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The extended Bose-Hubbard model in a quadratic trap potential is studied using a finite-size density-matrix renormalization group method (DMRG). We compute the boson density profiles, the local compressibility and the hopping correlation…

Strongly Correlated Electrons · Physics 2009-11-11 Laura Urba , Emil Lundh , Anders Rosengren

The cubic $Ia\bar{3}$ (BC8) and tetragonal $P4_32_12$ (ST12) high pressure modifications of Si and Ge are attractive candidates for applications in optoelectronic, thermoelectric or plasmonic devices. Si$_x$Ge$_{1-x}$ alloys in BC8/ST12…

Materials Science · Physics 2020-08-26 Johannes Wagner , Maribel Núñez-Valdez

Topological band structures in electronic systems like topological insulators and semimetals give rise to highly unusual physical properties. Analogous topological effects have also been discussed in bosonic systems, but the novel phenomena…

Mesoscale and Nanoscale Physics · Physics 2017-03-06 Hoi Chun Po , Yasaman Bahri , Ashvin Vishwanath

The elastic wave propagation is investigated in the beam lattice material characterized by a square periodic cell with anti-tetrachiral microstructure. With reference to the Floquet-Bloch spectrum, focus is made on the band structure…

Materials Science · Physics 2016-08-04 Andrea Bacigalupo , Giorgio Gnecco , Marco Lepidi , Luigi Gambarotta

We construct a generalized-gradient approximation for the exchange-energy density of finite two-dimensional systems. Guided by non-empirical principles, we include the proper small-gradient limit and the proper tail for the exchange-hole…

Strongly Correlated Electrons · Physics 2014-03-26 J. G. Vilhena , E. Rasanen , M. A. L. Marques , S. Pittalis

We present an approach based on density-functional theory for the calculation of fundamental gaps of both finite and periodic two-dimensional (2D) electronic systems. The computational cost of our approach is comparable to that of total…

Materials Science · Physics 2021-08-11 Alberto Guandalini , Alice Ruini , Esa Räsänen , Carlo Andrea Rozzi , Stefano Pittalis

Spectral gaps in the vibrational modes of disordered solids are key design elements in the synthesis and control of phononic metamaterials that exhibit a plethora of novel elastic and mechanical properties. However, reliably producing these…

Soft Condensed Matter · Physics 2021-03-19 Yuanjian Zheng , Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

It is well-known that band gaps, in the frequency domain, can be achieved by using periodic metamaterials. However it has been challenging to design materials with broad band gaps or that have multiple overlapping band gaps. For periodic…

Classical Physics · Physics 2025-05-05 Paulo S. Piva , Art L. Gower , I. David Abrahams

We present the metamorphosis in the effective-potential profile of layered heterostructures, for several III-V semiconductor binary compounds, when the band mixing of light and heavy holes increases. A root-locus-like procedure, is directly…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 J. J. Flores-Godoy , A. Mendoza-Álvarez , L. Diago-Cisneros , G. Fernández-Anaya

Spontaneous orbital magnetism observed in twisted bilayer graphene (tBG) on nearly aligned hexagonal boron nitride (BN) substrate builds on top of the electronic structure resulting from combined G/G and G/BN double moire interfaces. Here…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Jiseon Shin , Youngju Park , Bheema Lingam Chittari , Jeil Jung

The exact-exchange (EXX) potential, which is obtained by solving the optimized-effective potential (OEP) equation, is compared to various approximate semilocal exchange potentials for a set of selected solids (C, Si, BN, MgO, Cu$_{2}$O, and…

Strongly Correlated Electrons · Physics 2016-08-07 Fabien Tran , Markus Betzinger , Peter Blaha , Stefan Blügel

Semi-local density functionals for the exchange-correlation energy of electrons are extensively used as it produce realistic and accurate results for finite and extended systems. The choice of techniques play crucial role in constructing…

Materials Science · Physics 2017-11-01 Subrata Jana , Prasanjit Samal

In IV-VI semiconductor heterojunctions with band-inversion, such as those made of Pb$_{1-x}$Sn$_{x}$Te or Pb$_{1-x}$Sn$_{x}$Se, interface states are properly described by a two-band model, predicting the appearance of a Dirac cone in single…

Mesoscale and Nanoscale Physics · Physics 2017-11-16 A. Diaz-Fernandez , Leonor Chico , F. Dominguez-Adame

We investigate the dynamical self-energy corrections of the electron-hole plasma due to electron-electron and electron-phonon interactions at the band edges of a quasi-one dimensional (1D) photoexcited electron-hole plasma. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. H. Hwang , S. Das Sarma

Nowadays pseudopotential density-functional theory calculations constitute the standard approach to tackle solid-state electronic problems. These rely on distributed pseudopotential tables that were built from all-electron atomic…

Computational Physics · Physics 2020-03-24 Pedro Borlido , Jan Doumont , Fabien Tran , Miguel Marques , Silvana Botti

The accuracy of applying density functional theory to noncovalent interactions is hindered by errors arising from low-density regions of interaction-induced change in the density gradient, error compensation between correlation and exchange…

Chemical Physics · Physics 2014-10-22 Marcin Modrzejewski , Grzegorz Chałasiński , Małgorzata M. Szczęśniak

The exchange-correlation potentials stemming from the local-density approximation and several generalized-gradient approximations are known to have incorrect asymptotic decay. This failure is independent of the dimensionality, but so far…

Strongly Correlated Electrons · Physics 2010-09-01 S. Pittalis , E. Rasanen

Semilocal exchange-correlation functionals are the most accurate, realistic and widely used ones to describe the complex many-electron effects of two-dimensional quantum systems. Beyond local density approximation, the generalized gradient…

Materials Science · Physics 2017-04-12 Subrata Jana , Prasanjit samal

Wave motion in a continuous elastic rod with a periodically attached inertial-amplification mechanism is investigated. The mechanism has properties similar to an "inerter" typically used in vehicle suspensions, however here it is…

Other Condensed Matter · Physics 2021-09-01 Niels M. M. Frandsen , Osama R. Bilal , Jakob S. Jensen , Mahmoud I. Hussein

We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic crystals consisting of a background medium which is perforated…

Analysis of PDEs · Mathematics 2007-05-23 H. Ammari , H. Kang , H. Lee