6,839 research outputs found
Topological Band Theory for Non-Hermitian Hamiltonians
We develop the topological band theory for systems described by non-Hermitian
Hamiltonians, whose energy spectra are generally complex. After generalizing
the notion of gapped band structures to the non-Hermitian case, we classify
"gapped" bands in one and two dimensions by explicitly finding their
topological invariants. We find nontrivial generalizations of the Chern number
in two dimensions, and a new classification in one dimension, whose topology is
determined by the energy dispersion rather than the energy eigenstates. We then
study the bulk-edge correspondence and the topological phase transition in two
dimensions. Different from the Hermitian case, the transition generically
involves an extended intermediate phase with complex-energy band degeneracies
at isolated "exceptional points" in momentum space. We also systematically
classify all types of band degeneracies.Comment: 6 pages, 3 figures + 6 pages of supplemental materia
Coil-to-globule transition by dissipative particle dynamics simulation
The dynamics of a collapsing polymer under a temperature quench in dilute solution is investigated by dissipative particles dynamics. Hydrodynamic interactions and many-body interaction are preserved naturally by incorporating explicit solvent particles in this approach. Our simulation suggests a four-stage collapse pathway: localized clusters formation, cluster coarsening in situ, coarsening involving global backbone conformation change into a crumpled globule, and compaction of the globule. For all the quench depths and chain lengths used in our study, collapse proceeds without the chain getting trapped in a metastable “sausage” configuration, as reported in some earlier studies. We obtain the time scales for each of the first three stages, as well as its scaling with the quench depths ξ and chain lengths N. The total collapse time scales as τ_c ~ ξ^(−0.46 ± 0.04)N^(0.98 ± 0.09), with the quench depth and degree of polymerization
Scars in Dirac fermion systems: the influence of an Aharonov--Bohm flux
Time-reversal (-) symmetry is fundamental to many physical
processes. Typically, -breaking for microscopic processes requires
the presence of magnetic field. However, for 2D massless Dirac billiards,
-symmetry is broken automatically by the mass confinement, leading
to chiral quantum scars. In this paper, we investigate the mechanism of
-breaking by analyzing the local current of the scarring
eigenstates and their magnetic response to an Aharonov--Bohm flux. Our results
unveil the complete understanding of the subtle -breaking
phenomena from both the semiclassical formula of chiral scars and the
microscopic current and spin reflection at the boundaries, leading to a
controlling scheme to change the chirality of the relativistic quantum scars.
Our findings not only have significant implications on the transport behavior
and spin textures of the relativistic pseudoparticles, but also add basic
knowledge to relativistic quantum chaos.Comment: 37 pages, 11 figure
Chiral phase transition and meson spectrum in improved soft-wall AdS/QCD
We investigate in detail the chiral thermal transition of QCD in an improved
soft-wall AdS/QCD model with a simply modified 5D conformal mass of the bulk
scalar field. We also present a calculation in this model for the light meson
spectra and other low-energy characteristic quantities including the pion form
factor, the pi-rho coupling constant and the decay constants of pi, rho, a_1,
which are shown to result in a good agreement with experimental data except for
the pion decay constant. The thermal behavior of chiral condensate is studied.
It is found that such a simply improved soft-wall model incorporates the
crossover behavior of chiral thermal transition indicated by lattice
simulations. The expected chiral transition temperature can be obtained
- …