Strange metal in paramagnetic heavy-fermion Kondo lattice: Dynamical large-N fermionic multi-channel approach

The mechanism of strange metal (SM) with unconventional charge transport near magnetic phase transitions has become an outstanding open problem in correlated electron systems. Recently, an exotic quantum critical SM phase was observed in paramagnetic frustrated heavy-fermion materials near Kondo breakdown. We establish a controlled theoretical framework to this issue via a dynamical large-N fermionic multichannel approach to the two-dimensional Kondo-Heisenberg lattice model, where KB transition separates a heavy-Fermi liquid from fermionic spin-liquid state. With Kondo fluctuations being fully considered, we find a distinct SM behavior with quasi-linear-in-temperature scattering rate associated with KB. When particle-hole symmetry is present, signatures of a critical spin-liquid SM phase as $T \rightarrow 0$ are revealed with $\omega/T$ scaling extended to a wide range. We attribute these features to the interplay of critical bosonic charge (Kondo) fluctuations and gapless fermionic spinons. The implications of our results for the experiments are discussed.Comment: 6 pages, 4 figure

Insider patent holder licensing in an oligopoly market with different cost structures: Fixed-fee, royalty, and auction

The issue of the optimal licensing contract in firms having different cost structures is studied when the innovator is a producing patent holder who has three alternative licensing strategies, namely, the fixed-fee, royalty rate, and auction strategies. We conclude that the auction licensing strategy is not the best strategy when the innovator is a producing patent holder. This finding differs from that of Kabiraj (2004) where the auction licensing method is the optimal licensing strategy when the innovator is a non-producing patent holder. However, when we only compare two of the licensing methods, namely, the fixed-fee licensing method and the royalty licensing method, we conclude that if the inside innovator licenses to only some of the firms, then the royalty licensing method will be the best strategy. This result is different from that of Fosfuri and Roca (2004), who concluded that if only some of the licensees obtain a licensing contract, then the fixed-fee licensing method will be the best choice for a producing patent holder.Licensing strategy, Cost structure, Auction

Hierarchical Linear Modeling to Explore the Influence of Satisfaction with Public Facilities on Housing Prices

This paper uses hierarchical linear modeling (HLM) to explore the influence of satisfaction with public facilities on both individual residential and overall (or regional) levels on housing prices. The empirical results indicate that the average housing prices between local cities and counties exhibit significant variance. At the macro level, the explanatory power of the variable ¡§convenience of life¡¨ on the average housing prices of all counties and cities reaches the 5% significance level. The influence of the satisfaction with convenience of life in different counties and cities on housing prices exhibits significant variances.Hierarchical linear modeling; Satisfaction with public facilities; Contextual effects; Housing price.

On an origin of numerical diffusion: Violation of invariance under space-time inversion

The invariant properties of the convection equation du/dt + adu/dx = 0 (where d is the partial differential operator) with respect to spatial reflection, time reversal, and space-time inversion are studied. Generally, a finite-difference analog of this equation may possess some or none of these properties. It is shown that, under certain conditions, the von Neumann amplification factor of an analog satisfies a special relation for each invariant property this analog possesses. Particularly, an analog is neutrally stable and thus free of numerical diffusion if it possesses the invariant property related to space-time inversion. It is also explained why generally (1) an upwind scheme possesses neither the invariant property related to spatial reflection nor that related to space-time inversion, and (2) an explicit scheme possesses neither the invariant property related to time reversal nor that related to space-time inversion. Extension to the viscous case and a remarkable connection between the current work and a new numerical framework for solving conservation laws are also discussed