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Extensive body of work has shown that for the model of a non-interacting electron in a random potential there is a quantum critical point for dimensions greater than two---a metal-insulator transition. This model also plays an important…

Disordered Systems and Neural Networks · Physics 2010-08-17 Sudip Chakravarty

We extend density matrix embedding theory to periodic systems, resulting in an electronic band structure method for solid-state materials. The electron correlation can be captured by means of a local impurity model using various choices of…

Strongly Correlated Electrons · Physics 2019-09-27 Hung Q. Pham , Matthew R. Hermes , Laura Gagliardi

\'Eliashberg theory, being generalized to the case of the electron-phonon (EP) systems with the not constant density of electronic states, as well as to the frequency behavior of the renormalization of both the electron mass and the…

Superconductivity · Physics 2016-10-11 Nikolay Kudryashov , Alexander Kutukov , Evgeny Mazur

Fundamental mechanisms of energy storage, corrosion, sensing, and multiple biological functionalities are directly coupled to electrical processes and ionic dynamics at solid-liquid interfaces. In many cases, these processes are spatially…

Materials Science · Physics 2017-01-25 Liam Collins , Jason Kilpatrick , Sergei V. Kalinin , Brian J. Rodriguez

We present an alternative to the Kohn-Sham formulation of density functional theory for the ground-state properties of strongly interacting electronic systems. The idea is to start from the limit of zero kinetic energy and systematically…

Strongly Correlated Electrons · Physics 2015-05-13 Paola Gori-Giorgi , Michael Seidl , G. Vignale

In two and three dimensions, this study is focused on the numerical analysis of an eigenproblem associated with a fluid-structure model for sloshing and elasto-acoustic vibration. We use a displacement-Herrmann pressure formulation for the…

Numerical Analysis · Mathematics 2025-11-05 Arbaz Khan , Felipe Lepe , David Mora , Ricardo Ruíz-Baier , Jesus Vellojin

A new approach to calculating current-induced forces in charge transport through nanosystems is introduced. Starting from the fully quantum mechanical hierarchical equations of motion formalism, a timescale separation between electronic and…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Samuel L. Rudge , Yaling Ke , Michael Thoss

Theoretical understanding of the scaling of entropies and the mutual information has led to significant advances in the research of correlated states of matter, quantum field theory, and gravity. Measuring von Neumann entropy in quantum…

We calculate the entanglement entropy of strongly correlated low-dimensional fermions in metallic, superfluid and antiferromagnetic insulating phases. The entanglement entropy reflects the degrees of freedom available in each phase for…

Strongly Correlated Electrons · Physics 2009-11-11 V. V. França , K. Capelle

We propose a means for constructing highly accurate equations of state (EOS) for elemental solids and liquids essentially from first principles, based upon a particular decomposition of the underlying condensed matter Hamiltonian for the…

Materials Science · Physics 2009-11-07 Eric D. Chisolm , Scott D. Crockett , Duane C. Wallace

We present a self-contained theoretical and computational framework for dynamics following photoexcitation in quantum dots near planar interfaces. A microscopic Hamiltonian parameterized by first principles calculations is merged with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Kuljit S. Virk , Mark S. Hybertsen , David R. Reichman

Traditionally, phase transitions are defined in the thermodynamic limit only. We propose a new formulation of equilibrium thermo-dynamics that is based entirely on mechanics and reflects just the {\em geometry and topology} of the N-body…

Statistical Mechanics · Physics 2009-10-31 D. H. E. Gross

We prove that the electron density function of a real physical system can be uniquely determined by its values on any finite subsystem. This establishes the existence of a rigorous density-functional theory for any open electronic system.…

Quantum Physics · Physics 2007-05-23 Xiao Zheng , Fan Wang , GuanHua Chen

We introduce a method for computing quantum mechanical forces through surface integrals over the stress tensor within the framework of density functional theory. This approach avoids the inaccuracies of traditional force calculations using…

Chemical Physics · Physics 2025-01-31 Moritz Gubler , Jonas A. Finkler , Stig Rune Jensen , Stefan Goedecker , Luca Frediani

Dissipative quantum systems are frequently described within the framework of the so-called "system-plus-reservoir" approach. In this work we assign their description to the Maximum Entropy Formalism and compare the resulting thermodynamic…

Statistical Mechanics · Physics 2017-01-04 Lisan M. M. Durão , Amir O. Caldeira

In a previous work one of the authors proposed a simple model for studying systems under pressure based on the Thomas-Fermi (TF) model of single atom. In this work we intend to extend the previous work to more general Thomas-Fermi models…

Statistical Mechanics · Physics 2009-11-10 E. Cappelluti , L. Delle Site

This work expands on our recently introduced low Mach enthalpy method [1] for simulating the melting and solidification of a phase change material (PCM) alongside (or without) an ambient gas phase. The method captures PCM's volume change…

Fluid Dynamics · Physics 2025-03-11 Ramakrishnan Thirumalaisamy , Amneet Pal Singh Bhalla

The first aims of this work are to endorse the advent of finitely additive set functions as equilibrium states and the possibility to replace the metric entropy by an upper semi-continuous map associated to a general variational principle.…

Dynamical Systems · Mathematics 2022-04-07 Andrzej Bis , Maria Carvalho , Miguel Mendes , Paulo Varandas

We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its…

High Energy Physics - Theory · Physics 2015-06-17 Chanyong Park

The theoretical description of materials' properties driven out of equilibrium has important consequences in various fields such as semiconductor spintronics, nonlinear optics, continuous and discrete quantum information science and…

Materials Science · Physics 2025-09-18 Jacopo Simoni , Gabriele Riva , Yuan Ping