A Weyl semimetallic state with pairs of nondegenerate Dirac cones in three dimensions was recently predicted to occur the antiferromagnetic pyrochlore iridates. Here, we show that THz optical conductivity and temperature dependence free carrier response ${\mathrm{Eu}}_{2}{\mathrm{Ir}}_{2}{\mathrm{O}}_{7}$ match predictions for a semimetal suggest novel liquid behavior. The interband vanishes continuously at low frequencies signifying semimetal. metal-semimetal transition ${T}_{N}=110$ K is...

We consider theoretically surface plasmon polaritons in Weyl semimetals. These materials contain pairs of band touching points---Weyl nodes---with a chiral topological charge, which induces an optical anisotropy and anomalous transport through the anomaly. show that these effects, are not present ordinary metals, have direct fundamental manifestation dispersion. The retarded dispersion depends on separation nodes energy momentum space. For semimetals with broken time-reversal symmetry,...

In this Letter, we show that the classical SO(2,1) symmetry of a harmonically trapped Fermi gas in two dimensions is broken by quantum effects. The anomalous correction to algebra given two-body operator well known as contact. Taking into account modification, are able derive virial theorem for system and universal relation pressure homogeneous gas. existence an undamped breathing mode associated with symmetry. We provide estimate frequency shift oscillation at zero temperature compare...

We consider theoretically as a function of temperature the plasmon mode arising in three-dimensional Dirac liquids, i.e., systems with linear chiral relativistic single-particle dispersion, within random phase approximation. find that whereas no exists intrinsic (undoped) system at zero temperature, there is well-defined finite-temperature superlinear dependence, rendering dispersion widely tunable temperature. The contains logarithmic correction due to ultraviolet-logarithmic...

We study the dynamics of domain formation and coarsening in a binary Bose-Einstein condensate that is quenched across miscible-immiscible phase transition. The late-time evolution system universal governed by scaling laws for correlation functions. numerically determine forms extract critical exponents describe growth rate size autocorrelations. Our data are consistent with inviscid hydrodynamic growth, which dynamical exponent 1/z=0.68(2). In addition, we analyze effect wall configurations...

We address the puzzling weak-coupling perturbative behavior of graphene interaction effects as manifested experimentally, in spite effective fine structure constant being large, by calculating effect Coulomb interactions on quasiparticle properties to next-to-leading order random phase approximation (RPA). The focus our work is suspended vacuum, where electron-electron are strong and system manifestly a nonperturbative regime. report results for residue Fermi velocity renormalization at low...

We develop a theory for electron-electron interaction-induced many-body effects in three-dimensional Weyl or Dirac semimetals, including interaction corrections to the polarizability, electron self-energy, and vertex function, up second order effective fine-structure constant of material. These results are used derive higher-order ultraviolet renormalization Fermi velocity, coupling, quasiparticle residue, revealing that group flows both velocity coupling counteract leading-order tendencies...

We apply the operator-product expansion to determine asymptotic form of current response a Fermi gas in two and three dimensions. The leading-order term away from one-particle peak is proportional quantity known as contact, coefficient which determined exactly. also calculate dynamic structure factor high-frequency tails spectral viscosities function scattering length. Our results are used derive certain sum rules for viscosities.

An accurate prediction of scheduling and execution instruction streams is a necessary prerequisite for predicting the in-core performance behavior throughput-bound loop kernels on out-of-order processor architectures. Such predictions are an indispensable component analytical models, such as Roofline Execution-Cache-Memory (ECM) model, allow deep understanding performance-relevant interactions between hardware architecture code. We present Open Source Architecture Code Analyzer (OSACA),...

We compute the frequency-dependent shear and bulk viscosity spectral functions of an interacting Fermi gas in a quantum virial expansion up to second quadratic order fugacity parameter $z=e^{\beta \mu}$, which is small at high temperatures. Calculations are carried out using diagrammatic finite-temperature field-theoretic framework, analytic continuation from Matsubara real frequencies closed form. Besides possible zero-frequency Drude peak, our results for show broad continuous spectrum all...

We develop an analytically solvable model for interacting two-dimensional Fermi liquids with separate collisional relaxation rates parity-odd and parity-even surface deformations. Such a disparity of lifetimes exists whenever scattering is restricted to inversion-symmetric surfaces, should thus be generic feature liquids. It implies additional unanticipated ``tomographic'' transport regime (in between the standard collisionless hydrodynamic regimes) in which even-parity modes are overdamped...

A precise characterization of the recently discovered crossover to hydrodynamic transport in electron liquids, and particular a conjectured exotic odd-parity regime, requires full solution Fermi-liquid collision integral at all temperatures beyond state-of-the-art analytic leading-logarithmic approximations. We develop general basis expansion linearized applicable temperatures, employ this determine decay rates Fermi surface perturbations two-dimensional liquids. In particular, we provide...

