Domain wall brane in a reduced Born-Infeld-f(T)f(T) theory

The Born-Infeld $f(T)$ theory is reduced from the Born-Infeld determinantal gravity in Weitzenb\"ock spacetime. We investigate a braneworld scenario in this theory and obtain an analytic domain wall solution by utilizing the first-order formalism. The model is stable against the linear tensor perturbation. It is shown that the massless graviton is localized on the brane, but the continuous massive gravitons are non-localized and will generate a tiny correction with the behavior of ${1}/{(k r)^{3}}$ to the Newtonian potential. The four-dimensional teleparallel gravity is recovered as an effective infrared theory on the brane. As a physical application, we consider the (quasi-)localization property of spin-1/2 Dirac fermion in this model.Comment: 9 pages, 2 figures, published versio

5-({[(E)-Benzyl­idene­amino]­oxy}meth­yl)-1,3,4-thia­diazol-2-amine

In the mol­ecule of the title compound, C10H10N4OS, the configuration about the C=N double bond is E. The dihedral angle between the thia­diazole and benzene rings is 81.1 (1)°. In the crystal, mol­ecules are linked by N—H⋯N and C—H⋯O hydrogen bonds to form a two-dimensional network parallel with the bc plane

6-(4-Fluoro­pheneth­yl)-7-imino-3-phenyl-2,3,6,7-tetra­hydro-1,3-thia­zolo[4,5-d]pyrimidine-2-thione

In the title compound, C19H15FN4S2, the mean plane of the thia­zolopyrimidine makes a dihedral angle of 77.6 (1)° with the attached phenyl ring. The crystal packing is stabilized by inter­molecular C—H⋯N hydrogen bonds and weak C—H—π stacking inter­actions

Ground state and edge excitations of quantum Hall liquid at filling factor 2/3

We present a numerical study of fractional quantum Hall liquid at Landau level filling factor $\nu=2/3$ in a microscopic model including long-range Coulomb interaction and edge confining potential, based on the disc geometry. We find the ground state is accurately described by the particle-hole conjugate of a $\nu=1/3$ Laughlin state. We also find there are two counter-propagating edge modes, and the velocity of the forward-propagating mode is larger than the backward-propagating mode. The velocities have opposite responses to the change of the background confinement potential. On the other hand changing the two-body Coulomb potential has qualitatively the same effect on the velocities; for example we find increasing layer thickness (which softens of the Coulomb interaction) reduces both the forward mode and the backward mode velocities.Comment: 12 pages, 13 figure

(E)-(2-Chloro­benzyl­idene)amino 2-amino-4-chloro­benzoate

In the title compound, C14H10Cl2N2O2, the configuration about the C=N double bond is E and the dihedral angle between the benzene rings is 1.75 (5)°. An intra­molecular N—H⋯O inter­action generates an S(6) ring. In the crystal, mol­ecules are linked by N—H⋯O hydrogen bonds, resulting in [101] chains

N-[3,5-Dichloro-4-(1,1,2,2-tetra­fluoro­eth­oxy)phen­yl]-2,6-difluoro­benzamide

In the title compound, C15H7Cl2F6NO2, the conformation of the N—H bond in the amide segment is anti to the C=O bond and the dihedral angle between the two benzene rings is 78.6 (3)°. The terminal –CHF2 group is disordered over two orientations in a 0.67:0.33 ratio. In the crystal, the mol­ecules are linked by N—H⋯O hydrogen bonds, generating C(4) chains propagating in [100]