Turning a First Order Quantum Phase Transition Continuous by Fluctuations: General Flow Equations and Application to d-Wave Pomeranchuk Instability

Abstract

We derive renormalization group equations which allow us to treat order parameter fluctuations near quantum phase transitions in cases where an expansion in powers of the order parameter is not possible. As a prototypical application, we analyze the nematic transition driven by a d-wave Pomeranchuk instability in a two-dimensional electron system. We find that order parameter fluctuations suppress the first order character of the nematic transition obtained at low temperatures in mean-field theory, so that a continuous transition leading to quantum criticality can emerge.

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Cited by in corpus (31)

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• Mean-Field Analysis of Intra-Unit-Cell Order in the Emery Model of the CuO${}_2$ Plane
• Fermion-induced quantum criticality in two-dimensional Dirac semimetals: Non-perturbative flow equations, fixed points and critical exponents
• Incommensurate nematic fluctuations in two dimensional metals
• Stability of Quantum Critical Points in the Presence of Competing Orders
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• Phenomenology of a First Order Dark State Phase Transition
• Interplay of Pomeranchuk instability and superconductivity in the two-dimensional repulsive Hubbard model
• Fluctuations of imbalanced fermionic superfluids in two dimensions induce continuous quantum phase transitions and non-Fermi liquid behavior
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• Nematic Quantum Criticality Without Order
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• Critical Casimir forces for O(N) models from functional renormalization
• Critical phenomena at the complex tensor ordering phase transition
• Transport signatures of spatially modulated electronic nematic phases
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Effective potential and quantum criticality for imbalanced Fermi mixtures
• Fermion-induced quantum critical point in the Landau-Devonshire model
• Electronic nematic phase transition in the presence of anisotropy
• Fermion-induced Dynamical Critical Point
• Pomeranchuk instabilities in multicomponent lattice systems at finite Temperature
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Fermi surface instabilities at finite Temperature
• Reentrant behaviour in Landau Fermi liquids with spin-split Pomeranchuk instabilities
• Orbital isotropy of magnetic fluctuations in correlated electron materials induced by Hund's exchange coupling
• Thermal and Quantum Phase Transitions of the ${\varphi }^4$ Model
• Generalized susceptibilities and Landau parameters for anisotropic Fermi liquids