Phase transition between condensed homogeneous and periodic systems

Coniglio, Antonio; Marinaro, M.; Preziosi, B.

doi:10.1007/bf02711694

Cited by 4 publications

(5 citation statements)

References 10 publications

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“…It is noted in books [54,55] that, at the compression of a gas at a temperature T < T 3 , the metastable liquid is sometimes formed and then crystallizes. These properties are evidence of the validity of the inequality E c 0 (P ) < E l 0 (P ) (21). However, our analysis shows that, for some substances, the inequality E c 0 (P ) > E l 0 (P ) (20) should hold.…”

Section: Physical Consequencesmentioning

confidence: 55%

“…Our analysis shows that the genuine ground state of a Bose system should correspond to a liquid or gas. 1 In this case, the lowest states of a liquid and a crystal must satisfy the inequality E c 0 (P ) > E l 0 (P ) (20) or E c 0 (P ) < E l 0 (P ) (21). If inequality ( 21) holds, the stable state of the system at T → 0 is a crystal, that corresponds to the available experimental data.…”

Section: Discussionmentioning

confidence: 95%

“…We note that the solutions for a crystal that are characterized by a condensate of atoms with quasimomentum k = 0 were considered previously [18,19,21,22,23,24]. However, it was assumed in those works that, in addition to such "coherent crystal" [22,23], there exists the "ordinary crystal" with nodeless ground-state WF and without a condensate.…”

Section: Mathematical Substantiationmentioning

confidence: 99%

“…This solution is of the wave type and is characterized by a condensate with WF Ψ c (r) ≃ e −θ(r) . The crystal-like solutions with a condensate were considered in other approaches as well [18,19,20,21,22,23,24].…”

Section: Mathematical Substantiationmentioning

confidence: 99%

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Can a crystal be the ground state of a Bose system?

Tomchenko¹

2020

Preprint

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It is usually assumed that the Bose crystal at T = 0 corresponds to the genuine ground state of a Bose system, i.e., it is described by the wave function without nodes. By means of a simple analysis based on the general principles, we prove that the ground state of a periodic Bose system corresponds to a liquid or gas, but not to a crystal. One can expect that it is true also for a system with zero boundary conditions, because the boundaries should not affect the bulk properties. Hence, a zero-temperature natural crystal should correspond to an excited state of a Bose system. The wave functions Ψ 0 of a zero-temperature Bose crystal are proposed for zero and periodic boundary conditions. Such Ψ 0 describe highly excited states of the system that correspond to a local minimum of energy (absolute minimum corresponds to a liquid). Those properties yield the possibility of existence of superfluid liquid H 2 , Ne, Ar, and other inert elements. We propose possible experimental ways of obtaining them.

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Section: Physical Consequencesmentioning

confidence: 55%

Section: Discussionmentioning

confidence: 95%

Section: Mathematical Substantiationmentioning

confidence: 99%

Section: Mathematical Substantiationmentioning

confidence: 99%

See 2 more Smart Citations

Can a crystal be the ground state of a Bose system?

Tomchenko¹

2020

Preprint

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“…We remark that crystalline solutions with a condensate of atoms, that possess nonzero momentum (quasimomentum), were considered in a number of works [37,38,39,40,41,42,43,44,45,46]. Strictly speaking, all of these solutions may not correspond to the genuine GS with a nodeless WF.…”

Section: Periodic 3d System Of Spinless Bosonsmentioning

confidence: 99%

Symmetry properties of the ground state of the system of interacting spinless bosons

Tomchenko¹

2021

Preprint

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We perform the symmetry analysis of the properties of the ground state of a finite system of interacting spinless bosons for the three most symmetric boundary conditions (BCs): zero BCs with spherical and circular symmetries, as well as periodic BCs. The symmetry of the system can lead to interesting properties. For instance, the density of a periodic Bose system is an exact constant: ρ(r) = const. Moreover, under perfect spherical symmetry of BCs, the crystalline state cannot produce the Bragg peaks. The main result of the article is that symmetry properties and general quantum-mechanical theorems admit equally both crystalline and liquid ground state for a system of any density.

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Symmetry properties of the ground state of the system of interacting spinless bosons

Tomchenko

2022

Low Temperature Physics

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We perform the symmetry analysis of the properties of the ground state of a finite system of interacting spinless bosons for the three most symmetric boundary conditions (BCs): zero BCs with spherical and circular symmetries, as well as periodic BCs. The symmetry of the system can lead to interesting properties. For instance, the density of a periodic Bose system is an exact constant: ρ(r) = const. Moreover, in the case of perfect spherical symmetry of BCs, the crystalline state cannot produce the Bragg peaks. The main result of the article is that symmetry properties and general quantum-mechanical theorems admit equally both crystalline and liquid ground state for a Bose system of any density.

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Phase transition between condensed homogeneous and periodic systems

Cited by 4 publications

References 10 publications

Can a crystal be the ground state of a Bose system?

Can a crystal be the ground state of a Bose system?

Symmetry properties of the ground state of the system of interacting spinless bosons

Symmetry properties of the ground state of the system of interacting spinless bosons

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