z = 3 antiferromagnetic quantum critical point : U(1) slavefermion theory of Anderson lattice model
Abstract
We find the dynamical exponent $z = 3$ antiferromagnetic (AF) quantum critical point (QCP) in the heavy fermion quantum transition beyond the standard framework of the HertzMoriyaMillis theory with $z = 2$. Based on the U(1) slavefermion representation of the Anderson lattice model, we show the continuous transition from an antiferromagnetic metal to a heavy fermion Fermi liquid, where the heavy fermion phase consists of two fluids, differentiated from the slaveboson theory. Thermodynamics and transport of the $z = 3$ AF QCP are shown to be consistent with the well known nonFermi liquid physics such as the divergent Grüneisen ratio with an exponent 2/3 and temperaturelinear resistivity. In particular, the uniform spin susceptibility turns out to diverge with an exponent 2/3, the hallmark of the $z = 3$ AF QCP described by deconfined bosonic spinons.
 Publication:

arXiv eprints
 Pub Date:
 June 2009
 arXiv:
 arXiv:0906.0834
 Bibcode:
 2009arXiv0906.0834K
 Keywords:

 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 Phys. Rev. Lett. 104, 156403 (2010)