Unitarity versus Renormalizability of Higher Derivative Gravity in 3D

It has been suggested that new massive gravity with higher order terms in the curvature may be renormalizable and thus a candidate for renormalizable quantum gravity. We show that three-dimensional gravity that contains quadratic scalar curvature and Ricci tensor is renormalizable, but those theories with special relation between their coefficients including new massive gravity are not.Comment: 9 pages. v2: title changed, minor modification. v3: minor corrections to match the published versio

Thermopower analysis of metal-insulator transition temperature modulations in vanadium dioxide thin films with lattice distortion

Insulator-to-metal (MI) phase transition in vanadium dioxide (VO2) thin films with controlled lattice distortion was investigated by thermopower measurements. VO2 epitaxial films with different crystallographic orientations, grown on (0001) alpha-Al2O3, (11-20) alpha-Al2O3, and (001) TiO2 substrates, showed significant decrease of absolute value of Seebeck coefficient (S) from ~200 to 23 microV K-1, along with a sharp drop in electrical resistivity (rho), due to the transition from an insulator to a metal. The MI transition temperatures observed both in rho (Trho) and S (TS) for the VO2 films systematically decrease with lattice shrinkage in the pseudo-rutile structure along c-axis, accompanying a broadening of the MI transition temperature width. Moreover, the onset TS, where the insulating phase starts to become metallic, is much lower than onset Trho. This difference is attributed to the sensitivity of S for the detection of hidden metallic domains in the majority insulating phase, which cannot be detected in rho-measurements. Consequently, S-measurements provide a straightforward and excellent approach for a deeper understanding of the MI transition process in VO2.Comment: To be published in Physical Review

Thermopower analysis of the electronic structure around metal-insulator transition in V1-xWxO2

Electronic structure across the metal-insulator (MI) transition of electron-doped V1-xWxO2 epitaxial films (x = 0-0.06) grown on alfa-Al2O3 substrates was studied by means of thermopower (S) measurements. Significant increase of |S|-values accompanied by MI transition was observed, and the transition temperatures of S (TS) decreased with x in good linear relation with MI transition temperatures. |S| values of V1-xWxO2 films at T > TS were constant at low values of 23 microV K-1 independently of x, which reflects a metallic electronic structure, whereas, those at T < TS almost linearly decreased with logarithmic W-concentrations. The gradient of -213 microV K-1 agrees well with -kB/e*ln10 (-198 microV K-1), suggesting that V1-xWxO2 films have insulating electronic structures with a parabolic density of state around the conduction band bottom.Comment: Accepted for publication as a Rapid Commun. in Phys. Rev.