2014/11/30 by Jun‐Won Rhim, Jun-Won Rhim, Yong Baek Kim · 14 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Aperiodic graph #Condensed matter physics #Electron #Fermi surface #Landau quantization #Luttinger liquid #Mathematics #Phase (matter) #Physics #Pyrochlore #Quadratic equation #Quantum #Quantum many-body systems #Quantum mechanics #Quantum oscillations #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.91.115124
published in Physical Review B 91(11) (American Physical Society)
arxiv created 2015/03/12 · openalex publication_date 2015/03/12 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by recent experiments on Pr2Ir2O7, we provide a theory of quantum oscillations in the Luttinger model with quadratic band touching, modeled for the spin-orbit-coupled conduction electrons in pyrochlore iridates. The magneto- and Hall resistivities are computed for electron- and hole-doped systems, and the corresponding Shubnikov--de Haas (SdH) signals are investigated. The SdH signals are characterized by aperiodic behaviors that originate from the unconventional Landau level structures of the Luttinger model near the neutrality point, such as inter-Landau-level crossing, nonuniform Landau level spacings, and nonparabolic dispersions along the applied magnetic-field direction. The aperiodic SdH signals observed in the paramagnetic state of Pr2Ir2O7 are shown to be consistent with such behaviors, justifying the use of the Luttinger model and the quadratic band touching spectrum as excellent starting points for physics of pyrochlore iridates. The implications of these results are discussed in light of recent theoretical and experimental developments in these systems.