Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T29: Strongly Correlated Systems, Including Quantum Fluids and Solids XVII
11:30 AM–2:18 PM,
Thursday, March 9, 2023
Room: Room 221
Sponsoring
Unit:
DCMP
Chair: Michael Hertaeg, Durham University
Abstract: T29.00003 : Non-interacting universality of quasiperiodic-induced localization transitions in 1d*
11:54 AM–12:06 PM
Presenter:
Miguel d Gonçalves
(CeFEMA, Instituto Superior Técnico, Universidade de Lisboa)
Authors:
Miguel d Gonçalves
(CeFEMA, Instituto Superior Técnico, Universidade de Lisboa)
Bruno Amorim
(Centro de Física das Universidades do Minho e Porto, University of Minho, Campus of Gualtar, 4710-057, Braga, Portugal)
Eduardo V Castro
(Centro de Física das Universidades do Minho e Porto, Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, 4169-007 Porto, Portugal)
Pedro Ribeiro
(CeFEMA, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal)
Jedediah H Pixley
(Department of Physics and Astronomy, Center for Materials Theory, Rutgers University, Piscataway, NJ, 08854, USA)
The RG flow is generated by increasing the size of commensurate approximants to approach the infinite incommensurate system. Our method tracks how the ground-state energy depends on phase twists and real-space shifts under this flow.
For widely different interacting and non-interacting models, we show that twists (shifts) become irrelevant in the localized (extended) phase. We exploit these effects to determine many-body delocalization-localization critical points with unprecedented accuracy and to perform thorough scaling analysis around criticality.
Remarkably, our findings show that close to delocalization critical points interactions are irrelevant and the many-body ground-state flows to non-interacting fixed points, i.e. the ground-state physics close to criticality is not affected by interactions.
[1] Hidden dualities in 1D quasiperiodic lattice models, Miguel Gonçalves, Bruno Amorim, Eduardo V. Castro, Pedro Ribeiro, SciPost Phys. 13, 046 (2022)
[2] Renormalization-Group Theory of 1D quasiperiodic lattice models with commensurate approximants, Miguel Gonçalves, Bruno Amorim, Eduardo V. Castro, Pedro Ribeiro, arXiv:2206.13549 (2022)
*The author acknowledges support from FCT-Portugal through the Grant SFRH/BD/145152/2019 and partial support through Grant No. UID/CTM/04540/2019.
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