Coordinators: Eduardo Hernández, Rafael Roldán

31 January 2019, 12:00 h. Sala de Seminarios, 182

Dpto de Física de Materiales, Universidad Complutense de Madrid

What happens when particles move at high speeds, comparable to the speed of light? Classically the result is well-known; Newtonian mechanics evolves into special relativity. We can also ask the same question for a quantum mechanical system - will a quantum wavepacket pass into the relativistic regime as its speed increases?

The Airy wavepacket is a particular solution of the Schrödinger equation that appears to undergo a constant acceleration. It should thus eventually become relativistic when its velocity becomes similar to the speed of light. We can study this conveniently by confining it to move in a lattice instead of free space. The lattice provides a natural "speed limit" given by its maximum group velocity, which can be many orders of magnitude lower than the true speed of light. In this talk I will show that an Airy wavepacket moving in a lattice is indeed described by relativistic equations, which, rather unexpectedly, arise from evolution under the standard non-relativistic Schrödinger equation [1].

A natural system to study this effect is in gases of cold atoms held in optical lattice potentials. I will show how these are thus excellent candidates for studying quantum systems in extreme relativistic conditions in the laboratory, and how Floquet engineering techniques can be used to control their properties.

1. C.E. Creffield, Phys. Rev. A 98, 063609 (2018).

24 January 2019, 12:00 h. Sala de Seminarios, 182

Dpto de Física Teórica, Universidad Complutense de Madrid

In this talk, I will describe our recent efforts to understand correlation effects in fermionic symmetry-protected topological (SPT) phases of matter by exploring a family of Hubbard ladders that can be understood as discretized versions of the Gross-Neveu model in relativistic QFTs. I will discuss how the combination of condensed-matter tools (i.e. quantum impurity models and DMRG) and high-energy physics techniques (large-N and Wilsonian RG) offer a neat understanding of strongly-correlated SPT phases and possible quantum phase transitions to other Landau-ordered phases. Finally, I will discuss a possible scheme for a cold-atom implementation of such Hubbard ladders.

17 January 2019, 12:00 h. Sala de Seminarios, 182

Departamento de Fisica de Materiales UPV/EHU and Donostia International Physics

The magnetic anisotropy determines the magnetization of a system at different orientations of the applied filed. This process is often dominated by the so-called magnetocrystalline contribution, which originates from the spin-orbit interaction (SOI). I will review some theoretical aspects of the magnetocrystalline anisotropy (MCA). First, I will talk about effective models for single-ions (spin Hamiltonians and multiplets). In the opposite limit of extended systems, the SOI effects on the bandstructure drive the MCA. I will show that, under suitable assumptions, a second-order perturbative treatment of the SOI can efficiently account for the MCA behaviour. As illustrative examples, we will see results on rare-earth alloys, metal-organic coordination networks, and Fe-based alloys.

15 January 2019, 12:00 h. Sala de Seminarios, 182

DIPC

We present a theoretical study of electronic transport in a hybrid junction consisting of an excitonic insulator sandwiched between a normal and a superconducting electrode. The normal region is described as a two-band semimetal and the superconducting lead as a two-band superconductor. In the excitonic insulator region, the coupling between carriers in the two bands leads to an excitonic condensate and a gap Gamma in the quasiparticle spectrum. We identify four different scattering processes at both interfaces. Two types of normal reflection, intra- and inter-band [1]; and two different Andreev reflections, one retro-reflective within the same band and one specular-reflective between the two bands [2,3]. We calculate the differential conductance of the structure and show the existence of a minimum at voltages of the order of the excitonic gap. Our findings are useful towards the detection of the excitonic condensate and provide a plausible explanation of recent transport experiments on HgTe quantum wells and InAs/GaSb bilayer systems [3-5].

References

[1] M. Rontani and L. J. Sham, Phys. Rev. Lett. 94 186404 (2005).

[2] D.B., T. M. Klapwijk and F. S. Bergeret, Phys. Rev. Lett. 119 067001 (2017).

[3] D.B, B. Bujnowski and F. S. Bergeret, arXiv:1806.03991, Advanced Quantum Technology, in press (2019).

[3] A. Kononov et al., Phys. Rev. B 93 041303 (2016).

[4] A. Kononov et al., Phys. Rev. B 96, 245304 (2017).

[5] Yu et al., New J. Phys. 20 053063(2018).

10 January 2019, 12:00 h. Sala de Seminarios, 182

Instituto de Física Teórica (UAM-CSIC)

After a basic introduction to Gauge/Gravity duality I will show it at work by reviewing some of its applications to Condensed Matter physics like the realization of a strongly coupled superfluid or the more ambitious attempt at describing quantum critical phases relevant for the physics of strange metals.