This volume is devoted to the latest developments in the physics of electrons in one-dimensional condensed matter systems. Particular attention is devoted to spin-orbit coupling and its consequences, that range from topological edge and bound states to the identification of possible host systems for odd frequency superconductivity. The...
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2020 (v1)PublicationUploaded on: April 14, 2023
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2020 (v1)Publication
The spin degree of freedom is crucial for both understanding and exploiting the particular properties of the edges of two-dimensional topological insulators. In the absence of superconductivity and magnetism, Rashba coupling is the most relevant single-particle perturbation in this system. Since Rashba coupling does not break time reversal...
Uploaded on: March 27, 2023 -
2021 (v1)Publication
The simplest possible structural transition that an electronic system can undergo is Wigner crystallization. The aim of this short review is to discuss the main aspects of three recent experimets on the one-dimensional Wigner molecule, starting from scratch. To achieve this task, the Luttinger liquid theory of weakly and strongly interacting...
Uploaded on: April 14, 2023 -
2021 (v1)Publication
We propose a novel realization for a topologically superconducting phase hosting Majorana zero modes on the basis of quantum spin Hall systems. Remarkably, our proposal is completely free of ferromagnets. Instead, we confine helical edge states around a narrow defect line of finite length in a two-dimensional topological insulator. We...
Uploaded on: April 14, 2023 -
2019 (v1)Publication
When a local and attractive potential is quenched in a nanowire, the spectrum changes its topology from a purely continuum to a continuum and discrete portion. We show that, under appropriate conditions, this quench leads to stable coherent oscillations in the observables' time evolution. In particular, we demonstrate that ballistic nanowires...
Uploaded on: April 14, 2023 -
2020 (v1)Publication
Majorana bound states are interesting candidates for applications in topological quantum computation. Low-energy models allowing one to grasp their properties are hence conceptually important. The usual scenario in these models is that two relevant gapped phases, separated by a gapless point, exist. In one of the phases, topological boundary...
Uploaded on: April 14, 2023 -
2021 (v1)Publication
When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set {λα } of coefficients related to the constants of motion. We determine the most elementary GGE deviation...
Uploaded on: April 14, 2023