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Complex and correlated quantum systems with promise for new functionality often involve entwined electronic degrees of freedom. In such materials, highly unusual properties emerge and could be the result of electron localization. Here, a…

We introduce a local machine-learning method for predicting the electron densities of periodic systems. The framework is based on a numerical, atom-centred auxiliary basis, which enables an accurate expansion of the all-electron density in…

Chemical Physics · Physics 2021-11-10 Alan M. Lewis , Andrea Grisafi , Michele Ceriotti , Mariana Rossi

Single-electron capacitance spectroscopy precisely measures the energies required to add individual electrons to a quantum dot. The spatial extent of electronic wavefunctions is probed by investigating the dependence of these energies on…

Mesoscale and Nanoscale Physics · Physics 2010-03-11 N. B. Zhitenev , M. Brodsky , R. C. Ashoori , L. N. Pfeiffer , K. W. West

The localization length of a low energy tightly bound electron-hole pair (excitons) is calculated by exact diagonalization for small interacting disordered systems. The exciton localization length (which corresponds to the thermal…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Richard Berkovits

Blending of semiconductors for controlling the energy levels (band structure engineering) is an important technique, in particular, for optoelectronic applications. The underlying physics is the delocalized Bloch states, which average over…

Electronic properties of III-V semiconductor alloys are examined using first principles with the focus on the spatial localization of electronic states. We compare localization at the band edges due to various isovalent impurities in a host…

Materials Science · Physics 2017-06-15 C. Pashartis , O. Rubel

A relation derived from the Kubo formula shows that optical conductivity measurements below the gap frequency in doped semiconductors can be used to probe directly the time-dependent quantum dynamics of charge carriers. This allows to…

Materials Science · Physics 2015-03-17 S. Ciuchi , S. Fratini , D. Mayou

We derive an automatic procedure for generating a set of highly localized, non-orthogonal orbitals for linear scaling quantum Monte Carlo calculations. We demonstrate the advantage of these orbitals in calculations of the total energy of…

Materials Science · Physics 2007-05-23 F. A. Reboredo , A. J. Williamson

We consider the change in electron localization due to the presence of electron-electron repulsion in the \HA model. Taking into account local Mott-Hubbard physics and static screening of the disorder potential, the system is mapped onto an…

Disordered Systems and Neural Networks · Physics 2008-12-28 Peter Henseler , Johann Kroha , Boris Shapiro

As a measure to ascertain whether a system is metallic or insulating, localization length $\lambda_N$, which represents the spread of electron distribution, can be a useful quantity, especially for approaching a metal-insulator transition…

Strongly Correlated Electrons · Physics 2016-05-31 Shun Tamura , Yokoyama Hisatoshi

The entanglement can be localized between two noncomplementary parts of a many-body system by performing measurements on the rest of the system. This localized entanglement (LE) depends on the chosen basis set of measurement (BSM). We…

Quantum Physics · Physics 2012-11-20 Shaon Sahoo

We report new accurate mesasurements of the mobility of excess electrons in high density Helium gas in extended ranges of temperature $[(26\leq T\leq 77) K ]$ and density $[ (0.05\leq N\leq 12.0) {atoms} \cdot {nm}^{-3}]$ to ascertain the…

Plasma Physics · Physics 2016-09-08 A. F. Borghesani , M. Santini

A new method for the localization of crystalline orbitals for entangled energy bands is proposed. It is an extension of the Wannier-Boys algorithm [C. M. Zicovich-Wilson, R. Dovesi, and V. R. Saunders, J. Chem. Phys. 115, 9708 (2001)] which…

Materials Science · Physics 2009-01-07 Uwe Birkenheuer , Dmitry Izotov

A new type of localization - localization over the quantum resonance cells - in an intrinsically degenerate system is explored by using the quasienergy eigenstates.

Quantum Physics · Physics 2009-10-30 V. Ya. Demikhovskii , D. I. Kamenev

The organization of the electrons in the ground state is classified by means of topological invariants, defined as global properties of the wavefunction. Here we address the Chern number of a two-dimensional insulator and we show that the…

Strongly Correlated Electrons · Physics 2012-01-23 Raffaello Bianco , Raffaele Resta

Localization of electronic states in disordered thin layered systems with b layers is studied within the Anderson model of localization using the transfer-matrix method and finite-size scaling of the inverse of the smallest Lyapunov…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Z. Cerovski , R. K. Brojen Singh , M. Schreiber

Random electron systems show rich phases such as Anderson insulator, diffusive metal, quantum and anomalous quantum Hall insulator, Weyl semimetal, as well as strong/weak topological insulators. Eigenfunctions of each matter phase have…

Disordered Systems and Neural Networks · Physics 2016-11-21 Tomoki Ohtsuki , Tomi Ohtsuki

For a twisted (vortex) Dirac particle in nonuniform electric and magnetic fields, the relativistic Foldy-Wouthuysen Hamiltonian is derived including high order terms describing new effects. The result obtained shows for the first time that…

Quantum Physics · Physics 2019-02-20 Alexander J. Silenko , Pengming Zhang , Liping Zou

A previously proposed computational procedure for constructing a set of nonorthogonal strongly localised one-electron molecular orbitals (O. Danyliv, L. Kantorovich - physics/0401107) is applied to a perfect $\alpha$-quartz crystal…

Chemical Physics · Physics 2009-11-10 Oleh Danyliv , Lev Kantorovich

We present the Electronic Tensor Reconstruction Algorithm (ELECTRA) - an equivariant model for predicting electronic charge densities using floating orbitals. Floating orbitals are a long-standing concept in the quantum chemistry community…

Machine Learning · Computer Science 2026-01-27 Jonas Elsborg , Luca Thiede , Alán Aspuru-Guzik , Tejs Vegge , Arghya Bhowmik