Transverse Quantum Superfluids

Abstract

Even when ideal solids are insulating, their states with crystallographic defects may have superfluid properties. It became clear recently that edge dislocations in ${}^4$He featuring a combination of microscopic quantum roughness and superfluidity of their cores may represent a new paradigmatic class of quasi-one-dimensional superfluids. The new state of matter, termed transverse quantum fluid (TQF), is found in a variety of physical setups. The key ingredient defining the class of TQF systems is infinite compressibility, which is responsible for all other unusual properties such as the quadratic spectrum (or even the absence) of normal modes, irrelevance of the Landau criterion, off-diagonal long-range order at $T=0$, and the exponential dependence of the phase slip probability on the inverse flow velocity. From a conceptual point of view, the TQF state is a striking demonstration of the conditional character of many dogmas associated with superfluidity, including the necessity of elementary excitations, in general, and the ones obeying Landau criterion in particular.

Review for Annu. Rev. Condens. Matter Phys

References in corpus (15)

• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
• Luttinger Liquid in the Core of Screw Dislocation in Helium-4
• Ring exchanges and the supersolid phase of 4He
• Observation of Unusual Mass Transport in Solid hcp 4He
• The fate of vacancy-induced supersolidity in 4He
• Helium-4 Luttinger liquids in nanopores
• Binding of a 3He impurity to a screw dislocation in solid 4He
• Quantum Plasticity and Supersolid Response in Helium-4
• Zero-point vacancies in quantum solids
• Universal Correlations as Fingerprints of Transverse Quantum Fluids
• Superfluid-Insulator and Roughening Transitions in Domain Walls
• Zero-temperature study of vacancies in solid 4He
• Superclimbing modes in transverse quantum fluids: signature statistical and dynamical features
• Autonomous dynamics of two-dimensional insulating domain with superclimbing edges

Cited by in corpus (2)

• On the Novel Superfluidity in the Second Layer of ${}^4$He on Graphite
• Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter