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Study of transport properties of low-energy models relevant to cuprate superconductors and quantum spin liquids

Grant number: 16/05069-7
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date: August 01, 2016
End date: July 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Physics - Condensed Matter Physics
Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Eduardo Miranda
Grantee:Vanuildo Silva de Carvalho
Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated scholarship(s):17/16911-3 - Nematic quantum phase transition induced by transverse fields in strongly correlated electron systems, BE.EP.PD

Abstract

In this postdoc project, we describe in detail the key issues for the description of the electronic phase diagram of high-temperature superconductors known as cuprates. In this context, we emphasize the main difficulties for the understanding of the pseudogap phase and the non-Fermi liquid properties of the strange metal phase present in these materials and then propose several models based on the antiferromagnetic fluctuation mechanism for the description of the exotic properties of these phases through the calculation of transport properties such as, for instance, electrical and thermal conductivities. Another system we discuss in this project are the quantum spin liquid states. They are strongly correlated systems without long-range order, even in the regime of low temperatures that may have fractional excitations and topological order. In this case, models with strong spin-orbit interaction are one of the main candidates for the description of new quantum states with a phase transition to a Mott insulating phase. Due to this fact, we also intend to describe the transport properties of a stable phase of a spin-orbit model for double perovskites called chiral spin liquid in order to verify whether it describes the physics of the material Ba$_2$YMoO$_6$. The evaluation of transport properties for the models presented here will be based on the memory matrix method, since the theory describing cuprates and quantum spin liquids can flow to a strong coupling regime, with a complete breakdown of the description in terms of fermionic quasiparticles of the Fermi liquid theory. The last topics of this project include the schedule for its implementation, the way we disseminate the results and, finally, the corresponding references. (AU)

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Scientific publications (7)
(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)
DE CARVALHO, V. S.; FREIRE, H.; MIRANDA, E.; PEREIRA, R. G.. Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid. PHYSICAL REVIEW B, v. 98, n. 15, p. 12-pg., . (16/05069-7)
DE CARVALHO, VANUILDO S.; CHUBUKOV, V, ANDREY; FERNANDES, RAFAEL M.. Thermodynamic signatures of an antiferromagnetic quantum critical point inside a superconducting dome. Physical Review B, v. 102, n. 4, . (16/05069-7, 17/16911-3)
DE FARIAS, CARLENE S.; DE CARVALHO, VANUILDO S.; MIRANDA, EDUARDO; PEREIRA, RODRIGO G.. Quadrupolar spin liquid, octupolar Kondo coupling, and odd-frequency superconductivity in an exactly solvable model. Physical Review B, v. 102, n. 7, . (16/05069-7)
DE CARVALHO, V. S.; FREIRE, H.; MIRANDA, E.; PEREIRA, R. G.. Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid. Physical Review B, v. 98, n. 15, . (16/05069-7)
VIEIRA, LUCAS E.; DE CARVALHO, VANUILDO S.; FREIRE, HERMANN. DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons. ANNALS OF PHYSICS, v. 419, . (16/05069-7)
DE CARVALHO, VANUILDO S.; CHUBUKOV, ANDREY, V; FERNANDES, RAFAEL M.. Thermodynamic signatures of an antiferromagnetic quantum critical point inside a superconducting dome. PHYSICAL REVIEW B, v. 102, n. 4, p. 10-pg., . (17/16911-3, 16/05069-7)
DE FARIAS, CARLENE S.; DE CARVALHO, VANUILDO S.; MIRANDA, EDUARDO; PEREIRA, RODRIGO G.. Quadrupolar spin liquid, octupolar Kondo coupling, and odd-frequency superconductivity in an exactly solvable model. PHYSICAL REVIEW B, v. 102, n. 7, p. 16-pg., . (16/05069-7)