Speaker
Description
In condensed matter systems where translational invariance is inevitably or deliberately broken, probing local observables is paramount to addressing a
wealth of intriguing phenomena, such as multifractality, quasiparticle interference and real-space orbital magnetic textures.
In this talk we show that the well-known computational bottleneck of computing local properties in non-periodic lattices of realistic sizes can be
circumvented by the use of a novel, highly scalable real-space approach [1]. After demonstrating its significant advantages by benchmarking on the π-flux
model with isolated and clustered defects, we extend our numerical framework to inhomogeneous correlated systems [2]. As a proof of concept, the method
is used to investigate the local robustness of s-wave and p-wave superconducting phases in disordered graphene in a fully non-perturbative fashion. These
results bring opportunities for the real-space simulation of non-periodic quantum phases of matter beyond previous approaches.
[1] Veiga, H. P., Pinheiro, D. R., Pires, J. P. Santos, & Lopes, J. M. Viana Parente. (2026). Markov Inequality as a Tool for Linear-Scaling Estimation of Local Observables.Phys. Rev. Research 8, 033015
| Which topic best fits your talk? | Condensed Matter Physics and Nanomaterials |
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| Affiliations | CF-UM-UP, Universidade de York |