Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916675203366912 |
|---|---|
| author | Cuy, Fabian G. Medina Dolcini, Fabrizio |
| author_facet | Cuy, Fabian G. Medina Dolcini, Fabrizio |
| contents | A current flowing through a one-dimensional Kitaev chain induces a spatial modulation in its superconducting pairing, characterized by a wave vector $Q$, which is known to induce two types of topological phase transitions: one is the customary band topology transition between gapped phases, while the other is a Lifshitz transition related to the Fermi surface topology and leading to a gapless superconducting phase. We investigate the behavior of the electron density $ρ$ and the compressibility $κ$ across the two types of transitions, as a function of the model parameters. We find that the behavior of $ρ$ as a function of $Q$ and chemical potential $μ$ enables one to infer the ground state phase diagram. Moreover, the analysis of the compressibility $κ$ as a function of $μ$ enables one to distinguish the two transitions: While $κ$ exhibits a symmetric divergence across the band topology transition, it displays an asymmetric jump across the Lifshitz transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing Cuy, Fabian G. Medina Dolcini, Fabrizio Superconductivity Mesoscale and Nanoscale Physics A current flowing through a one-dimensional Kitaev chain induces a spatial modulation in its superconducting pairing, characterized by a wave vector $Q$, which is known to induce two types of topological phase transitions: one is the customary band topology transition between gapped phases, while the other is a Lifshitz transition related to the Fermi surface topology and leading to a gapless superconducting phase. We investigate the behavior of the electron density $ρ$ and the compressibility $κ$ across the two types of transitions, as a function of the model parameters. We find that the behavior of $ρ$ as a function of $Q$ and chemical potential $μ$ enables one to infer the ground state phase diagram. Moreover, the analysis of the compressibility $κ$ as a function of $μ$ enables one to distinguish the two transitions: While $κ$ exhibits a symmetric divergence across the band topology transition, it displays an asymmetric jump across the Lifshitz transition. |
| title | Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing |
| topic | Superconductivity Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2504.04123 |