”

Section: Introductionmentioning

confidence: 99%

Compact localized states and flat bands from local symmetry partitioning

2018

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Journal reference: Phys. Rev. B 97, 035161 (2018) We propose a framework for the connection between local symmetries of discrete Hamiltonians and the design of compact localized states. Such compact localized states are used for the creation of tunable, local symmetry-induced bound states in an energy continuum and flat energy bands for periodically repeated local symmetries in one-and two-dimensional lattices. The framework is based on very recent theorems in graph theory which are here employed to obtain a block partitioning of the Hamiltonian induced by the symmetry of a given system under local site permutations. The diagonalization of the Hamiltonian is thereby reduced to finding the eigenspectra of smaller matrices, with eigenvectors automatically divided into compact localized and extended states. We distinguish between local symmetry operations which commute with the Hamiltonian, and those which do not commute due to an asymmetric coupling to the surrounding sites. While valuable as a computational tool for versatile discrete systems with locally symmetric structures, the approach provides in particular a unified, intuitive, and efficient route to the flexible design of compact localized states at desired energies.

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Flat-band localization in the Anderson-Falicov-Kimball model

Cited by 11 publications

References 22 publications

Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon

Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon

Competition of direct and indirect sources of thermal entanglement in a spin-star network

Compact localized states and flat bands from local symmetry partitioning

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