Transport properties and topological phase transitions for a Creutz-Su-Schrieffer-Heeger ladder
Abstract
In this work, we investigate the electronic, topological, and transport properties of a Creutz-Su-Schrieffer-Heeger (CSSH) ladder. Using a tight-binding model within the Green's function formalism, we calculate the energy spectrum, local density of states (LDOS), and electronic transmission. We first determine the energy spectrum of the CSSH ladder and analyze the different topological phases present in the system, identifying one trivial phase and three distinct nontrivial regions. We then study electronic transport and show that the transmission reproduces the different topological phases through characteristic transport signatures. Finally, we derive the conditions for the emergence of non-topological flat bands and demonstrate that these bands also provide the necessary conditions for the formation of bound states in the continuum (BICs). Our results establish a direct connection between the topological properties, flat-band formation, and electronic transport in the CSSH ladder.
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BibTeX
@misc{gonzalez2026transport,
title = {{Transport properties and topological phase transitions for a Creutz-Su-Schrieffer-Heeger ladder}},
author = {K. A. González and S. Bravo and L. Rosales and P. A. Orellana},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08146},
eprint = {2609.08146},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08146},
}
RIS
TY - UNPB
TI - Transport properties and topological phase transitions for a Creutz-Su-Schrieffer-Heeger ladder
AU - K. A. González
AU - S. Bravo
AU - L. Rosales
AU - P. A. Orellana
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08146
UR - https://arxiv.org/abs/2609.08146
AB - In this work, we investigate the electronic, topological, and transport properties of a Creutz-Su-Schrieffer-Heeger (CSSH) ladder. Using a tight-binding model within the Green's function formalism, we calculate the energy spectrum, local density of states (LDOS), and electronic transmission. We first determine the energy spectrum of the CSSH ladder and analyze the different topological phases present in the system, identifying one trivial phase and three distinct nontrivial regions. We then study electronic transport and show that the transmission reproduces the different topological phases through characteristic transport signatures. Finally, we derive the conditions for the emergence of non-topological flat bands and demonstrate that these bands also provide the necessary conditions for the formation of bound states in the continuum (BICs). Our results establish a direct connection between the topological properties, flat-band formation, and electronic transport in the CSSH ladder.
ER -