Degenerate two-dimensional electron liquids are theoretically established to possess two vastly distinct collisional mean free paths, where even-parity deformations of the Fermi surface hydrodynamic with a short path but odd-parity remain near ballistic (known as “tomographic” transport regime). Predicted signatures this regime rely on scaling observables temperature or device dimension, both which difficult establish certainty. Here, we consider magnetotransport in minimal model tomographic...

The spectral function of a spin-balanced two-dimensional Fermi gas with short-range interactions is calculated by means quantum cluster expansion. Good qualitative agreement found recent experiment Feld $\textit{et al.}$ [Nature (London) $\textbf{480}$, 75 (2011)]. effects pairing are clearly visible in the density states, which displays suppression weight due to formation two-body bound state. In addition, momentum distribution and radio-frequency spectrum derived, excellent exact universal...

We study theoretically the properties of interacting Dirac liquid, a novel three-dimensional many-body system which was recently experimentally realized and in electrons have chiral linear relativistic dispersion mutual Coulomb interaction. find that ``intrinsic'' where Fermi energy lies exactly at nodes band dispersion, displays unusual liquid similar to graphene, whereas ``extrinsic'' with finite detuning or doping behaves as standard Landau liquid. present analytical numerical results for...

Quenched disorder in semiconductors induces localized electronic states at the band edge, which manifest as an exponential tail density of states. For large impurity densities, this takes a universal Lifshitz form that is characterized by short-ranged potential fluctuations. We provide both analytical expressions and numerical values for parabolic conduction including its exact fluctuation prefactor. Our analysis based on replica field integral approach, where leading scaling determined...

Single Instruction, Multiple Data (SIMD) vectorization is a major driver of performance in current architectures, and mandatory for achieving good with codes that are limited by instruction throughput. We investigate the efficiency different SIMD-vectorized implementations RabbitCT benchmark. performs 3D image reconstruction back projection, vital operation computed tomography applications. The underlying algorithm challenge because it consists, apart from streaming part, also bilinear...

We explore the quantum dynamics of a bright matter-wave soliton in quasi-one-dimensional bosonic superfluid with attractive interactions. Specifically, we focus on dissipative forces experienced by due to its interaction Bogoliubov excitations. Using collective coordinate approach and Keldysh formalism, Langevin equation motion for is derived from first principle. The contains stochastic force (associated noise) non-local time force, which appears inelastic scattering quasiparticles off...

By means of high-resolution electron energy loss spectroscopy, we investigate the low-energy excitation spectrum transition-metal monopnictides hosting Weyl fermions. We observe gapped plasmonic modes in (001)-oriented surfaces single crystals NbAs and TaAs at 66 68 meV, respectively. Our findings are consistent with theory estimate an effective Coulomb interaction strength ${\ensuremath{\alpha}}_{\mathrm{eff}}\ensuremath{\approx}0.41$ for both samples. also demonstrate that modification...

We compute the virial coefficients, contact parameters, and momentum distribution of a strongly interacting three-dimensional Bose gas by means expansion up to third order in fugacity, which takes into account three-body correlations exactly. Our results characterize nondegenerate regime gas, where thermal wavelength is smaller than interparticle spacing but scattering length may be arbitrarily large. observe rapid variation coefficient as tuned across three-atom atom-dimer thresholds. The...

We show that rotating two-dimensional Fermi gases possess a nonrelativistic scale and conformal invariance at weak but nonzero interactions, where the of universal short-range interactions is not yet broken by quantum effects. demonstrate symmetry in excitation spectrum few-fermion ensembles harmonic trap obtained exact diagonalization. The shown to split set primary states derived excited consist breathing modes as well two different center-of-mass excitations, which describe cyclotron...

We study the effects of strong electron-electron interactions on surface cubic topological Kondo insulators (such as samarium hexaboride, SmB$_6$). Cubic generally support three copies massless Dirac nodes surface, but only two them are energetically degenerate and exhibit an energy offset relative to third one. With a tunable chemical potential, when states host electron hole pockets comparable size, may drive this system into rotational symmetry breaking nematic translational symmetric...

We determine the hydrodynamic modes of superfluid analog a smectic-A phase in liquid crystals, i.e., state which both gauge invariance and translational along single direction are spontaneously broken. Such smectic provides an idealized description incommensurate supersolid realized Bose-Einstein condensates with strong dipolar interactions as well stripe Bose gases spin-orbit coupling. show that presence finite normal fluid density ground these systems gives rise to well-defined...

We use the operator product expansion to derive exact results for momentum distribution and static structure factor at high a jellium model of electrons in both two three dimensions. It is shown that independent precise state Coulomb system arbitrary temperatures, asymptotic behavior power law momentum, whose strength determined by contact value pair function $g(0)$. The power-law tails are quantum effects which vanish classical limit $\hbar \to 0$. A leading order virial shows...