Nematic Quantum Criticality Without Order

Abstract

We consider a two-dimensional interacting Fermi system which displays a nematic phase within mean-field theory. The system is analyzed using a non-perturbative renormalization-group scheme. We find that order-parameter fluctuations can suppress the nematic order obtained in mean-field theory even at zero temperature. For a suitable choice of parameters a quantum critical point surrounded by a disordered phase can be realized, giving rise to quantum critical behavior in the absence of an ordered regime in the phase diagram.

8 pages, 3 figures

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Cited by in corpus (15)

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• Fluctuations of imbalanced fermionic superfluids in two dimensions induce continuous quantum phase transitions and non-Fermi liquid behavior
• Finite temperature scaling close to Ising-nematic quantum critical points in two-dimensional metals
• Quantum criticality of the imperfect Bose gas in d dimensions
• Critical Casimir forces for O(N) models from functional renormalization
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Effective potential and quantum criticality for imbalanced Fermi mixtures
• Electronic nematic phase transition in the presence of anisotropy
• $d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\kappa$-(BEDT-TTF)${}_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Probing three-state Potts nematic fluctuations by ultrasound attenuation
• Compatible Instability: Gauge Constraints of Elasticity Inherited by Electronic Nematic Criticality