Criticality in correlated quantum matter

Abstract

At quantum critical points (QCP) \cite{Pfeuty:1971,Young:1975,Hertz:1976,Chakravarty:1989,Millis:1993,Chubukov:1 994,Coleman:2005} there are quantum fluctuations on all length scales, from microscopic to macroscopic lengths, which, remarkably, can be observed at finite temperatures, the regime to which all experiments are necessarily confined. A fundamental question is how high in temperature can the effects of quantum criticality persist? That is, can physical observables be described in terms of universal scaling functions originating from the QCPs? Here we answer these questions by examining exact solutions of models of correlated systems and find that the temperature can be surprisingly high. As a powerful illustration of quantum criticality, we predict that the zero temperature superfluid density, ${\rho }_s(0)$, and the transition temperature, $T_c$, of the cuprates are related by $T_c\propto {\rho }_s(0{)}^y$, where the exponent $y$ is different at the two edges of the superconducting dome, signifying the respective QCPs. This relationship can be tested in high quality crystals.

Final accepted version not including minor stylistic corrections

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Cited by in corpus (78)

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• Observation of Quantum Phase Transitions with Parity-Symmetry Breaking and Hysteresis
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• Superfluid Density in a Highly Underdoped YBCO Superconductor
• Identification of symmetry-protected topological states on noisy quantum computers
• Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb${}_2$O${}_6$
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• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Measurement of the entanglement spectrum of a symmetry-protected topological state using the IBM quantum computer
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• Quantum Fidelity and Thermal Phase Transitions
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• Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions
• Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
• Competing ferromagnetism in high temperature copper oxide superconductors
• Superconductor-to-Metal Quantum Phase Transition in Overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$
• Quantum Criticality Due to Incipient Phase Separation in the Two-dimensional Hubbard Model
• Higher Order Bosonic Topological Phases in Spin Models
• Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors
• Entanglement crossover close to a quantum critical point
• Rigorous Solution of the Spin-1 Quantum Ising Model with Single-ion Anisotropy
• Quantum criticality in the two-dimensional periodic Anderson model
• Crossovers and critical scaling in the one-dimensional transverse-field Ising model
• Evidence of Two-Dimensional Quantum Critical Behavior in the Superfluid Density of Deeply Underdoped Bi2Sr2CaCu2O8+x
• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• Quantum scars and bulk coherence in a symmetry-protected topological phase
• Multi-critical topological transition at quantum criticality
• Quantum Critical Scaling for a Heisenberg Spin-$1/2$ Chain around Saturation
• Infinite number of solvable generalizations of XY-chain, with cluster state, and with central charge c=m/2
• Temperature dependent bilayer ferromagnetism in Sr3Ru2O7
• Tuning the interlayer spacing in high T_c superconductors: penetration depth and two-dimensional superfluid density
• Quenching Dynamics and Quantum Information
• Direct visualization of phase separation between superconducting and nematic domains in Co-doped CaFe2As2 close to a first order phase transition
• Exact solutions of a class of S=1 quantum Ising spin models
• Ising analogues of quantum spin chains with multispin interactions
• High-Temperature Criticality in Strongly Constrained Quantum Systems
• Exact solution of a cluster model with next-nearest-neighbor interaction
• Scaling and commensurate-incommensurate crossover for the d=2, z=2 quantum critical point of itinerant antiferromagnets
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
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• Local dynamics and thermal activation in the transverse-field Ising chain
• Entanglement at the quantum phase transition in a harmonic lattice
• Learning ground states of gapped quantum Hamiltonians with Kernel Methods
• Constructing Landau framework for topological order: Quantum chains and ladders
• Exact results for the criticality of quench dynamics in quantum Ising models
• Finite-Temperature Scaling of Magnetic Susceptibility and Geometric Phase in the XY Spin Chain
• Emergent phases in a compass chain with multisite interactions
• Fidelity susceptibility and Loschmidt echo for generic paths in a three spin interacting transverse Ising model
• Finite-temperature phase transitions in a two-dimensional boson Hubbard model
• Two-Particle-Self-Consistent Approach for the Hubbard Model
• Decoherence and relaxation of topological states in extended quantum Ising models
• Experimental consequences at high temperatures of quantum critical points
• Survival probability in a quenched Majorana chain with an impurity
• Universality of Heisenberg-Ising chain in external fields
• Crossover from charge density wave stabilized antiferromagnetism to superconductivity in Nd${}_{1-x}$La${}_x$NiC${}_2$ compounds
• ω/T scaling of the optical conductivity in strongly correlated layered cobalt oxide
• Quantum Critical Phenomena of 4He in Nanoporous Media
• Quantum critical points, lines and surfaces
• Logarithmic Upturn in Low-Temperature Electronic Transport as a Signature of d-Wave Order in Cuprate Superconductors
• Measurement-Driven Transitions between Area Law Phases
• Complete characterization of spin chains with two Ising symmetries
• From frustrated insulators to correlated anisotropic metals: charge ordering and quantum criticality in coupled chain systems
• Quantum critical fans from critical lines at zero temperature
• Exactly Solvable 1D Quantum Models with Gamma Matrices
• Hahn echo and criticality in spin-chain systems
• Quantum phase transitions and ground-state correlations in BCS-like models
• Fluctuations in a superconducting quantum critical point of multi-band metals
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• A Quantum Field Theoretical Study of Correlated Quantum Ising model with Longer Range Interaction
• Multipartite entanglement in quantum phase transitions
• Superfluid density in Bi2Sr2CaCu2O8+x from optimal doping to severe underdoping and its implications
• Analytical classification of Majorana zero-mode spatial profiles in extended Kitaev chains: probability maxima can shift inward
• Generation of concurrence in a generalized central spin model with a three-spin interacting environment
• Can a quantum critical state represent a blackbody?