Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F13%3A00392358" target="_blank" >RIV/61389005:_____/13:00392358 - isvavai.cz</a>
Result on the web
<a href="http://prd.aps.org/pdf/PRD/v87/i8/e085019" target="_blank" >http://prd.aps.org/pdf/PRD/v87/i8/e085019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.87.085019" target="_blank" >10.1103/PhysRevD.87.085019</a>
Alternative languages
Result language
angličtina
Original language name
Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry
Original language description
We consider radially twisted nanotubes in the low-energy approximation, where the dynamics is governed by a one-dimensional Dirac equation. The mechanical deformation of the nanotubes is reflected by the presence of an effective vector potential. We discuss twisted carbon and boron-nitride nanotubes, where deformations give rise to periodic and nonperiodic finite-gap Hamiltonians. The intimate relation of these systems with the integrable Ablowitz-Kaup-Newell-Segur hierarchy is exploited in the study oftheir spectral properties as well as in the computation of the (local) density of states. We show that a nonlinear hidden supersymmetry generated by local supercharges arises naturally in the finite-gap configurations of twisted nanotubes with time-reversal symmetry. The properties of the van Hove singularities are encoded in its structure.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GPP203%2F11%2FP038" target="_blank" >GPP203/11/P038: Hidden nonlinear symmetries and supersymmetry in quantum systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
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Volume of the periodical
87
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
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UT code for WoS article
000317397500007
EID of the result in the Scopus database
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