From Crystals to Disordered Crystals: A Hidden Order-Disorder Transition

Tong, Hua; Tan, Peng; Xu, Nanping

doi:10.1038/srep15378

Cited by 70 publications

(101 citation statements)

References 58 publications

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“…Because relating microscopic features with macroscopic rheology is still unsolved, it is unclear whether our findings relate with those of the universality class proposed in Ref. 19, but this hypothesis deserves further consideration. The specific exponent values and their violation of the stability bounds for marginal solids observed in these systems should also motivate additional study.…”

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confidence: 77%

Glassy, Gardner-like phenomenology in minimally polydisperse crystalline systems

Charbonneau

Corwin

et al. 2019

Phys. Rev. E

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We report on a non-equilibrium phase of matter, the minimally disordered crystal phase, which we find exists between the maximally amorphous glasses and the ideal crystal. Even though these near crystals appear highly ordered, they display glassy and jamming features akin to those observed in amorphous solids. Structurally, they exhibit a power-law scaling in their probability distribution of weak forces and small interparticle gaps as well as a flat density of vibrational states. Dynamically, they display anomalous aging above a characteristic pressure. Quantitatively this disordered crystal phase has much in common with the Gardner-like phase seen in maximally disordered solids. Near crystals should be amenable to experimental realizations in commercially-available particulate systems and are to be indispensable in verifying the theory of amorphous materials.

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confidence: 77%

Glassy, Gardner-like phenomenology in minimally polydisperse crystalline systems

Charbonneau

Corwin

et al. 2019

Phys. Rev. E

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“…Atoms are identical, but colloids inevitably have a polydispersity that is typically >3%. A polydispersed system can self‐assemble into not only a less ordered structure, but also qualitatively different crystals . Polydispersity shifts the melting point, hexatic regime and coexistence regime in both 2D and 3D .…”

Section: Other Factors Affecting Meltingmentioning

confidence: 99%

Melting of Colloidal Crystals

Wang

Zhou

Han

2016

Adv Funct Materials

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8903wileyonlinelibrary.com ClassificationCrystal melting can be categorized into two types: homogeneous melting in which the melting is equally likely to occur anywhere in the crystal, and heterogeneous melting in which the melting is more likely to occur at the surfaces and defects than the defectfree regions. Heterogeneous melting can be divided into surface melting from a free surface (i.e., the solid-vapor interface), interfacial melting from the interface of two materials (e.g., a crystal and its substrate), grain-boundary melting and melting at weaker defects such as dislocations and vacancies. Homogeneous melting exists in defect-free crystals whose surface melting is suppressed. This type of melting is of theoretical importance but is difficult to achieve experimentally because most crystals melt from surfaces and are not defect-free, which leads to heterogeneous melting. However, homogeneous melting can be conveniently studied by simulation using defect-free crystals under periodic boundary conditions.In heterogeneous melting, particles at the surfaces or defects usually have a higher free energy than those in a perfect crystal. If the free energy is high enough, melting can take place even before the melting point is reached, which is known as premelting. If none of the surfaces and defects has a high enough free energy, then the crystal can be superheated to form a metastable crystal above the bulk melting point. The bulk melting point is the point at which the solid and liquid phases share the same chemical potential, and surfaces are negligible at the thermodynamic limit, i.e., the crystals are infinitely large. For 3D crystals, the likelihood of inducing melting in decreasing order is roughly as follows: 0D corners and 1D edges (intersection of three or two free surfaces) > 1D surface grain boundaries (intersection of a free surface and a bulk grain boundary) > free surfaces > bulk triple junctions > high-angle grain boundaries > the interface between two solids (e.g., on a flat substrate) > lowangle grain boundaries > dislocations > partial dislocations > vacancies > interstitials. [4] Melting starts from the strongest defects and spreads rapidly into the crystal, and thus usually preempts the melting from other weaker defects. Note that this order may not always hold. For example, the energy of free surfaces and grain boundaries varies with their orientations and the interfacial energy at the substrate depends on the affinity between the two solids. Consequently, most free surfaces, some grain boundaries and some solid interfaces will premelt below the bulk melting point T m , while other solid interfaces and grain boundaries and a few free surfaces will only induce melting above T m , i.e., they can be superheated.Crystal melting is affected by many factors such as defects, surfaces, dimensionality, lattice structure, and particle interaction, and thus exhibits rich phenomenology. It is usually a first-order phase transition which currently lacks a fundamental theory. Despite numerous studies ove...

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“…These two peaks apparently develop from the van Hove singularities and always stay at roughly the same frequencies. It has been shown that the emergence of the boson peak in this case is a signature of the transition from crystals to disordered crystals, i.e., solids with fairly high crystalline order but sufficiently strong local coordination number fluctuation and the mechanical and vibrational properties of disordered solids [35]. creasing η b , the Ioffe-Regel frequencies decrease and approach ω BP .…”

Section: Local Coordination Number Disordermentioning

confidence: 99%

Role of disorder in determining the vibrational properties of mass-spring networks

Nie

Tong

et al. 2017

Front. Phys.

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By introducing four fundamental types of disorders into a two-dimensional triangular lattice separately, we determine the role of each type of disorder in the vibration of the resulting massspring networks. We are concerned mainly with the origin of the boson peak and the connection between the boson peak and the transverse Ioffe-Regel limit. For all types of disorders, we observe the emergence of the boson peak and Ioffe-Regel limits. With increasing disorder, the boson peak frequency ωBP , transverse Ioffe-Regel frequency ω . Therefore, the argument that the boson peak is equivalent to the transverse Ioffe-Regel limit is not general. Our results suggest that both local coordination number and positional disorder are necessary for the argument to hold, which is actually the case for most disordered solids such as marginally jammed solids and structural glasses. We further combine two types of disorders to cause disorder in both the local coordination number and lattice site position. The density of vibrational states of the resulting networks resembles that of marginally jammed solids well. However, the relation between the boson peak and the transverse Ioffe-Regel limit is still indefinite and condition-dependent. Therefore, the interplay between different types of disorders is complicated, and more in-depth studies are required to sort it out.

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From Crystals to Disordered Crystals: A Hidden Order-Disorder Transition

Cited by 70 publications

References 58 publications

Glassy, Gardner-like phenomenology in minimally polydisperse crystalline systems

Glassy, Gardner-like phenomenology in minimally polydisperse crystalline systems

Melting of Colloidal Crystals

Role of disorder in determining the vibrational properties of mass-spring networks

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