Van Hove singularities and excited-state quantum phase transitions in graphene-like microwave billiards

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081731%3A_____%2F19%3A00509421" target="_blank" >RIV/68081731:_____/19:00509421 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1063/1.5124611" target="_blank" >http://dx.doi.org/10.1063/1.5124611</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.5124611" target="_blank" >10.1063/1.5124611</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Van Hove singularities and excited-state quantum phase transitions in graphene-like microwave billiards

Popis výsledku v původním jazyce

We discuss solutions of an algebraic model of the hexagonal lattice vibrations, which point out interesting localization properties of the eigenstates at van Hove singularities (vHs), whose energies correspond to Excited-State Quantum Phase Transitions (ESQPT). We show that these states form stripes oriented parallel to the zig-zag direction of the lattice, similar to the well-known edge states found at the Dirac point, however the vHs-stripes appear in the bulk. We interpret the states as lines of cell-tilting vibrations, and inspect their stability in the large lattice-size limit. The model can be experimentally realized by superconducting 2D microwave resonators containing triangular lattices of metallic cylinders, which simulate finite-sized graphene flakes. Thus we can assume that the effects discussed here could be experimentally observed.

Název v anglickém jazyce

Van Hove singularities and excited-state quantum phase transitions in graphene-like microwave billiards

Popis výsledku anglicky

We discuss solutions of an algebraic model of the hexagonal lattice vibrations, which point out interesting localization properties of the eigenstates at van Hove singularities (vHs), whose energies correspond to Excited-State Quantum Phase Transitions (ESQPT). We show that these states form stripes oriented parallel to the zig-zag direction of the lattice, similar to the well-known edge states found at the Dirac point, however the vHs-stripes appear in the bulk. We interpret the states as lines of cell-tilting vibrations, and inspect their stability in the large lattice-size limit. The model can be experimentally realized by superconducting 2D microwave resonators containing triangular lattices of metallic cylinders, which simulate finite-sized graphene flakes. Thus we can assume that the effects discussed here could be experimentally observed.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10302 - Condensed matter physics (including formerly solid state physics, supercond.)

Projekt

<a href="/cs/project/EF18_070%2F0009944" target="_blank" >EF18_070/0009944: Kvantovo-klasické analogie v mezních režimech přenosu tepla turbulentním prouděním</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

Symmetries and Order: Algebraic Methods in Many-Body Systems

ISBN

978-073541895-0

ISSN

0094-243X

e-ISSN

—

Počet stran výsledku

4

Strana od-do

050003

Název nakladatele

AIP

Místo vydání

Melville

Místo konání akce

Connecticut

Datum konání akce

5. 10. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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