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There are three kinds of solid states of matter that can exist in physical space: quasicrystalline (quasiperiodic), crystalline (periodic) and amorphous (aperiodic). Herein, we consider the degree of orientational order that develops upon…

Materials Science · Physics 2019-07-30 Caroline S. Gorham , David E. Laughlin

We identify the possibility of realizing higher order topological (HOT) phases in noncrystalline or amorphous materials. Starting from two and three dimensional crystalline HOT insulators, accommodating topological corner states, we…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Adhip Agarwala , Vladimir Juricic , Bitan Roy

Metal-organic frameworks are a novel family of chemically diverse materials, which are of interest across engineering, physics, chemistry, biology, and medicine-based disciplines. Since the development of the field in its current form more…

Materials Science · Physics 2019-04-23 Thomas D. Bennett , Anthony K. Cheetham , Alain H. Fuchs , François-Xavier Coudert

The succession of suggested mechanisms of solid-state phase transitions - Second-order, Lambda, Martensitic, Displacive, Topological, Order-Disorder, Soft-mode, Incommensurate, Scaling and Quantum - are analyzed and explained why they…

Materials Science · Physics 2013-12-30 Yuri Mnyukh

A class of Fe-Mn-Si-based alloys exhibits a reversible martensitic transformation between the $\gamma$ phase with a face-centered cubic~(fcc) structure and an $\epsilon$ phase with a hexagonal close-packed (hcp) structure. During the…

Materials Science · Physics 2021-10-05 Takao Tsumuraya , Ikumu Watanabe , Takahiro Sawaguchi

Amorphous solids such as glass are ubiquitous in our daily life and have found broad applications ranging from window glass and solar cells to telecommunications and transformer cores. However, due to the lack of long-range order, the…

Metal oxides such as VO$_2$ undergo structural transitions to low-symmetry phases characterized by intricate crystalline order, accompanied by rich electronic behavior. We derive a minimal ionic Hamiltonian based on symmetry and local…

Materials Science · Physics 2017-07-28 Timothy Lovorn , Sanjoy K. Sarker

We demonstrate that plastic deformation in solids is associated with a dynamic transition that is reminiscent to the transition from a superconducting to a mixed phase in Type II superconductors. We report analytic calculations, extensive…

Soft Condensed Matter · Physics 2016-12-06 Saswati Ganguly , Juergen Horbach , Peter Sollich , Smarajit Karmakar , Surajit Sengupta

By virtue of their open network structures and low densities, metal--organic frameworks (MOFs) are soft materials that exhibit elastic instabilities at low applied stresses. The conventional strategy for improving elastic stability is to…

In our understanding of solids, the formation of highly spatially coherent electronic states, fundamental to command the quantum behavior of materials, relies on the existence of discrete translational symmetry of the crystalline lattice.…

The postulate of the existence of a jamming phase diagram (Liu and Nagel, Nature 396, 21 EP (1998aa)) provides a theoretical basis for the classification of a wide range of amorphous solids (colloidal, molecular and emulsion glasses,…

Soft Condensed Matter · Physics 2020-02-04 Ruru Li , Daniel Lester

One of the basic concepts of modern physics with a long prehistory is a fluid, which means a substance that flows under an applied shear stress. In this sense fluids form a wide subset of the phases of matter that includes liquids, dense…

Statistical Mechanics · Physics 2022-07-12 Ihor Mryglod , Vasyl' Ignatyuk

Identifying the regions responsible for plastic flow in amorphous solids remains an open problem, since structural disorder seems to prevent the direct application of concepts such as dislocations, topological defects that successfully…

Soft Condensed Matter · Physics 2026-05-21 Xin Wang , Yang Xu , Jin Shang , Yi Xing , Jie Zhang , Yujie Wang , Walter Kob , Matteo Baggioli

Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

A second-order phase transition is characterized by spontaneous symmetry breaking. The nature of the broken symmetry in the so-called "hidden order" phase transition in the heavy fermion compound URu2Si2, at transition temperature T_h=17.5…

Strongly Correlated Electrons · Physics 2011-07-28 R. Okazaki , T. Shibauchi , H. J. Shi , Y. Haga , T. D. Matsuda , E. Yamamoto , Y. Onuki , H. Ikeda , Y. Matsuda

Disordered hyperuniform (DHU) states are recently discovered exotic states of condensed matter. DHU systems are similar to liquids or glasses in that they are statistically isotropic and lack conventional long-range translational and…

Materials Science · Physics 2022-12-06 Duyu Chen , Houlong Zhuang , Mohan Chen , Pinshane Huang , Vojtech Vlcek , Yang Jiao

Understanding crystal growth and morphology is a fundamental issue in condensed matter physics. While crystal morphology due to the distribution and dynamics of the diffusion field has been intensively studied, how the intrinsic material…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 Yutaro Tanaka , Shuai Zhang , Tiantian Zhang , Shuichi Murakami

Higher-order topological insulators are established as topological crystalline insulators protected by crystalline symmetries. One celebrated example is the second-order topological insulator in three dimensions that hosts chiral hinge…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Jiong-Hao Wang , Yan-Bin Yang , Ning Dai , Yong Xu

We study phase transitions and the nature of order in a class of classical generalized $O(N)$ nonlinear $\sigma$-models (NLS) constructed by minimally coupling pure NLS with additional degrees of freedom in the form of (i) Ising…

Statistical Mechanics · Physics 2015-12-23 Tirthankar Banerjee , Niladri Sarkar , Abhik Basu

We introduce a new class of functional correlated disordered materials, termed Gyromorphs, which uniquely combine liquid-like translational disorder with quasi-long-range rotational order, induced by a ring of $G$ delta peaks in their…

Statistical Mechanics · Physics 2025-11-10 Mathias Casiulis , Aaron Shih , Stefano Martiniani