# About

My name is Jose Lado and I am an assistant professor at Aalto University, working on the theory of quantum materials. You can check our "Correlated Quantum Materials" group webpage here.

**Current main research lines**

**Current main research lines**

## Emergent quantum phenomena in van der Waals materials

Van der Waals heterostructures provide an outstanding platform to engineer elusive quantum phenomena, by exploiting materials engineering, twist engineering and proximity effects. We are interested in developing new theoretical routes to exploit the flexibility of these materials to create exotic physics not accessible in conventional compounds. On the theory side, among others, in this line, we recently showed how to generate artificial gauge fields, tunable frustrated magnets, and controllable correlated states in twisted graphene multilayers. In collaboration with experimental groups, we recently showed how to probe magnetic excitations in van der Waals magnets, how to drive van der Waals magnets to a frustrated regime by spin-orbit engineering, and how to probe crystal field effects in twisted graphene multilayers.

## Interacting & quasiperiodic topology and exotic excitations in condensed matter systems

The interplay of strong electronic interactions and topology represents one of the most exciting lines in condensed matter, opening venues to engineer quantum excitations not present in nature, such as fractionalized excitations, supersymmetric excitations and emergent topological states. Among others, in this line, we recently showed how to create Chern insulators by exploiting interactions in topological metals, how to engineer topological excitations by exploiting quasiperiodic many-body states, how to create solitonic excitations between quantum disordered magnets and superconductors, and in collaboration with an experimental group how to generate and probe critical quasiperiodic states. The methodologies that we develop are implemented in freely available in an open source library to study electronic, interacting and topological properties of tight binding models.

## Engineering and detecting unconventional superconductivity

Unconventional superconductors are highly pursued for their exotic quantum properties, and ultimately for their potential for topological quantum computing. However, these states are extremely rare to find and detect in nature, with very few compounds showing signatures of such physics. Among others, in this line, we recently showed how to create a topological superconductor with antiferromagnets, how to detect the interplay between atomic defects and moire superconductivity in twisted graphene bilayers, how to detect non-unitary multiorbital superconductors in angle-resolved photo-emission spectroscopy experiments, and how moire patterns promote topological superconducting states.

## Quantum neural-network and tensor-network algorithms

Understanding exotic phenomena in quantum systems often requires developing new theoretical methods for model analysis and prediction. In particular, we are especially interested in developing new methodologies to understand and detect quantum-many body phenomena using a new family of network algorithms. In this direction, recently we demonstrated how to power-up many-body methodologies with neural-network algorithms, how to compute dynamical topological excitations in many-body systems using kernel polynomial tensor-network methods, how to exploit tensor-network algorithms to predict quantum many-body criticality. Most of the methods we design are also implemented in freely available open source libraries we develop to solve quantum many-body problems with tensor networks.

## Short bio

I am an assistant professor in theoretical physics at Aalto University, in Finland, since 2019. I was an ETH Fellow at the Institute for Theoretical Physics at ETH Zurich, with Prof. Manfred Sigrist and Prof. Oded ZIlberberg from 2017-2019. I got my Ph.D. between 2013-2016 working in the Theory of Nanostructures group at INL, Portugal, led by Prof. Joaquin Fernandez Rossier. My research focuses on the theory of emergent phenomena in topological and correlated quantum materials. In particular, I focus on engineering systems where electronic correlations and topology yield exotic physics such as symmetry broken states, topological excitations and ultimately emerging fractionalized particles. Apart from those purely theoretical research lines, I often work in collaboration with experimental groups studying quantum materials in general, and two-dimensional materials in particular.

## Open source development

pyqula: Python library to perform tight binding calculations in a variety of systems

dmrgpy: Python library to perform density matrix renormalization group in many body systems (based on ITensor)

Quantum Lattice: User interface to perform tight binding calculations (based on pyqula)

SpinFlare: User interface to solve quantum spin chains with matrix product techniques (based on dmrgpy)