Topic
Symmetry (physics)
About: Symmetry (physics) is a research topic. Over the lifetime, 26435 publications have been published within this topic receiving 500189 citations. The topic is also known as: symmetry (physics) & physical symmetry.
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TL;DR: In this paper, the renormalization-group equations describing all the short-range interactions in bilayer graphene allowed by symmetry, the long-range Coulomb interaction, and band-structure parameters were derived.
Abstract: We derive the renormalization-group equations describing all the short-range interactions in bilayer graphene allowed by symmetry, the long-range Coulomb interaction, and band-structure parameters. For certain range of parameters, we predict the first-order phase transition to the uniaxially deformed gapless state accompanied by the change in the topology of the electron spectrum.
132 citations
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TL;DR: In this paper, the Herring-Vogt approximate solution to the Boltzmann equation is used, which is accurate if the resulting relaxation-time tensor components do not differ by more than a factor of two or so.
Abstract: The theory of the scattering of electrons by acoustic modes in piezoelectric semiconductors is generalized so as to properly take account of the anisotropic scattering probability. The Herring-Vogt approximate solution to the Boltzmann equation is used, which is accurate if the resulting relaxation-time tensor components do not differ by more than a factor of two or so. The other main simplifying assumption consists of treating the frequencies and polarizations of the acoustic modes by a simple approximation. The theory is applied to three symmetry classes of known piezoelectric semiconductors: zincblende and wurtzite symmetry (as typified by the III-V and II-VI compounds) and $\ensuremath{\alpha}$-quartz symmetry (as typified by selenium and tellurium). The electron mobility anisotropy calculated for CdS (based on the measured electroelastic properties and cyclotron-resonance masses) agrees quite well with the value deduced from experiment.
132 citations
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TL;DR: In this paper, the authors consider the metastable N = 1 QCD model of Intriligator, Seiberg and Shih (ISS), deformed by adding a baryon term to the superpotential.
132 citations
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01 Jan 1990
TL;DR: In this paper, some qualitative properties of semilinear elliptic equations in cylindrical domains are discussed. And the behavior at infinity of solutions of semi-linear ellipses in infinite cylinders is governed by some exponential solutions.
Abstract: Publisher Summary This chapter explains some qualitative properties of semilinear elliptic equations in cylindrical domains. In studying differential equations, it is often of interest to know if the solutions have symmetry, or monotonicity, in some direction. Using results of boundary conditions, monotonicity, symmetry properties, and uniqueness for some solutions in an infinite cylinder are established. When using the method of moving planes in all of space to prove monotonicity and symmetry, the asymptotic behavior of the solution near infinity is used to start the procedure. The behavior at infinity of solutions of semi-linear elliptic equations in infinite cylindrical domains is governed by some exponential solutions.
132 citations
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TL;DR: In this article, a correlation between the density derivative of the nuclear symmetry energy at saturation and the ratio of the bulk symmetry energy $J$ to the so-called surface stiffness coefficient $Q$ has in the droplet model a prominent role in driving the size of neutron skins.
Abstract: We analyze the neutron skin thickness in finite nuclei with the droplet model and effective nuclear interactions. The ratio of the bulk symmetry energy $J$ to the so-called surface stiffness coefficient $Q$ has in the droplet model a prominent role in driving the size of neutron skins. We present a correlation between the density derivative of the nuclear symmetry energy at saturation and the $J/Q$ ratio. We emphasize the role of the surface widths of the neutron and proton density profiles in the calculation of the neutron skin thickness when one uses realistic mean-field effective interactions. Next, taking as experimental baseline the neutron skin sizes measured in 26 antiprotonic atoms along the mass table, we explore constraints arising from neutron skins on the value of the $J/Q$ ratio. The results favor a relatively soft symmetry energy at subsaturation densities. Our predictions are compared with the recent constraints derived from other experimental observables. Though the various extractions predict different ranges of values, one finds a narrow window $L~45\text{\ensuremath{-}}75$ MeV for the coefficient $L$ that characterizes the density derivative of the symmetry energy that is compatible with all the different empirical indications.
131 citations