Fractionalization and Fermi surface volume in heavy fermion compounds: the case of YbRh$_2$ Si$_2$

Details Fractionalization and Fermi surface volume in heavy fermion compounds: the case of YbRh$_2$ Si$_2$ Fractionalization and Fermi surface volume in heavy fermion compounds: the case of YbRh$_2$ Si$_2$

2004-07-07

arxiv.org/abs/cond-mat/0407155v1

Phys. Rev. Letters 94, 066402 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.94.066402

We establish an effective theory for heavy fermion compounds close to a zero temperature Anti-Ferromagnetic (AF) transition. Coming from the heavy Fermi liquid phase across to the AF phase, the heavy electron fractionalizes into a light electron, a bosonic spinon and a {\it new} excitation: a spinless fermionic field. Assuming this field acquires dynamics and dispersion when one integrates out the high energy degrees of freedom, we give a scenario for the volume of its Fermi surface through the phase diagram. We apply our theory to the special case of YbRh$_2$(Si$_{1-x}$ Ge$_x$)$_2$ where we recover, within experimental resolution, several low temperature exponents for transport and thermodynamics.

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