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Quantum Graphs with Vertices Violating the Time Reversal Symmetry

Result description

We discuss quantum graphs with the vertex coupling which violates the time-reversal invariance. For a simple type of this coupling in which the violation is in a sense maximum one we show that it leads to spectral properties determined in the high-energy regime by the graph topology. We illustrate this effect on examples which involve lattice graphs and loop arrays as well as finite graphs associated with Platonic solids. We also show that transport properties of such graphs may differ in the graph bulk and at the edges.

Keywords

quantum graphscouplinglattice graphs

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quantum Graphs with Vertices Violating the Time Reversal Symmetry

  • Original language description

    We discuss quantum graphs with the vertex coupling which violates the time-reversal invariance. For a simple type of this coupling in which the violation is in a sense maximum one we show that it leads to spectral properties determined in the high-energy regime by the graph topology. We illustrate this effect on examples which involve lattice graphs and loop arrays as well as finite graphs associated with Platonic solids. We also show that transport properties of such graphs may differ in the graph bulk and at the edges.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10303 - Particles and field physics

Result continuities

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physics of Particles and Nuclei

  • ISSN

    1063-7796

  • e-ISSN

    1531-8559

  • Volume of the periodical

    52

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    7

  • Pages from-to

    330-336

  • UT code for WoS article

    000639522400008

  • EID of the result in the Scopus database

    2-s2.0-85104251929

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Particles and field physics

Year of implementation

2021