Studying spin-liquid phases with projected wave functions

• Grant number: 23/06101-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: September 01, 2023
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Eric de Castro e Andrade
• Grantee: Carlo de Castro Bellinati
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 21/06629-4 - Electronic correlations in quantum materials: inhomogeneities and frustration, AP.JP2
• Associated scholarship(s): 24/11530-5 - Variational study of the spin-1 Kitaev model, BE.EP.MS

Abstract

In quantum magnets, competing exchange interactions and geometric frustration can lead to unconventional magnetic states, as non-coplanar spin structures, or even disordered states, as spin liquids. The search for quantum spin liquids represents the challenge of understanding the novel phases beyond the standard Landau theory of phase transitions rooted in the concept of spontaneous symmetry breaking, as these states show no long-range magnetic order. They are examples of the rapidly evolving field of topological condensed matter physics, displaying the hallmarks of topological order and fractionalized excitations. In this work, we would like to investigate putative spin-liquid candidates combining the parton construction with Matrix Product States (MPS), a very flexible tool deeply rooted in the concept of entanglement entropy.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ARAUJO, RONALDO N.; BELLINATI, CARLO C.; ANDRADE, ERIC C.. Fragile magnetic order in metallic quasicrystals. PHYSICAL REVIEW B, v. 110, n. 16, p. 12-pg., 2024-10-15. (22/14330-1, 21/06629-4, 22/15453-0, 23/06101-5)