466 research outputs found
Odd-parity superconductors with two-component order parameters: nematic and chiral, full gap and Majorana node
Motivated by the recent experiment indicating that superconductivity in the
doped topological insulator CuBiSe has an odd-parity pairing
symmetry with rotational symmetry breaking, we study the general class of
odd-parity superconductors with two-component order parameters in trigonal and
hexagonal crystal systems. In the presence of strong spin-orbit interaction, we
find two possible superconducting phases below , a time-reversal-breaking
(i.e., chiral) phase and an anisotropic (i.e., nematic) phase, and determine
their relative energetics from the gap function in momentum space. The nematic
superconductor generally has a full quasi-particle gap, whereas the chiral
superconductor with a three-dimensional (3D) Fermi surface has point nodes with
lifted spin degeneracy, resulting in itinerant Majorana fermions in the bulk
and topological Majorana arcs on the surface.Comment: 4+ pages, 2 figures; 20 pages suppl mat + 4 figures; published
versio
Multi- hexagonal spin density waves and dynamically generated spin-orbit coupling: time-reversal invariant analog of the chiral spin density wave
We study hexagonal spin-channel ("triplet") density waves with commensurate
-point propagation vectors. We first show that the three components of
the singlet charge density and charge-current density waves can be mapped to
multi-component nonzero angular momentum order in three dimensions ()
with cubic crystal symmetry. This one-to-one correspondence is exploited to
define a symmetry classification for triplet -point density waves using the
standard classification of spin-orbit coupled electronic liquid crystal phases
of a cubic crystal. Through this classification we naturally identify a set of
non-coplanar spin density and spin-current density waves: the chiral spin
density wave and its time-reversal invariant analog. These can be thought of as
and spin-orbit coupled isotropic -phase orders. In
contrast, uniaxial spin density waves are shown to correspond to
-phases. The non-coplanar triple- spin-current density wave realizes
a novel semimetal state with three flavors of four-component spin-momentum
locked Dirac cones, protected by a crystal symmetry akin to non-symmorphic
symmetry, and sits at the boundary between a trivial and topological insulator.
In addition, we point out that a special class of classical spin states,
defined as classical spin states respecting all lattice symmetries up to global
spin rotation, are naturally obtained from the symmetry classification of
electronic triplet density waves. These symmetric classical spin states are the
classical long-range ordered limits of chiral spin liquids.Comment: 14 + 4 pages, 5 + 0 figures; published versio
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