Searching for a new definition of topological invariant

• Grant number: 12/03210-3
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate (Direct)
• Start date: August 01, 2012
• End date: July 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Amir Ordacgi Caldeira
• Grantee: Pedro Leopoldo e Silva Lopes
• Supervisor: Shinsei Ryu
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: University of Illinois at Urbana-Champaign, United States
• Associated to the scholarship: 09/18336-0 - Relativistic particles and similar excitations in condensed matter, BP.DD

Abstract

We shall study the topological invariant definitions in topological insulators and superconductors. We will search for a definition, different from the usual ones, which is robust, describing and characterizing in an adequate manner the systems of interest when and even if interactions between the particles are present. (AU)

Scientific publications

(6)

(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)

STONE, MICHAEL; LOPES, PEDRO L. E S.. Effective action and electromagnetic response of topological superconductors and Majorana-mass Weyl fermions. Physical Review B, v. 93, n. 17, MAY 3 2016. (12/03210-3, 09/18336-0)

WEN, XUEDA; CHO, GIL YOUNG; LOPES, PEDRO L. S.; GU, YINGFEI; QI, XIAO-LIANG; RYU, SHINSEI. Holographic entanglement renormalization of topological insulators. Physical Review B, v. 94, n. 7, AUG 11 2016. (12/03210-3, 09/18336-0)

LOPES, PEDRO L. E S.; TEO, JEFFREY C. Y.; RYU, SHINSEI. Effective response theory for zero-energy Majorana bound states in three spatial dimensions. Physical Review B, v. 91, n. 18, MAY 26 2015. (12/03210-3, 09/18336-0)

STONE, MICHAEL; LOPES, PEDRO L. E S.. Effective action and electromagnetic response of topological superconductors and Majorana-mass Weyl fermions. PHYSICAL REVIEW B, v. 93, n. 17, p. 12-pg., 2016-05-03. (12/03210-3, 09/18336-0)

LOPES, PEDRO L. E S.; TEO, JEFFREY C. Y.; RYU, SHINSEI. Effective response theory for zero-energy Majorana bound states in three spatial dimensions. Physical Review B, v. 91, n. 18, p. 7-pg., 2015-05-26. (12/03210-3, 09/18336-0)

WEN, XUEDA; CHO, GIL YOUNG; LOPES, PEDRO L. S.; GU, YINGFEI; QI, XIAO-LIANG; RYU, SHINSEI. Holographic entanglement renormalization of topological insulators. PHYSICAL REVIEW B, v. 94, n. 7, p. 22-pg., 2016-08-11. (12/03210-3, 09/18336-0)