Title
Critical exponents proposed for marginal Fermi liquid Critical exponents proposed for marginal Fermi liquid
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
London ,
Subject
Physics
Chemistry
Source (journal)
Physics and chemistry of liquids. - London
Volume/pages
51(2013) :2 , p. 261-264
ISSN
0031-9104
ISI
000315713800009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Iqbal, Liu and Mezei (ILM) [1] have proposed critical exponents alpha, beta and delta in terms of a quantity nu(ILM), which gives marginal Fermi liquid behaviour when nu(ILM) = 1/2. In particular, this value reproduces in the normal state of high T-c cuprates, the electrical resistivity proportional to temperature (T) over a wide range of T, as found experimentally. A consequence shown here is that Griffiths' inequality becomes an equality for all nu(ILM), while Josephson's inequality is also satisfied for all positive values of nu(ILM). The choice nu(ILM) = 1/4, on the other hand, reproduces the mean field values of alpha, beta and delta. We propose a specific relation between delta and eta for the Ising model by using the ILM family as a guideline.
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