Quantum Order-by-Disorder in Strongly Correlated Metals

Abstract

Entropic forces in classical many-body systems, e.g. colloidal suspensions, can lead to the formation of new phases. Quantum fluctuations can have similar effects: spin fluctuations drive the superfluidity of Helium-3 and a similar mechanism operating in metals can give rise to superconductivity. It is conventional to discuss the latter in terms of the forces induced by the quantum fluctuations. However, focusing directly upon the free energy provides a useful alternative perspective in the classical case and can also be applied to study quantum fluctuations. Villain first developed this approach for insulating magnets and coined the term order-by-disorder to describe the observed effect. We discuss the application of this idea to metallic systems, recent progress made in doing so, and the broader prospects for the future.

Submitted to Annual Review of Condensed Matter Physics. 14 pages 6 figures

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• Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations
• Altermagnetic splitting of magnons in hematite ($\alpha$-Fe${}_2$O${}_3$)
• Cluster mean field study of the Heisenberg model for CuInVO${}_5$
• Flat band magnetism and helical magnetic order in Ni-doped SrCo${}_2$As${}_2$
• Mechanism for transitions between ferromagnetic and antiferromagnetic orders in $d$-electron metallic magnets
• Magnetic fragmentation and fractionalized Goldstone modes in a bilayer quantum spin liquid
• The dynamical exponent of a quantum critical itinerant ferromagnet: a Monte Carlo study
• Quantum order-by-disorder induced phase transition in Rydberg ladders with staggered detuning
• A theory of criticality for quantum ferroelectric metals
• Synergetic ferroelectricity and superconductivity in zero-density Dirac semimetals near quantum criticality
• Thermally-induced magnetic order from glassiness in elemental neodymium
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Hidden Charge Order of Interacting Dirac Fermions on the Honeycomb Lattice
• Orbital order in a bosonic $p$-band triangular lattice
• Evidence of random spin-singlet state in a three-dimensional quantum spin liquid candidate Sr${}_3$CuNb${}_2$O${}_9$
• Field Induced Modulated State in the Ferromagnet PrPtAl
• Quantum order by disorder in Frustrated Spin Nanotubes
• Disorder-enhanced effective masses and deviations from Matthiessen's rule in PdCoO${}_2$ thin films
• Simulating the Palmer-Chalker state in an orbital superfluid
• Structural and magnetic properties of CoTeMoO${}_6$ revisited
• Magnetic order and fluctuations in quasi-two-dimensional planar magnet Sr(Co${}_{1-x}$Ni${}_x$)${}_2$As${}_2$
• Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models
• Codimension-Two Spiral Spin-Liquid in the Effective Honeycomb-Lattice Compound Cs${}_3$Fe${}_2$Cl${}_9$