Symmetric-Gapped Surface States of Fractional Topological Insulators

We construct the symmetric-gapped surface states of a fractional topological insulator with electromagnetic $\theta$-angle $\theta_{em} = \frac{\pi}{3}$ and a discrete $\mathbb{Z}_3$ gauge field. They are the proper generalizations of the T-pfaffian state and pfaffian/anti-semion state and feature an extended periodicity compared with their of "integer" topological band insulators counterparts. We demonstrate that the surface states have the correct anomalies associated with time-reversal symmetry and charge conservation.Comment: 5 pages, 33 references and 2 pages of supplemental materia

Ampliación y mejora de la identificación de factores de riesgo relacionados con la pérdida de calidad de vida tras la hospitalización en ancianos

Los avances en la medicina y la mejora de la calidad de cuidados, entre otros, han hecho que la esperanza de vida en España haya aumentado de manera significativa en las últimas décadas. Por otra parte, la evolución demográfica de nuestra sociedad conduce actualmente a una mayor proporción de personas mayores. El paso del tiempo hace que su salud cada vez sea más delicada y que tiendan a presentar pluripatología. Todo ello conlleva un aumento del número de ingresos hospitalarios con un importante peso en el total de los gastos sanitarios. La capacidad de adaptación en el paciente anciano está mermada, por lo que los días de ingreso pueden producir una pérdida significativa de la movilidad y de la calidad de vida relacionada con la salud, aunque es posible que no afecte a todos por igual. Existen escasos estudios previos sobre este tema, son casi inexistentes en nuestra población, y ninguno ha empleado la nueva versión del test EQ-5D, una escala de calidad de vida relacionada con la salud (CVRS) que presenta mejoras respecto a la versión clásica.Grado en Enfermerí

Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems

We analyze the superconducting instabilities in the vicinity of the quantum-critical point of an inversion symmetry breaking order. We first show that the fluctuations of the inversion symmetry breaking order lead to two degenerate superconducting (SC) instabilities, one in the $s$-wave channel, and the other in a time-reversal invariant odd-parity pairing channel (the simplest case being the same as the of $^3$He-B phase). Remarkably, we find that unlike many well-known examples, the selection of the pairing symmetry of the condensate is independent of the momentum-space structure of the collective mode that mediates the pairing interaction. We found that this degeneracy is a result of the existence of a conserved fermionic helicity, $\chi$, and the two degenerate channels correspond to even and odd combinations of SC order parameters with $\chi=\pm1$. As a result, the system has an enlarged symmetry $U(1)\times U(1)$, with each $U(1)\times U(1)$ corresponding to one value of the helicity $\chi$. Because of the enlarged symmetry, this system admits exotic topological defects such as a fractional quantum vortex, which we show has a Majorana zero mode bound at its core. We discuss how the enlarged symmetry can be lifted by small perturbations, such as the Coulomb interaction or Fermi surface splitting in the presence of broken inversion symmetry, and we show that the resulting superconducting state can be topological or trivial depending on parameters. The $U(1)\times U(1)$ symmetry is restored at the phase boundary between the topological and trivial SC states, and allows for a transition between topologically distinct SC phases without the vanishing of the order parameter. We present a global phase diagram of the superconducting states and discuss possible experimental implications.Comment: 14 pages, 5 figures, to match the published versio