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Entropic Order
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Ordered phases of matter, such as solids, ferromagnets, superfluids, or quantum topological order, typically only exist at low temperatures. Despite this conventional wisdom, we present explicit local models in which all such phases persist to arbitrarily high temperature. This is possible since order in one degree of freedom can enable other degrees of freedom to strongly fluctuate, leading to "entropic order", whereby typical high energy states are ordered. Our construction, which utilizes interacting bosons, avoids existing no-go theorems on long-range order or entanglement at high temperature. We propose a simple model for high-temperature superconductivity using these general principles.
Forward citations
Cited by 5 Pith papers
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Proof of entropic order in Generalized Ising Models
Rigorous proof establishes entropic order in generalized Ising models for p ≥ 1 and demonstrates they solve the NP-hard maximum independent set problem, leading to entropic glass phases.
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Infinite-temperature quantum phases and phase transitions
A sign-free quantum Monte Carlo study shows hard-core bosons coupled to entropy-absorbing bond bosons can stay condensed at infinite temperature in 3D, while 2D bond fluctuations destroy superfluidity.
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The analytic bootstrap at finite temperature
Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.
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Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models
New analytic constructions yield quantum lattice models with continuous symmetry breaking and chiral topological order at arbitrarily high temperatures via entropic stabilization.
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Spontaneous Space-Time Parity Breaking Without Thermal Restoration
A 2+1 dimensional QFT is constructed whose parity symmetry is unbroken at zero temperature but spontaneously breaks at all sufficiently high temperatures.
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