The Joint Condensed Matter Seminar (JCMS) series is organised by KTH Royal Insitute of Technology, Nordita, and Stockholm University.
On Tuesday, February 25th, 2025 from 14.15 to 15.15 we will host a seminar by Nicolo Defenu from ETH Zurich.
Tuneable universality for quantum technology
The concept of universality has profoundly influenced our understanding of many-body physics, primarily within homogeneous systems, where the scaling of lattice systems can be described by continuous $\varphi^{4}$-theories in integer Euclidean dimension. In this talk, we explore universality on a non-homogeneous graph, specifically the long-range diluted graph (LRDG). Our analysis reveals that the scaling theory of such systems is governed by a single parameter, the spectral dimension $d_{s}$, which acts as the control parameter in complex geometries. The LRDG enables continuous tuning of the spectral dimension to both integer and non-integer values, allowing us to determine universal exponents as continuous functions of the dimension. The importance of having tuneable universal scaling in quantum technology will be also discussed.