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Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron…

Strongly Correlated Electrons · Physics 2016-08-31 S. Kodiyalam , H. A. Fertig , S. Das Sarma

The phonon spectra of solids, described through the measurable vibrational density of states (VDOS), provide a wealth of information about the underlying atomic structure and bonding, and they determine fundamental macroscopic properties…

Materials Science · Physics 2020-03-11 Matteo Baggioli , Alessio Zaccone

We measure the excitation spectrum of a stable dipolar Bose--Einstein condensate over a wide momentum-range via Bragg spectroscopy. We precisely control the relative strength, $\epsilon_{\rm dd}$, of the dipolar to the contact interactions…

Quantum Gases · Physics 2019-08-09 D. Petter , G. Natale , R. M. W. van Bijnen , A. Patscheider , M. J. Mark , L. Chomaz , F. Ferlaino

Phonons are universal language for solid state theory. Effective phonon theory (self-consistent harmonic approximation) have been extensively used to access the weakly nonlinear effect in solid materials, which are standard content in…

Statistical Mechanics · Physics 2013-01-15 Yong Zhang , Shunda Chen , Jiao Wang , Hong Zhao

Using scanning probe microscopy and spectroscopy, we explore the spatial symmetry of the electronic wavefunctions of twisted bilayer graphene at the "magic angle" of 1.1 degrees. This small twist angle leads to a long wavelength moir\'e…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Zhiming Zhang , Rachel Myers , Kenji Watanabe , Takashi Taniguchi , Brian J. LeRoy

The vibrational density of states $D(\omega)$ of solids controls their thermal and transport properties. In crystals, the low-frequency modes are extended phonons distributed in frequency according to Debye's law, $D(\omega) \propto…

Soft Condensed Matter · Physics 2021-12-01 Shivam Mahajan , Massimo Pica Ciamarra

We study how phonon structure manifests itself in the electronic density of states of graphene. A procedure for extracting the value of the electron-phonon renormalization $\lambda$ is developed. In addition, we identify direct phonon…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. J. Nicol , J. P. Carbotte

The diffraction pattern of a single non-periodic compact object, such as a molecule, is continuous and is proportional to the square modulus of the Fourier transform of that object. When arrayed in a crystal, the coherent sum of the…

Recent investigations on the Hamiltonian of excitons by F. Schweiner et al. [Phys. Rev. Lett. 118, 046401 (2017)] revealed that the combined presence of a cubic band structure and external fields breaks all antiunitary symmetries. The…

Chaotic Dynamics · Physics 2017-06-12 Frank Schweiner , Jörg Main , Günter Wunner

We study the spectral statistics for extended yet finite quasi 1-d systems which undergo a transition from periodicity to disorder. In particular we compute the spectral two-point form factor, and the resulting expression depends on the…

Disordered Systems and Neural Networks · Physics 2009-10-31 T. Dittrich , B. Mehlig , H. Schanz , Uzy Smilansky , Peter Pollner , Gabor Vattay

We study Bragg spectroscopy of strongly interacting one dimensional bosons loaded in an optical lattice plus an additional parabolic potential. We calculate the dynamic structure factor by using Monte Carlo simulations for the Bose-Hubbard…

Other Condensed Matter · Physics 2009-11-11 Guido Pupillo , Ana Maria Rey , G. George Batrouni

Motivated by questions of present interest in nuclear and condensed matter physics we consider the superposition of a diagonal matrix with independent random entries and a GUE. The relative strength of the two contributions is determined by…

Disordered Systems and Neural Networks · Physics 2009-10-30 Thomas Guhr , Axel Mueller-Groeling

We study a harmonically trapped Bose-Einstein condensate with dipole-dipole interactions in a regime where a roton spectrum emerges. We show that the roton spectrum is clearly revealed in the static and dynamic structure factors which can…

Quantum Gases · Physics 2012-09-19 P. B. Blakie , D. Baillie , R. N. Bisset

A theory of vibrational excitations based on power-law spatial correlations in the elastic constants (or equivalently in the internal stress) is derived, in order to determine the vibrational density of states $D(\omega)$ of disordered…

Disordered Systems and Neural Networks · Physics 2020-11-30 Bingyu Cui , Alessio Zaccone

Statistics of many particle energy levels of a finite two-dimensional system of interacting electrons is numerically studied. It is shown that the statistics of these levels undergoes a Poisson to Wigner crossover as the strength of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Berkovits , B. I. Shklovskii

We present a theoretical description of the coupling between longitudinal optical phonons and collective excitations of a two-dimensional electron gas. By diagonalizing the Hamiltonian of the system, including Coulomb electron-electron and…

Mesoscale and Nanoscale Physics · Physics 2020-02-21 Sofia Ribeiro , Angela Vasanelli , Yanko Todorov , Carlo Sirtori

We consider long-wave phonon-polaritons and longitudinal optical phonons in alkali-halide ionic crystals. The model of point charges that are polarized in the self-consistent electromagnetic field in a dielectric environment is used. The…

Materials Science · Physics 2017-07-12 Anton Stupka

A theoretical analysis is made of the transformation of the dispersion relation of waves in artificial crystals under the influence of loss, including the case of photonic and phononic crystals. Considering a general dispersion relation in…

Optics · Physics 2013-12-25 Vincent Laude , Jose Maria Escalante , Alejandro Martinez

The vibrational modes of pristine and polycrystalline monolayer colloidal crystals composed of thermosensitive microgel particles are measured using video microscopy and covariance matrix analysis. At low frequencies, the Debye relation for…

We develop a method to compute shakeup effects on photoluminescence from a strong magnetic field induced two-dimensional Wigner crystal. Only localized holes are considered. Our method treats the lattice electrons and the tunneling electron…

Condensed Matter · Physics 2009-10-28 D. Z. Liu , H. A. Fertig , S. Das Sarma