Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes

Abstract

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve transitions with a topological order parameter associated with dislocations in collinear spin density wave ("stripe") correlations: the gapping of the order parameter fluctuations leads to a fractionalization of spin and charge collective modes, and this transition has been proposed as a candidate for the cuprates near optimal doping. The coupling between the order parameter and long-wavelength volume and shape deformations of the Fermi surface is analyzed by the renormalization group, and a runaway flow to a non-perturbative regime is found in most cases. A phenomenological scaling analysis of simple observable properties of possible second order quantum critical points is presented, with results quite similar to those near quantum spin glass transitions and to phenomenological forms proposed by Schroeder et al. (cond-mat/0011002).

16 pages, 4 figures; (v2) additional clarifying remarks

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Cited by in corpus (31)

• Order and quantum phase transitions in the cuprate superconductors
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Theory of a continuous Mott transition in two dimensions
• Orthogonal Metals: The simplest non-Fermi liquids
• Confinement transition of ${\mathbb{Z}}_2$ gauge theories coupled to massless fermions: emergent QCD${}_3$ and $SO(5)$ symmetry
• Fluctuating spin density waves in metals
• Gauge theory for the cuprates near optimal doping
• Locally critical point in an anisotropic Kondo lattice
• Symmetry enforced fractonicity and $2d$ quantum crystal melting
• Destruction of Neel order in the cuprates by electron-doping
• Quantum phase transition from an antiferromagnet to a spin liquid in a metal
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
• A quantum electron star
• Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach
• Spin density wave order, topological order, and Fermi surface reconstruction
• Stripe melting and quantum criticality in correlated metals
• Fermi-surface reconstruction without symmetry breaking
• Confinement transition to density wave order in metallic doped spin liquids
• Theory of a continuous stripe melting transition in a two dimensional metal: Possible application to cuprates
• Spin and pair density wave glasses
• Soluble limit and criticality of fermions in Z2 gauge theories
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Superfluid-Insulator Transition and Fermion Pairing in Bose-Fermi Mixtures
• Exciton condensations in thin film topological insulator
• Local quantum critical point and non-Fermi liquid properties
• Mott criticality and pseudogap in Bose-Fermi mixtures
• Bilocal quantum criticality
• Boundary quantum criticality in models of magnetic impurities coupled to bosonic baths
• Strange metal and Fermi arcs from disordering spin stripes