Electron Density and Compressibility in the Kitaev Model with a Spatially Modulated Phase in the Superconducting Pairing
A current flowing through a one-dimensional Kitaev chain induces a spatial modulation in its superconducting pairing, characterized by a wavevector <i>Q</i>, which is known to induce two types of topological phase transitions: one is the customary band topology transition between gapped...
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2025-02-01
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| author | Fabián G. Medina Cuy Fabrizio Dolcini |
| author_facet | Fabián G. Medina Cuy Fabrizio Dolcini |
| author_sort | Fabián G. Medina Cuy |
| collection | DOAJ |
| description | A current flowing through a one-dimensional Kitaev chain induces a spatial modulation in its superconducting pairing, characterized by a wavevector <i>Q</i>, 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula> and the compressibility <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> across the two types of transitions, as a function of the model parameters. We find that the behavior of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula> as a function of <i>Q</i> and chemical potential <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> enables one to infer the ground state phase diagram. Moreover, the analysis of the compressibility <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> as a function of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> enables one to distinguish the two transitions: While <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> exhibits a symmetric divergence across the band topology transition, it displays an asymmetric jump across the Lifshitz transition. |
| format | Article |
| id | doaj-art-decff77ba36b4617952b905f33e68156 |
| institution | DOAJ |
| issn | 2410-3896 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
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| series | Condensed Matter |
| spelling | doaj-art-decff77ba36b4617952b905f33e681562025-08-20T02:42:40ZengMDPI AGCondensed Matter2410-38962025-02-011011410.3390/condmat10010014Electron Density and Compressibility in the Kitaev Model with a Spatially Modulated Phase in the Superconducting PairingFabián G. Medina Cuy0Fabrizio Dolcini1Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyDipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyA current flowing through a one-dimensional Kitaev chain induces a spatial modulation in its superconducting pairing, characterized by a wavevector <i>Q</i>, 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula> and the compressibility <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> across the two types of transitions, as a function of the model parameters. We find that the behavior of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula> as a function of <i>Q</i> and chemical potential <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> enables one to infer the ground state phase diagram. Moreover, the analysis of the compressibility <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> as a function of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> enables one to distinguish the two transitions: While <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>κ</mi></semantics></math></inline-formula> exhibits a symmetric divergence across the band topology transition, it displays an asymmetric jump across the Lifshitz transition.https://www.mdpi.com/2410-3896/10/1/14Kitaev modeltopological superconductorsp-wave superconductivitytopological transitionsLifshitz transitions |
| spellingShingle | Fabián G. Medina Cuy Fabrizio Dolcini Electron Density and Compressibility in the Kitaev Model with a Spatially Modulated Phase in the Superconducting Pairing Condensed Matter Kitaev model topological superconductors p-wave superconductivity topological transitions Lifshitz transitions |
| title | Electron Density and Compressibility in the Kitaev Model with a Spatially Modulated Phase in the Superconducting Pairing |
| title_full | Electron Density and Compressibility in the Kitaev Model with a Spatially Modulated Phase in the Superconducting Pairing |
| title_fullStr | Electron Density and Compressibility in the Kitaev Model with a Spatially Modulated Phase in the Superconducting Pairing |
| title_full_unstemmed | Electron Density and Compressibility in the Kitaev Model with a Spatially Modulated Phase in the Superconducting Pairing |
| title_short | Electron Density and Compressibility in the Kitaev Model with a Spatially Modulated Phase in the Superconducting Pairing |
| title_sort | electron density and compressibility in the kitaev model with a spatially modulated phase in the superconducting pairing |
| topic | Kitaev model topological superconductors p-wave superconductivity topological transitions Lifshitz transitions |
| url | https://www.mdpi.com/2410-3896/10/1/14 |
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