arXiv subjects

Guillermo Monsivais

Publications and source records attributed to Guillermo Monsivais.

3 recordsLinked to original sources

arXiv2026

Antiresonances of Wannier-Stark ladders in Su-Schrieffer-Heeger lattices

We demonstrate that Wannier-Stark ladders (WSLs) in one-dimensional Su-Schrieffer-Heeger (SSH) chains manifest as antiresonance signatures in the electron transmission. We study the quantum transport in the SSH chain in the presence of a periodic potential profile plus a uniform electric field. By employing the global matrix method with non-trivial matching conditions, we find that these WSL antiresonances correspond to states that are exponentially localized at the potential's incident boundary. These findings provide a robust, unified framework for identifying WSLs across diverse scales, ranging from electronic transport in trans-polyacetylene to classical-wave analogs in phononic crystals and surface water waves.

cond-mat.mes-hall↗

arXiv2026

Topical Review: The rise of Klein tunneling in low-dimensional materials and superlattices

We review recent advances in Klein and anti-Klein tunneling in one- and two-dimensional materials. Using a general tight-binding framework applied to multiple periodic systems, we establish the criteria for the emergence of Klein tunneling based on the conservation of an effective reduced pseudospin. The inclusion of higher-order terms in the wave vector leads to nontrivial matching conditions for wave scattering at interfaces. We further examine the emergence of multiple types of Klein tunneling in two-dimensional materials beyond graphene, including phosphorene and borophene, as well as in one-dimensional systems such as Su-Schrieffer-Heeger lattices. Finally, we discuss how these tunneling phenomena can be tested in both synthesized and artificial lattices, including elastic metamaterials, optical, photonic, phononic, and superconducting platforms, demonstrating the universality of Klein tunneling across different wave natures and length scales.

cond-mat.mtrl-sci↗

arXiv2023

Identifying Klein tunneling signatures in bearded SSH lattices from bent flat bands

Su-Schrieffer-Heeger (SSH) lattices have helped to understand key concepts of topological insulators. In this paper, we study the transmission properties of $pn$ junctions of bearded SSH lattices forming a bipartite structure. From a tight-binding approach, a Bloch Hamiltonian depicts the electron behavior as a massive pseudo-spin one particle in quasi-one-dimensional systems. It is possible to design the band structure of these lattices by tuning the on-site energy and hopping parameters. The characteristic flat band of pseudo-spin one systems can be bent by the staggered potential of the bottom atom in the bearded edge. We explore interband transmissions from the bent flat band to the valence one of a bipartite structure, where Klein tunneling can be obtained depending on the hopping parameter associated with the bearded edge. The identification of Klein tunneling signatures is feasible in artificial lattices such as photonic lattices, elastic resonators, topolectric circuits, or quantum dot arrangements. On the other hand, the study of Klein tunneling in polyatomic molecules may contribute to advance in one-dimensional transistors.

cond-mat.mes-hall↗