Deconfined critical point in a doped random quantum Heisenberg magnet

2019/12/18 by Darshan G. Joshi, Chenyuan Li, Grigory Tarnopolsky +2 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Critical exponent #Critical phenomena #Critical point (mathematics) #Doping #Fermi liquid theory #Heisenberg model #Magnet #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Spin (aerodynamics) #Theoretical and Computational Physics #cond-mat.str-el #hep-th

paper · pdf · doi:10.1103/physrevx.10.021033

published as Phys. Rev. X 10, 021033 (2020) · 22+32 pages, 13 figures

openalex publication_date 2019/12/18 · openalex created_date 2019/12/26 · arxiv created 2020/02/18 · arxiv updated 2020/05/20 · openalex updated_date 2026/08/06

Abstract

We describe the phase diagram of electrons on a fully connected lattice with random hopping, subject to a random Heisenberg spin exchange interactions between any pair of sites and a constraint of no double occupancy. A perturbative renormalization group analysis yields a critical point with fractionalized excitations at a non-zero critical value p_c of the hole doping p away from the half-filled insulator. We compute the renormalization group to two loops, but some exponents are obtained to all loop order. We argue that the critical point p_c is flanked by confining phases: a disordered Fermi liquid with carrier density 1+p for p>p_c, and a metallic spin glass with carrier density p for p<p_c. Additional evidence for the critical behavior is obtained from a large M analysis of a model which extends the SU(2) spin symmetry to SU(M). We discuss the relationship of the vicinity of this deconfined quantum critical point to key aspects of cuprate phenomenology.

Citations

• Pseudogaps in thet−Jmodel: An extended dynamical mean-field theory study
• Global aspects of current algebra
• Static hole in a critical antiferromagnet: field-theoretic renormalization group
• Quantum phase transitions out of the heavy Fermi liquid
• Gapless spin-fluid ground state in a random quantum Heisenberg magnet
• Competing orders, nonlinear sigma models, and topological terms in quantum magnets
• Critical local-moment fluctuations in the Bose-Fermi Kondo model
• Quantum and Thermal Fluctuations in the SU(N) Heisenberg Spin-Glass Model near the Quantum Critical Point
• Upper critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem
• Evidence for a generic quantum transition in high-Tccuprates
• Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
• Spatial correlations in dynamical mean-field theory
• Metallic non-Fermi-liquid phases of an extended Hubbard model in infinite dimensions
• Exposing the spin-glass ground state of the nonsuperconductingLa2−xSrxCu1−yZnyO4high-Tcoxide
• Pseudogaps in an Incoherent Metal
• Deconfined Quantum Critical Points
• Comments on the Sachdev-Ye-Kitaev model
• Spin-freezing and the Sachdev-Ye model
• Notes on the complex Sachdev-Ye-Kitaev model

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• Anomalous density fluctuations in a random t-J model