[institut] SCL seminar, C. A. R. Sa de Melo, cetvrtak, 10. jul, 12:00

Antun Balaz antun at ipb.ac.rs
Mon Jul 7 09:21:18 CEST 2014


Поштоване колегинице и колеге,

Позивам вас на SCL семинар који ће у четвртак, 10. јула 2014. године у 12:00 у читаоници библиотеке Института за физику одржати Carlos A. R. Sa de Melo (Georgia Institute of Technology, Atlanta, USA). Наслов семинара је:

Who is the Lord of the Rings in the Zeeman-spin-orbit Saga: Majorana, Dirac or Lifshitz?

Abstract:

We will discuss the simultaneous effects of Zeeman and spin-orbit fields during the evolution from BCS to BEC superfluidity for ultra-cold fermions. We will focus on spin-orbit couplings with equal Rashba and Dresselhaus strengths, and show that topological phase transitions of the Lifshitz class occur through the emergence of Majorana and/or Dirac fermions as Zeeman and spin-orbit fields are varied. Topological quantum phase transitions in superfluids with non-s-wave order parameters have been conjectured theoretically for 
p-wave and d-wave systems for many years, but never observed experimentally due to the absence of tunable parameters. However, Zeeman or spin-orbit fields and interactions can be tuned in the context of ultra-cold atoms and allow for the visitation of several different phases. For systems with zero Zeeman field, the evolution from BCS to BEC superfluidity in the presence of spin-orbit effects is only a crossover [1] as the system remains fully gapped, even though a triplet component of the order parameter emerges. In contrast, for finite Zeeman fields, spin-orbit coupling induces a triplet component in the order parameter that produces nodes in the quasiparticle excitation spectrum leading to bulk topological phase transitions of the Lifshitz type [2]. Additionally, a fully gapped phase exists, where a crossover from indirect to direct gap occurs. For spin-orbit couplings with equal Rashba and Dresselhaus strengths the nodal quasi-particles are Dirac fermions that live at and in the vicinity of rings of nodes. Transitions from and to nodal phases can occur via the emergence of zero-mode Majorana fermions at phase boundaries, where rings of nodes of Dirac fermions annihilate [3].  Lastly, we will characterize different phases via spectroscopic and thermodynamic properties and conclude that Lifshitz is the “Lord of the Rings” [4].

[1] Li Han, C. A. R. Sá de Melo, “Evolution from BCS to BEC superfluidity in the presence of spin-orbit coupling”, Phys. Rev. A 85, 011606(R) (2012), see also arXiv:1106.3613v1. 

[2] Kangjun Seo, Li Han and C. A. R. Sá de Melo,  “Topological phase transitions in ultra-cold Fermi superfluids: the evolution from BCS to BEC under artificial spin-orbit fields”, Phys. Rev. A 85, 033601 (2012), see also arXiv:1108.4068v2.

[3] Kangjun Seo, Li Han and C. A. R. Sá de Melo, “Artificial spin-orbit coupling in ultra-cold Fermi superfluids”,  arXiv:1110.6364v1.

[4] Kangjun Seo, Li Han, and C. A. R. Sá de Melo, “Emergence of Majorana and Dirac Particles in Ultracold Fermions via Tunable Interactions, Spin-Orbit Effects, and Zeeman Fields”, Phys. Rev. Lett. 109, 105303 (2012), see also arXiv:1201.0177v1.


Срдачан поздрав,
Антун Балаж

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Antun Balaz
E-mail: antun at ipb.ac.rs
Web: http://www.scl.rs/antun

Phone: +381 11 3713152
Fax: +381 11 3162190

Scientific Computing Laboratory
Institute of Physics Belgrade
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