Persymmetric Jacobi matrices with square-integer eigenvalues and dispersionless mass-spring chains

Autor: Lidia Spadini, R. Vaia

Publikováno v: Linear algebra and its applications 585 (2020): 164–177. doi:10.1016/j.laa.2019.10.002
info:cnr-pdr/source/autori:Ruggero Vaia, Lidia Spadini/titolo:Persymmetric Jacobi matrices with square-integer eigenvalues and dispersionless mass-spring chains/doi:10.1016%2Fj.laa.2019.10.002/rivista:Linear algebra and its applications/anno:2020/pagina_da:164/pagina_a:177/intervallo_pagine:164–177/volume:585

A real persymmetric Jacobi matrix of order $n$ whose eigenvalues are $2k^2$ $(k=0, ..., n-1)$ is presented, with entries given as explicit functions of $n$. Besides the possible use for testing forward and inverse numerical algorithms, such a matrix

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c83907042b7e8eb8fe386e4e66d57ae9
https://doi.org/10.1016/j.laa.2019.10.002

Comment on 'Magnetic structure and magnetization of z -axis helical Heisenberg antiferromagnets with XY anisotropy in high magnetic fields transverse to the helix axis at zero temperature'

Autor: R. Vaia

Publikováno v: Physical Review B. 101

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cdb22909fdf72bd341bd404e95253604
https://doi.org/10.1103/physrevb.101.026401

Quantum correlations between distant qubits conveyed by large- S spin chains

Autor: Paola Verrucchi, R. Vaia, Alessandro Cuccoli, Davide Nuzzi

Publikováno v: Physical Review B 96 (2017): 054449-1–054449-10. doi:10.1103/PhysRevB.96.054449
info:cnr-pdr/source/autori:Nuzzi D.; Cuccoli A.; Vaia R.; Verrucchi P./titolo:Quantum correlations between distant qubits conveyed by large-S spin chains/doi:10.1103%2FPhysRevB.96.054449/rivista:Physical Review B/anno:2017/pagina_da:054449-1/pagina_a:054449-10/intervallo_pagine:054449-1–054449-10/volume:96

We consider two distant spin-$\frac{1}{2}$ particles (or qubits) and a number of interacting objects, all with the same value $S\gg1$ of their respective spin, distributed on a one-dimensional lattice (or large-$S$ spin chain). The quantum states of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ba936b40be0afa2f49523fdbe4ed659

Reentrant spin-flop transition in nanomagnets

Autor: Mattia Crescioli, R. Vaia, Paolo Politi

Publikováno v: Physical review. B, Condensed matter and materials physics 90 (2014): 100401(R). doi:10.1103/PhysRevB.90.100401
info:cnr-pdr/source/autori:Mattia Crescioli (1,2); Paolo Politi (2,3); Ruggero Vaia (2,3)/titolo:Reentrant spin-flop transition in nanomagnets/doi:10.1103%2FPhysRevB.90.100401/rivista:Physical review. B, Condensed matter and materials physics/anno:2014/pagina_da:100401(R)/pagina_a:/intervallo_pagine:100401(R)/volume:90
4th Italian Conference on Magnetism, pp. [41] AO1-04, Bologna, 17-19/02/2015
info:cnr-pdr/source/autori:Ruggero Vaia (1,2); Mattia Crescioli (2,3); Paolo Politi (1,2)/congresso_nome:4th Italian Conference on Magnetism/congresso_luogo:Bologna/congresso_data:17-19%2F02%2F2015/anno:2015/pagina_da:[41] AO1-04/pagina_a:/intervallo_pagine:[41] AO1-04

Antiferromagnetic chains with an odd number of spins are known to undergo a transition from an antiparallel to a spin-flop configuration when subjected to an increasing magnetic field. We show that in the presence of an anisotropy favoring alignment

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https://publications.cnr.it/doc/286066

Classical Ising chain in transverse field

Autor: Alessandro Cuccoli, Paola Verrucchi, R. Vaia, A. Taiti

Publikováno v: Journal of magnetism and magnetic materials 310 (2007): e477–e479. doi:10.1016/j.jmmm.2006.10.422
info:cnr-pdr/source/autori:Cuccoli A.; Taiti A.; Vaia R.; Verrucchi P./titolo:Classical Ising chain in transverse field/doi:10.1016%2Fj.jmmm.2006.10.422/rivista:Journal of magnetism and magnetic materials/anno:2007/pagina_da:e477/pagina_a:e479/intervallo_pagine:e477–e479/volume:310

The spin 1 2 Ising chain in transverse field is considered the prototypical system for quantum phase transitions. However, very little is apparently known in literature about its classical counterpart, not to be confused with the standard classical I

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd86adec0c8c8e19593490920440b575
https://doi.org/10.1016/j.jmmm.2006.10.422