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Unconventional non-Fermi liquid state caused by nematic criticality in cuprates

2016/07/12 by Jing-Rong Wang, Guo-Zhu Liu, Changjin Zhang +1
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Fermi liquid theory #Fermi surface #Fermion #Liquid crystal #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum oscillations #Quantum phase transition #Quasiparticle #Renormalization #Renormalization group #Superconductivity #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1088/1367-2630/18/7/073023

published as New J. Phys. 18, 073023 (2016) · 29 pages, 6 figures

openalex publication_date 2016/07/12 · arxiv created 2016/07/13 · arxiv updated 2016/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

At the nematic quantum critical point that exists in the -wave superconducting dome of cuprates, the massless nodal fermions interact strongly with the quantum critical fluctuation of nematic order. We study this problem by means of the renormalization group approach and show that, the fermion damping rate vanishes more rapidly than the energy ω and the quasiparticle residue in the limit . The nodal fermions thus constitute an unconventional non-Fermi liquid that represents an even weaker violation of Fermi liquid theory than a marginal Fermi liquid. We also investigate the interplay of quantum nematic critical fluctuation and gauge-potential-like disorder, and find that the effective disorder strength flows to the strong coupling regime at low energies. Therefore, even an arbitrarily weak disorder can drive the system to become a disorder controlled diffusive state. Based on these theoretical results, we are able to understand a number of interesting experimental facts observed in curpate superconductors.

Citations