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A spatial distribution is hyperuniform if it has local density fluctuations that vanish in the limit of long length scales. Hyperuniformity is a well known property of both crystals and quasicrystals. Of recent interest, however, is…

Soft Condensed Matter · Physics 2022-08-31 Jack R. Dale , James D. Sartor , R. Cameron Dennis , Eric I. Corwin

Materials featuring anomalous suppression of density fluctuations over large length scales are emerging systems known as disordered hyperuniform. The underlying hidden order renders them appealing for several applications, such as light…

We have studied the peculiarities of electron transport in one-dimensional (1D) disordered chain at the presence of correlations between on-site interaction and tunneling integrals. In the considered models the disorder in host-lattice…

Disordered Systems and Neural Networks · Physics 2025-07-01 V. Slavin , Y. Savin , M. Klimov , M. Kiyashko

Two-dimensional (2D) materials have become a fertile playground for the exploration and manipulation of novel collective electronic states. Recent experiments have unveiled a variety of robust 2D orders in highly-crystalline materials…

We review recent experiments that provide evidence for a transition to a conducting phase in two dimensions at very low electron densities. The nature of this phase is not understood, and is currently the focus of intense theoretical and…

Strongly Correlated Electrons · Physics 2007-05-23 M. P. Sarachik , S. V. Kravchenko

Two-dimensional Dirac semimetals with a single massless Dirac cone exhibit the parity anomaly. Usually, such a kind of anomalous topological semimetallic phase in real materials is unstable where any amount of disorder can drive it into a…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Zhen Ning , Xianyong Ding , Dong-Hui Xu , Rui Wang

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

We obtain analytically a continuum of one-dimensional ballistic extended states in a two-dimensional disordered system, which consists of compactly coupled random and pure square lattices. The extended states give a marginal metallic phase…

Disordered Systems and Neural Networks · Physics 2009-10-31 Shi-Jie Xiong , S. N. Evangelou , E. N. Economou

We numerically investigate the transport properties of disordered interacting electrons in three dimensions in the metallic as well as in the insulating phases. The disordered many-particle problem is modeled by the quantum Coulomb glass…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Thomas Vojta , Frank Epperlein

Discontinuous changes in the electronic structure upon infinitesimal changes to the Hamiltonian are demonstrated. Remarkably, these are revealed in one and two electron molecular systems if the realm of the nuclear charge is extended to be…

Chemical Physics · Physics 2015-06-16 Aron J. Cohen , Paula Mori-Sánchez

We present an overview of the measured transport properties of the two dimensional electron fluids in high mobility semiconductor devices with low electron densities, and of some of the theories that have been proposed to account for them.…

Disordered Systems and Neural Networks · Physics 2010-06-01 B. Spivak , S. V. Kravchenko , S. A. Kivelson , X. P. A. Gao

We present designs of 2D isotropic, disordered photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest gaps are obtained by a constrained optimization method that…

Optics · Physics 2010-07-22 Marian Florescu , Salvatore Torquato , Paul J. Steinhardt

Disordered stealthy hyperuniform (SHU) packings are an emerging class of exotic amorphous two-phase materials endowed with novel physical properties. Such packings of identical spheres have been created from SHU point patterns via a…

Soft Condensed Matter · Physics 2025-04-24 Jaeuk Kim , Salvatore Torquato

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

Order versus disorder in the structure of materials plays a key role in the theoretical prediction of their properties. However, this structural description appears to be ineffective for new families of materials such as high entropy alloys…

We studied the electronic structure Bi(2)Se(3) employing density functional theory. The calculations show that the Dirac states primarily consists of the states at the interface of surface and sub-surface quintuple layers and the emergence…

Materials Science · Physics 2015-02-13 Deepnarayan Biswas , Kalobaran Maiti

Typically the superconducting phase weakens at several points with the increase in disorder before it is distroyed in the 2d-thin films. This may lead to an inhomogeneous superconducting state without a continuous phase. Here we present…

Superconductivity · Physics 2015-08-19 P. Kulkarni , S. Vieira , J. Rodrigo , M. R. Baklanov , T. Baturina , V. Vinokur

Twisted multilayers of two-dimensional (2D) materials are an increasingly important platform for investigating quantum phases of matter, and in particular, strongly correlated electrons. The moir\'e pattern introduced by the relative twist…

Materials Science · Physics 2023-01-11 Mattia Angeli , Gabriel R. Schleder , Efthimios Kaxiras

Silicon (Si) is one of the most extensively studied materials owing to its significance to semiconductor science and technology. While efforts to find a new three-dimensional (3D) Si crystal with unusual properties have made some progress,…

Materials Science · Physics 2018-02-23 Kisung Chae , Duck Young Kim , Young-Woo Son

Hyperuniform states are an efficient way to fill up space for disordered systems. In these states the particle distribution is disordered at the short scale but becomes increasingly uniform when looked at large scales. Hyperuniformity…

Statistical Mechanics · Physics 2019-09-11 Gustavo Castillo , Nicolas Mujica , Nestor Sepulveda , Juan Carlos Sobarzo , Marcelo Guzman , Rodrigo Soto
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