Saga of Superfluid Solids

Yukalov, V. I.

doi:10.3390/physics2010006

Cited by 36 publications

(16 citation statements)

References 193 publications

(267 reference statements)

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“…To illustrate the above theory, let us consider the model of a crystalline solid with nanosize regions of disorder. As examples, we can keep in mind solids with pores and cracks [45][46][47], crystals with dislocations [16][17][18], optical lattices with regions of broken periodicity [48], crystals with amorphous inclusions [49], and quantum crystals with vacancy clusters [50][51][52][53].…”

Section: Crystal With Regions Of Disordermentioning

confidence: 99%

Statistical theory of structures with extended defects

Yukalov¹,

Yukalova²

2022

Preprint

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Many materials contain extended defects of nanosize scale, such as dislocations, cracks, pores, polymorphic inclusions, and other embryos of competing phases. When one is interested not in the precise internal structure of a sample with such defects, but in its overall properties as a whole, one needs a statistical picture giving a spatially averaged description. In this chapter, an approach is presented for a statistical description of materials with extended nanosize defects. A method is developed allowing for the reduction of the problem to the consideration of a set of system replicas representing homogeneous materials characterized by effective renormalized Hamiltonians. This is achieved by defining a procedure of averaging over heterophase configurations. The method is illustrated by a lattice model with randomly distributed regions of disorder.

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Section: Crystal With Regions Of Disordermentioning

confidence: 99%

Statistical theory of structures with extended defects

Yukalov¹,

Yukalova²

2022

Preprint

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“…There are number of review papers devoted to the phenomenon of supersolidity [27][28][29][30][31][32][33][34]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Supersolid induced by dislocations with superfluid cores (Review article)

Fil,

Shevchenko

2022

Preprint

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Dislocation model of the supersolid state of 4 He was proposed in 1987 by one of the authors of the review. The model obtained strong support by numerous experimental and theoretical investigations from 2007 to date. In these investigations the validity of the idea put forward in 1987 was confirmed, and new conceptions of superclimb of dislocations and of the giant isochoric compressibility or the syringe effect were proposed. In this paper we review main achievements of theoretical and experimental studies of dislocation-induced supersolid and present current understanding of this phenomenon.

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“…However, a set of recent experiments in ultra-cold atomic gases have actually exhibited the existence of such a counter-intuitive phase featuring antithetic properties [2][3][4][5][6]. This apparently contradictory phase of matter could yield deeper insights in understanding the superfluids and superconductors with far-reaching implications in the field of superconducting magnets and sensors, as well as efficient energy transport [7].…”

Section: Introductionmentioning

confidence: 99%

Signature of Supersolidity in a Driven Cubic-Quartic Nonlinear Schrödinger Equation

Debnath,

Tarun,

Khan

2021

Preprint

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We present analytical solution, which is periodic in nature, for a driven cubic-quartic nonlinear Schrödinger equation (DCQNLSE) placed in a bi-chromatic optical lattice. The solution indicates the creation of density wave. Since, beyond mean-field contribution in quasi one dimensional and one-dimensional geometry differs on the even exponents of the nonlinearity thus we extend our analysis towards quadratic-cubic-quartic and quadratic-cubic nonlinearities as well. Later, we study the dynamics of DCQNLSE. Our study indicates the existence of stripe phase along with considerable phase coherence. These findings allow us to comment on the possible emergence of supersolid phase in a condensate.

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Saga of Superfluid Solids

Abstract: The article presents the state of the art and reviews the literature on the long-standing problem of the possibility for a sample to be at the same time solid and superfluid. Theoretical models, numerical simulations, and experimental results are discussed.

Cited by 36 publications

References 193 publications

Statistical theory of structures with extended defects

Statistical theory of structures with extended defects

Supersolid induced by dislocations with superfluid cores (Review article)

Signature of Supersolidity in a Driven Cubic-Quartic Nonlinear Schrödinger Equation

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