Charged solitons in branched conducting polymers

Babajanov, D.; Matyokubov, Kh.Sh.; Matrasulov, D. U.

doi:10.1063/1.5052044

Cited by 16 publications

(7 citation statements)

References 56 publications

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“…Reflectionless transmission of charge carriers in these structures causes high conductivity and optimal functioning of different organic electronic devices. One of such structures was discussed recently in the context of nonlinear charge carriers in branched conducting polymers [55]. More attractive applications are possible also in linear fiber networks, where the wave dynamics is described in terms of the Helmholtz equation.…”

Section: Discussionmentioning

confidence: 99%

Transparent quantum graphs

et al. 2019

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We consider quantum graphs with transparent branching points. To design such networks, the concept of transparent boundary conditions is applied to the derivation of the vertex boundary conditions for the linear Schrödinger equation on metric graphs. This allows to derive simple constraints, which use equivalent usual Kirchhoff-type boundary conditions at the vertex to the transparent ones. The approach is applied to quantum star and tree graphs. However, extension to more complicated graph topologies is rather straight forward.

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Section: Discussionmentioning

confidence: 99%

Transparent quantum graphs

et al. 2019

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“…From Eqs. (21) and ( 22) one can define u j,n at the virtual (j, n) = {(1, 0), (2, −1), (3, −1)} and (j, n) = {(2, N + 1), (3, N + 1), (4, −1)} sites…”

Section: Extending To the Loop Graphmentioning

confidence: 99%

Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks

Akramov¹,

Yusupov²,

Askerzade³

et al. 2023

Preprint

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“…Recently, soliton dynamics in networks described in terms of sine-Gordon equation on metric graphs attracted some attention [18][19][20][21]. Utilization of such approach makes possible modeling the charged solitons in conducting polymers [22] and static solitons in branched Josephson junctions [23]. However, despite the great progress made on this topic, some issues are still remaining unresolved.…”

Section: Introductionmentioning

confidence: 99%