Usage Effects on the Cognitive Routinization of Chinese Resultative Verbs

The present study adopts a corpus-oriented usage-based approach to the grammar of Chinese resultative verbs. Zooming in on a specific class of V-kai constructions, this paper aims to elucidate the effect of frequency in actual usage events on shaping the linguistic representations of resultative verbs. Specifically, it will be argued that while high token frequency results in more lexicalized V-kai complex verbs, high type frequency gives rise to more schematized V-kai constructions. The routinized patterns pertinent to V-kai resultative verbs varying in their extent of specificity and generality accordingly serve as a representative illustration of the continuum between lexicon and grammar that characterizes a usage-based conception of language

Analytical study of the holographic superconductor from higher derivative theory

In this paper, we analytically study the holographic superconductor models with the high derivative (HD) coupling terms. Using the Sturm-Liouville (SL) eigenvalue method, we perturbatively calculate the critical temperature. The analytical results are in good agreement with the numerical results. It confirms that the perturbative method in terms of the HD coupling parameters is available. Along the same line, we analytically calculate the value of the condensation near the critical temperature. We find that the phase transition is second order with mean field behavior, which is independent of the HD coupling parameters. Then in the low temperature limit, we also calculate the conductivity, which is qualitatively consistent with the numerical one. We find that the superconducting energy gap is proportional to the value of the condensation. But we note that since the condensation changes with the HD coupling parameters, as the function of the HD coupling parameters, the superconducting energy gap follows the same change trend as that of the condensation.Comment: 10 pages, 5 figure

Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation

We consider a holographic fermionic system in which the fermions are interacting with a U(1) gauge field in the presence of a dilaton field in a gravity bulk of a charged black hole with hyperscaling violation. Using both analytical and numerical methods, we investigate the properties of the infrared and ultaviolet Green's functions of the holographic fermionic system. Studying the spectral functions of the system, we find that as the hyperscaling violation exponent is varied, the fermionic system possesses Fermi, non-Fermi, marginal-Fermi and log-oscillating liquid phases. Various liquid phases of the fermionic system with hyperscaling violation are also generated with the variation of the fermionic mass. We also explore the properties of the flat band and the Fermi surface of the non-relativistic fermionic fixed point dual to the hyperscaling violation gravity.Comment: 19 pages, 8 figures; v2: minor clarifications, section VI added, references added; accepted for publication in JHE