@article{ISI:000423117300007,
 abstract = {Recently developed parity (P) and time-reversal (T) symmetric
non-Hermitian systems govern a rich variety of new and
characteristically distinct physical properties, which may or may not
have a direct analog in their Hermitian counterparts. We study here a
non-Hermitian, PT - symmetric superconducting Hamiltonian that possesses
a real quasiparticle spectrum in the PT - unbroken region of the
Brillouin zone. Within a single-band mean-field theory, we find that
real quasiparticle energies are possible when the superconducting order
parameter itself is either Hermitian or anti-Hermitian. Within the
corresponding Bardeen-Cooper-Schrieffer (BCS) theory, we find that
several properties are characteristically distinct and novel in the
non-Hermitian pairing case than its Hermitian counterpart. One of our
significant findings is that while a Hermitian superconductor gives a
secondorder phase transition, the non-Hermitian one produces a robust
first-order phase transition. The corresponding thermodynamic properties
and the Meissner effect are also modified accordingly. Finally, we
discuss how such a PT - symmetric pairing can emerge from an
antisymmetric potential, such as the Dzyloshinskii-Moriya interaction,
but with an external bath, or complex potential, among others.},
 article-number = {014512},
 author = {Ghatak, Ananya and Das, Tanmoy},
 doi = {10.1103/PhysRevB.97.014512},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {JAN 17},
 number = {1},
 times-cited = {16},
 title = {Theory of superconductivity with non-Hermitian and parity-time reversal
symmetric Cooper pairing symmetry},
 unique-id = {ISI:000423117300007},
 volume = {97},
 year = {2018}
}