Németh, Róbert and Cserti, József and Széchenyi, Gábor (2025) Study of line defects in infinite networks of resistors. NEW JOURNAL OF PHYSICS, 27 (11). ISSN 1367-2630
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Abstract
We study infinite resistor networks perturbed by line defects, in which the resistances are periodically modified along a single line. Using the Sherman–Morrison identity applied to the lattice Laplace operator, we develop a general analytical framework for computing the Green's function and the equivalent resistance between arbitrary nodes. The resulting expression is a one-dimensional integral that is evaluated exactly in special cases. While our analysis is carried out for the square lattice, the method readily extends to other lattice geometries and networks with general impedances. Therefore, this framework is useful for studying the boundary behavior of topolectrical circuits, which serve as classical analogs of topological insulators.
| Item Type: | Article |
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| Additional Information: | Funding Agency and Grant Number: Hungarian Academy of Science; National Research, Development and Innovation Office within the Quantum Information National Laboratory of Hungary [2022-2.1.1-NL-2022-00004]; Nemzeti Kutatsi Fejlesztsi s Innovcis Hivatal [K 134437] Funding text: We acknowledge fruitful discussions with Gyula David. This research was supported by the Ministry of Culture and Innovation, and the National Research, Development and Innovation Office within the Quantum Information National Laboratory of Hungary (Grant No. 2022-2.1.1-NL-2022-00004) and within the DKOP-23 Doctoral Excellence Program, by the Janos Bolyai Research Scholarship of the Hungarian Academy of Science, by the TRILMAX Horizon Europe consortium (Grant No. 101159646), and by the NKFIH through the OTKA Grants K 134437. |
| Subjects: | Q Science / természettudomány > QC Physics / fizika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 19 Sep 2026 19:17 |
| Last Modified: | 19 Sep 2026 19:17 |
| URI: | https://real.mtak.hu/id/eprint/246871 |
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