Topological matter, superconductivity, and Majorana modes for quantum computing — connecting theory to experiment.
Postdoctoral Research Associate in Dr. Felix Flicker's group at the H.H. Wills Physics Laboratory, University of Bristol — funded by the EPSRC grant "Exact Results in Aperiodic Systems."
My work lies at the intersection of topological quantum matter, superconductivity, and aperiodic systems. A central thread is connecting theory and experiment through observables accessible in transport, linear optics and nonlinear optical experiments. I am also drawn to topological matter in quasicrystals, with a focus on Majorana modes for quantum computing. Recent topics span multifold fermions and nonlinear optics, chiral and nematic superconductors and their optical probes, strong correlations in disordered metals, and Majorana modes and fractal phase transitions in quasicrystals.
Majorana modes for quantum computing in quasiperiodic systems — 1D Kitaev chains with quasicrystalline symmetries, fractal spectra and topological phase transitions in aperiodic lattices, and higher-order topological quasiparticles.
Optical probes of pairing in unconventional superconductors: chiral and nematic order, and optical signatures that characterise topological superconducting phases. Momentum-relaxation cutoffs for collective modes (Pines' demon) in Sr2RuO4.
Linear and nonlinear optical response (e.g. second-harmonic generation), the circular photogalvanic effect, and transport / optical fingerprints of multifold fermions in CoSi and RhSi.
A selection of representative work. For the complete list, see Google Scholar or arXiv.
After a long journey, our work on the quantum spin liquid candidate herbertsmithite is finally published in Nature Physics. Together with the team led by J. C. Séamus Davis, we combine experiment and theory to show how spinons — the fractionalized excitations of the kagome lattice — mediate the spin dynamics and shape the ground state of this remarkable material. Read it in Nature Physics → · Preprint →
Predicted in 1956, discovered only in 2023; in Sr₂RuO₄ it disagrees with the acoustic dispersion it should follow. We show the demon develops a universal momentum gap from momentum relaxation — reminiscent of a tachyon. Read the preprint →
We submitted a paper on Majorana bound states in superconducting quasicrystals — some genuinely surprising results. Read the preprint →
Published open-access in Physical Review B, with the code released on Zenodo. Paper → · Code →
Our colleague Julia Hannukainen wrote a fantastic piece on the Grete Hermann Network workshop. Read it →
Topological Quantum Computation with Quasicrystals · H.H. Wills Physics Laboratory, University of Bristol · 2024/2025.
Topological Quantum Computation with Quasicrystals · H.H. Wills Physics Laboratory, University of Bristol · 2024/2025.
Email: contact@masanchezmartinez.com
Office: Office 3.52, Department of Theoretical Physics
H.H. Wills Physics Laboratory, University of Bristol
Tyndall Avenue, Bristol BS8 1TL, UK
For collaborations, research visits, or Master's / PhD positions, email me with your CV and a short description of your research interests.