TITLE:
Tomonaga-Luttinger Unusual Exponents around Fermi Points in the One-Dimensional Hubbard Model
AUTHORS:
Nelson O. Nenuwe, John O. A. Idiodi
KEYWORDS:
Correlation Functions, Magnetic Field, Unusual Exponents
JOURNAL NAME:
World Journal of Condensed Matter Physics,
Vol.5 No.2,
May
29,
2015
ABSTRACT: We study the correlation functions of one-dimensional Hubbard model in
the presence of external magnetic field through the conformal field method. The
long distance behaviour of the correlation functions and their unusual
exponents for the model in the presence of a magnetic field are developed by
solving the dressed charge matrix equations and setting the number of
occupancies to one, as alternative to the usual zero used
by authors in literatures. This work shows that the exponent of the correlation
functions is a monotonous function of magnetic field and the correlation
functions decay as powers of these unusual exponents. As the magnetic field
goes to zero, we obtain the exponents as 8.125, 11.125, 17.125, 26.125 and 38.125
at kF, 3kF, 5kF, 7kF and 9kF. Our
analytical results will provide insights into criticality in condensed matter
physics.