2012/08/28 by Ki-Seok Kim, Ki‐Seok Kim, Kim, Ki-Seok
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Iron-based superconductors research #Physics of Superconductivity and Magnetism #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.1208.5549
arxiv created 2012/08/28 · openalex publication_date 2012/08/28 · arxiv updated 2012/08/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Hertz-Moriya-Millis theory with dynamical critical exponent z = 2 has been proposed to describe antiferromagnetic quantum criticality in itinerant electron systems. In this study we show that the dynamical critical exponent changes from z = 2 to z = 3 at low temperatures, which results from effective long-range interactions between spin fluctuations, generated by Fermi-surface fluctuations beyond the Eliashberg framework. We claim that the underlying physics for the z = 3 antiferromagnetic quantum criticality is the emergence of fermionized skyrmion excitations at low energies, which form a Fermi surface, referred as a skyrmion liquid, where the interplay between itinerant electrons and skyrmions is argued to allow fermionized skyrmions. We construct a dual field theory in terms of skyrmion excitations, and obtain the z = 3 antiferromagnetic quantum criticality. This demonstration suggests the expected but nontrivial consistency between weak-coupling and strong-coupling theories.