Studies on fermions and bosons in low dimensions and their applications in graphene and topological insulators

• Grant number: 18/20577-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: January 02, 2019
• End date: January 01, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Antonio Soares de Castro
• Grantee: Antonio Soares de Castro
• Visiting researcher: Luis Rafael Benito Castro
• Visiting researcher institution: Universidade Federal do Maranhão (UFMA). Centro de Ciências Exatas e Tecnologia (CCET), Brazil
• Host Institution: Faculdade de Engenharia (FEG). Universidade Estadual Paulista (UNESP). Campus de Guaratinguetá. Guaratinguetá , SP, Brazil

Abstract

The main purpose of this work plan is the detailed study of fermion and boson systems in low dimensions that present bound states and/or scattering states. The analytical solutions will be obtained by studying the Dirac (fermions) and Duffin-Kemmer-Petiau (bosons) equations. These solutions will be used for applications in the quantum Hall effect, spin quantum Hall effect and topological insulation for fermionic and bosonic systems. On the other hand, due to the analogy between disclinations in solids and cosmic strings, several results obtained from the analysis of cosmic strings can be useful in the study of condensed matter systems. In this context, as another objective of this work plan, we intend to deepen in the study of the effects of considering space-time of a cosmic string in the quantum Hall effect and topological insulators for fermionic and bosonic systems. (AU)

Scientific publications

(10)

(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)

CRUZ NETO, FRANCISCO A.; JIRON VICENTE, ANDRES G.; CASTRO, LUIS B.. Comment on ``Dirac fermions in Som-Raychaudhuri space-time with scalar and vector potential and the energy momentum distributions [Eur. Phys. J. C (2019) 79:541]{''}. EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 4, APR 30 2020. (18/20577-4)

LIMA, DANIEL F.; ANDRADE, FABIANO M.; CASTRO, LUIS B.; FILGUEIRAS, CLEVERSON; SILVA, EDILBERTO O.. On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries. EUROPEAN PHYSICAL JOURNAL C, v. 79, n. 7, JUL 15 2019. (18/20577-4)

SANTOS, L. C. N.; MOTA, C. E.; BARROS JR, C. C.; CASTRO, L. B.; BEZERRA, V. B.. Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity's rainbow. ANNALS OF PHYSICS, v. 421, OCT 2020. (18/20577-4)

CRUZ NETO, FRANCISCO A.; JIRON VICENTE, ANDRES G.; CASTRO, LUIS B.. Comment on "Dirac fermions in Som-Raychaudhuri space-time with scalar and vector potential and the energy momentum distributions [Eur. Phys. J. C (2019) 79:541]". EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 4, p. 3-pg., 2020-04-30. (18/20577-4)

OBISPO, ANGEL E.; FREITAS, GISELE B.; CASTRO, LUIS B.. Comment on "Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene" (J. Math. Phys. 57, 082105 (2016)]. Journal of Mathematical Physics, v. 60, n. 4, p. 5-pg., 2019-04-01. (18/20577-4)

AQUINO CURI, ELVIS J.; CASTRO, LUIS B.; DE CASTRO, ANTONIO S.. Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states. EUROPEAN PHYSICAL JOURNAL PLUS, v. 134, n. 6, JUN 2019. (18/20577-4)

NETO, FRANCISCO A. CRUZ; DA SILVA, FRANCIELE M.; SANTOS, LUIS C. N.; CASTRO, LUIS B.. Scalar bosons with Coulomb potentials in a cosmic string background: scattering and bound states. EUROPEAN PHYSICAL JOURNAL PLUS, v. 135, n. 1, JAN 2020. (18/20577-4)

VICENTE, ANDRES G. JIRON; CASTRO, LUIS B.; OBISPO, ANGEL E.; MEZA, LUIS E. ARROYO. Remarks on Thermodynamic Properties of a Double Ring-Shaped Quantum Dot at Low and High Temperatures. JOURNAL OF LOW TEMPERATURE PHYSICS, v. 202, n. 3-4, p. 372-381, FEB 2021. (18/20577-4)

NETO, FRANCISCO A. CRUZ; SOARES, CAMILA C.; CASTRO, LUIS B.. Comment on "Comment on Linear confinement of a scalar particle in a Godel-type space-time". EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 1, p. 2-pg., 2020-01-23. (18/20577-4)

OBISPO, ANGEL E.; CRUZ NETO, FRANCISCO A.; JIRON VICENTE, ANDRES G.; CASTRO, L. B.. Comment on "Chern-Simons theory and atypical Hall conductivity in the Varma phase". PHYSICAL REVIEW B, v. 102, n. 20, p. 4-pg., 2020-11-03. (18/20577-4)