Superfluidity, entanglement and quantum phase transitions in nanomaterials via density functional theory and metric spaces approaches

• Grant number: 19/15560-8
• Support Opportunities: Regular Research Grants
• Duration: November 01, 2019 - January 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Vivian Vanessa França Henn
• Grantee: Vivian Vanessa França Henn
• Host Institution: Instituto de Química (IQ). Universidade Estadual Paulista (UNESP). Campus de Araraquara. Araraquara , SP, Brazil

Abstract

We propose the construction, optimization and application of density functionals for DFT calculations to investigate superfluidity, entanglement and quantum phase transitions in nanomaterials. Metric spaces and artificial neural networks will be used for testing and optimizing the density functionals. We will refine the metrics space approach and apply it to the study of quantum phase transitions in exotic superfluids and other critical phenomena in spin chains. The relationship between entanglement and the exotic superfluid phase will be investigated in disordered nanostructures. We will explore the intrinsic relationship between entanglement and magnetic susceptibility in order to detect entanglement in experiments via the measurement of susceptibility. (AU)

Scientific publications

(4)

(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)

ARISA, D.; FRANCA, V. V.. Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids. Physical Review B, v. 101, n. 21, JUN 26 2020. (19/15560-8)

CANELLA, G. A.; FRANCA, V. V.. Mott-Anderson metal-insulator transitions from entanglement. Physical Review B, v. 104, n. 13, OCT 1 2021. (19/15560-8)

CANELLA, G. A.; ZAWADZKI, K.; FRANCA, V. V.. Effects of temperature and magnetization on the Mott-Anderson physics in one-dimensional disordered systems. SCIENTIFIC REPORTS, v. 12, n. 1, p. 6-pg., 2022-05-24. (19/15560-8, 16/01343-7, 20/13115-4, 21/06744-8)

ARISA, D.; FRANCA, V. V.. Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids. PHYSICAL REVIEW B, v. 101, n. 21, p. 6-pg., 2020-06-26. (19/15560-8)