matsho

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Academic interests

My main interest is topological phases in condensed matter systems, and more specifically topological superconductors. It is expected that these systems can realise excitations or "particles" that are neither bosons nor fermions. These so called anyons might be utilised in a quantum computer.

Previously I have also worked on quantum phenomena in low dimensional systems, with focus on Luttinger liquids in one dimension. A Luttinger liquid, which can be realised on the edge of a quantum Hall system, can give rise rise to excitations with a charge that is a fraction of the elementary charge.

Background

2013 - Postdoc, UiO.
2010 - 2013 Postdoc, Leipzig University and Max Planck Institute for Solid State Research, Germany.
2008 - 2010 Fellow, Nordita, Sweden.
2008 Phd, UiO.

Appointments

Vice representative for the temporary staff in Tilsettingsutvalget.

Horsdal, Mats & Hyart, Timo (2017). Robust semi-Dirac points and unconventional topological phase transitions in doped superconducting Sr2IrO4 tunnel coupled to t2g electron systems. SciPost Physics. 3. doi: 10.21468/SciPostPhys.3.6.041. Full text in Research Archive
Horsdal, Mats; Khaliullin, Giniyat; Hyart, Timo & Rosenow, Bernd (2016). Enhancing triplet superconductivity by the proximity to a singlet superconductor in oxide heterostructures. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 93(22). doi: 10.1103/PhysRevB.93.220502. Full text in Research Archive Show summary
We show how in principle a coherent coupling between two superconductors of opposite parity can be realized in a three-layer oxide heterostructure. Due to strong intraionic spin-orbit coupling in the middle layer, singlet Cooper pairs are converted into triplet ones and vice versa. This results in a large enhancement of the triplet superconductivity, persisting well above the native triplet critical temperature. © 2016 American Physical Society
Leinaas, Jon Magne; Horsdal, Mats & Hansson, Thors Hans (2009). Sharp fractional charges in Luttinger liquids. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 80(11). doi: 10.1103/PhysRevB.80.115327. Full text in Research Archive
Horsdal, Mats (2008). Effects of interaction-induced second Landau level mixing in the nu=1 quantum Hall effect. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 77. doi: 10.1103/PhysRevB.77.195312. Full text in Research Archive
Horsdal, Mats & Leinaas, Jon Magne (2007). Explicit mapping between a 2D quantum Hal l system and a 1D Luttinger liquid. II. Correlation functions. Physical Review B Condensed Matter. ISSN 0163-1829. 76. Full text in Research Archive
Horsdal, Mats & Leinaas, Jon Magne (2007). Explicit mapping between a 2D quantum Hal l system and a 1D Luttinger liquid. I. Luttinger parameters. Physical Review B Condensed Matter. ISSN 0163-1829. 76. Full text in Research Archive

View all works in NVA

Horsdal, Mats & Hyart, Timo (2017). Topological phase transitions in a doped Sr2IrO4 / metal heterostructure. Full text in Research Archive
Horsdal, Mats; Khaliullin, Giniyat; Hyart, Timo & Rosenow, Bernd (2015). Enhancing Triplet Superconductivity by proximity to a Singlet Superconductor in Oxide Heterostructures. Full text in Research Archive
Horsdal, Mats; Khaliullin, Giniyat; Hyart, Timo & Rosenow, Bernd (2015). Enhancing Triplet Superconductivity by the Proximity to a Singlet Superconductor in Oxide Heterostructures. Full text in Research Archive
Horsdal, Mats; Khaliullin, Giniyat; Hyart, Timo & Rosenow, Bernd (2015). Enhancing Triplet Superconductivity by the Proximity to a Singlet Superconductor in Oxide Heterostructures. Full text in Research Archive
Horsdal, Mats; Khaliullin, Giniyat; Hyart, Timo & Rosenow, Bernd (2015). Enhancing Triplet Superconductivity by the Proximity to a Singlet Superconductor in Oxide Heterostructures. Full text in Research Archive
Horsdal, Mats (2014). Cool and trendy cond-mat stuff - Majoranas, anyons and quantum computation. Full text in Research Archive
Horsdal, Mats & Leinaas, Jon Magne (2006). Hartree-Fock calculation of density and correlation functions in the nu=1 quantum Hall regime. Full text in Research Archive
Horsdal, Mats (2005). Hartree-Fock calculation of the correlation function in the v=1 Quantum Hall effect. Full text in Research Archive
Horsdal, Mats (2004). Mapping of Quantum Hall edges onto the Luttinger model. Full text in Research Archive
Horsdal, Mats; Leinaas, Jon-Magne & Viefers, Susanne Friederike (2008). The v=1 quantum Hall effect and its one-dimensional representation. Universitetet i Oslo. Full text in Research Archive Show summary
The present work is a study of the relationship between a quantum Hall system and its one-dimensional representation. The standard theory, which is based on general arguments, predicts that the edge of the quantum Hall system can be described as a Luttinger liquid with universal parameters determined by the bulk state. In the asymptotic limit the correlation function on the edge should therefore approach a power law with a universal exponent. The Luttinger liquid behaviour has indeed been verified experimentally, in the sense of a power law behaviour. However, the exponent deviates from the value predicted by the theory.<br> The thesis is focused on the microscopical description of a quantum Hall system, in contrast to the general arguments usually employed. This approach makes it possible to study both the effects of the electron interaction and the interplay between the two edges of the system more directly. Both analytical and numerical techniques have been used to study special cases of the system. It is shown that the electron interaction can lead to renormalization of the exponent and to oscillations in the electron density.

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Published Aug. 11, 2015 10:18 AM - Last modified Nov. 18, 2020 9:47 AM

Projects

No ongoing projects