High-Temperature Criticality in Strongly Constrained Quantum Systems

Abstract

The exotic nature of many strongly correlated materials at reasonably high temperatures, for instance cuprate superconductors in their normal state, has lead to the suggestion that such behavior occurs within a quantum critical region where the physics is controlled by the influence of a phase transition down at zero temperature. Such a scenario can be thought of as a bottom-up approach, with the zero temperature mechanisms finding a way to manifest critical behavior at high temperatures. Here we propose an alternative, top-down, mechanism by which strong kinematic constraints that can only be broken at extremely high temperatures are responsible for critical behavior at intermediate but still high temperatures. This critical behavior may extend all the way down to zero temperature, but this outcome is not one of necessity, and the system may order at low temperatures. We provide explicit examples of such high-temperature criticality when additional strong interactions are introduced in quantum Heisenberg, transverse field Ising, and some bosonic lattice models.

(16 pages, 12 figures)

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Cited by in corpus (12)

• Classical dimers with aligning interactions on the square lattice
• Coulomb gas transitions in three-dimensional classical dimer models
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• High-dimensional fractionalization and spinon deconfinement in pyrochlore antiferromagnets
• Dynamics at and near conformal quantum critical points
• Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system
• Confinement of monopoles and scaling theory near unconventional critical points
• Criticality of a classical dimer model on the triangular lattice
• Quantum Vertex Model for Reversible Classical Computing
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
• Color-dependent interactions in the three coloring model
• Classical fully-packed loop model with attractive interactions on the square lattice