Speculations on Bose-Einstein Condensation and Quantum Crystals

Chester, G. V.

doi:10.1103/physreva.2.256

Cited by 592 publications

(751 citation statements)

References 4 publications

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“…The existence of an exotic supersolid crystalline phase with combined solid and superfluid characteristics has been long conjectured 16,17,18 for solid 4 He under appropriate conditions. The recent experimental discovery 19 that solid 4 He exhibits a nonclassical (nonrigid) rotational inertia (NCRI 18 ) has revived an intense interest 20,21,22,23,24 in the existence and properties of the supersolid phase in this system, as well as in the possible emergence of exotic phases in other systems.…”

Section: B Nonclassical (Non-rigid) Rotational Inertiamentioning

confidence: 99%

“…In the context of the appearance of supersolid behavior of 4 He under appropriate conditions, formation of a supersolid fraction is often discussed in conjunction with the presence of (i) real defects and (ii) real vacancies. 16,17 Our REM wave function [Eq. 2] belongs to a third possibility, namely to virtual defects and vacancies, with the number of particles equal to the number of lattice sites (in the context of 4 He, the possibility of a supersolid with equal number of particles and lattice sites is mentioned in Ref.…”

Section: Lmmentioning

confidence: 99%

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From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

Yannouleas

Landman

2006

Phys. Rev. B

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Using the method of breaking of circular symmetry and of subsequent symmetry restoration via projection techiques, we present calculations for the ground-state energies and excitation spectra of N -electron parabolic quantum dots in strong magnetic fields in the medium-size range 10 ≤ N ≤ 30. The physical picture suggested by our calculations is that of finite rotating electron molecules (REMs) comprising multiple rings, with the rings rotating independently of each other. An analytic expression for the energetics of such non-rigid multi-ring REMs is derived; it is applicable to arbitrary sizes given the corresponding equilibrium configuration of classical point charges. We show that the rotating electron molecules have a non-rigid (non-classical) rotational inertia exhibiting simultaneous crystalline correlations and liquid-like (non-rigidity) characteristics. This mixed phase appears in high magnetic fields and contrasts with the picture of a classical rigid Wigner crystal in the lowest Landau level.

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Section: B Nonclassical (Non-rigid) Rotational Inertiamentioning

confidence: 99%

Section: Lmmentioning

confidence: 99%

From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

Yannouleas

Landman

2006

Phys. Rev. B

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“…This shift was interpreted as due to mass decoupling from the oscillator and it was suggested that this was likely evidence for a supersolid phase of solid 4 He that was first predicted many years earlier [4][5][6][7]. This interpretation of the presence of non-classical rotational inertia (NCRI) continues to be controversial, but has spawned considerable experimental and theoretical activity [8].…”

mentioning

confidence: 99%

Observation of thermomechanical equilibration in the presence of a solidH4econduit

Ray

Hallock

2010

Phys. Rev. B

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We observe a thermo-mechanical effect when a chemical potential difference is created by a temperature difference imposed between two liquid reservoirs connected to each other through Vycor rods in series with solid hcp 4 He. By creating a temperature difference, ∆T , between the two reservoirs, we induce a rate-limited growth of a pressure difference between the two reservoirs, ∆P . In equilibrium ∆P vs.∆T is in quantitative agreement with the thermo-mechanical effect in superfluid helium. These observations confirm that below ∼ 600 mK a flux-limited flow exists through the solid helium.

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“…The above conclusions were based on the assumption of a positive coupling constant d in Eq. (2). Formally, for negative d, our conclusions would have been inverted-an expansion would enhance the local supersolid transition while a contraction would reduce the supersolid transition temperature.…”

Section: Discussionmentioning

confidence: 99%

Influence of elastic deformations on the supersolid transition

et al. 2011

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We study within the Ginzburg-Landau (GL) theory of phase transitions how elastic deformations in a supersolid lead to local changes in the supersolid transition temperature. The GL theory is mapped onto a Schrödinger-type equation with an effective potential that depends on local dilatory strain. The effective potential is attractive for local contraction and repulsive for local expansion. Different types of elastic deformations are studied. We find that a contraction (expansion) of the medium that may be brought about by either externally applied or internal strain leads to a higher (lower) transition temperature as compared to the unstrained medium. In addition, we investigate edge dislocations and illustrate that the local transition temperature may be increased in the immediate vicinity of the dislocation core. Our analysis is not limited to supersolidity. Similar strain effects should also play a role in superconductors.

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Speculations on Bose-Einstein Condensation and Quantum Crystals

Cited by 592 publications

References 4 publications

From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

Observation of thermomechanical equilibration in the presence of a solidH4econduit

Influence of elastic deformations on the supersolid transition

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