On the Condensed Matter Analog of Baryon Chiral Perturbation Theory
Abstract
It is shown that baryon chiral perturbation theory, i.e., the lowenergy effective theory for pions and nucleons in quantum chromodynamics, has its condensed matter analog: A lowenergy effective theory describing magnons as well as holes (or electrons) doped into antiferromagnets. We briefly present a symmetry analysis of the Hubbard and tJtype models, and review the construction of the leading terms in the effective Lagrangian. As a nontrivial application we study different phases of hole and electrondoped antiferromagnets—in particular, we investigate whether a socalled spiral phase with an inhomogeneous staggered magnetization (order parameter) may be stable. We would like to emphasize that the effective theory is universal and makes modelindependent predictions for a large class of systems, whereas the materialspecific properties enter the effective theory only through the numerical values of a few lowenergy parameters.
 Publication:

Particles and Fields
 Pub Date:
 April 2009
 DOI:
 10.1063/1.3131574
 Bibcode:
 2009AIPC.1116..356B
 Keywords:

 11.30.Rd;
 12.38.t;
 74.25.Ld;
 74.20.z;
 11.10.z;
 75.30.Ds;
 Chiral symmetries;
 Quantum chromodynamics;
 Mechanical and acoustical properties elasticity and ultrasonic attenuation;
 Theories and models of superconducting state;
 Field theory;
 Spin waves