Juan L. Mañes

Existence and topological stability of Fermi points in multilayered graphene

We study the existence and topological stability of Fermi points in a graphene layer and stacks with many layers. We show that the discrete symmetries (space-time inversion) stabilize the Fermi points in monolayer, bilayer, and multilayer graphenes with orthorhombic stacking. The bands near

Symmetry-based approach to electron-phonon interactions in graphene

k=0

Gauge fields from strain in graphene

and

Existence of bulk chiral fermions and crystal symmetry

ϵ=0

Generalized effective Hamiltonian for graphene under nonuniform strain

in multilayers with the Bernal stacking depend on the parity of the number of layers, and Fermi points are unstable when the number of layers is odd. The low-energy changes in the electronic structure induced by commensurate perturbations which mix the two Dirac points are also investigated.

Parity violating gravitational response and anomalous constitutive relations

We use the symmetries of monolayer graphene to write a set of constraints that must be satisfied by any electron-phonon interaction Hamiltonian. The explicit solution as a series expansion in the momenta gives the most general, model-independent couplings between electrons and long-wavelength acoustic and optical phonons. As an application, the possibility of describing elastic strains in terms of effective electromagnetic fields is considered in detail, with an emphasis on group-theory conditions and the role of time-reversal symmetry.

Portrait of the String as a Random Walk

This research was supported in part by Spanish MECD Grants No. FIS2008-00124, No. FIS2011-23713, No. PIB2010BZ-00512, and No. FPA2009-10612, the Spanish Consolider-Ingenio 2010 Programme CPAN (CSD2007- 00042), and Basque Government Grant No. IT559-10. F.d.J. acknowledges support from the “Programa Nacional de Movilidad de Recursos Humanos” (Spanish MECD).

Parity odd equilibrium partition function in 2 + 1 dimensions

We consider the existence of bulk chiral fermions around points of symmetry in the Brillouin zone of nonmagnetic three-dimensional (3D) crystals with negligible spin-orbit interactions. We use group theory to show that this is possible, but only for a reduced number of space groups and points of symmetry that we tabulate. Moreover, we show that for a handful of space groups the existence of bulk chiral fermions is not only possible but unavoidable, irrespective of the concrete crystal structure. Thus our tables can be used to look for bulk chiral fermions in a specific class of systems, namely, that of nonmagnetic

Large N limit of extremal non-supersymmetric black holes

3\text{D}

Effective theory for the Goldstone field in the BCS–BEC crossover at T=0

crystals with sufficiently weak spin-orbit coupling. We also discuss the effects of spin-orbit interactions and possible extensions of our approach to Weyl semimetals, crystals with magnetic order, and systems with Dirac points with pseudospin 1 and