Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of one- and two-dimensional lattices

F. Iachello; B. Dietz; M. Miski-Oglu; A. Richter

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Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of one- and two-dimensional lattices

机译：晶体振动的代数理论：一维和二维晶格振动中的奇异点和零点

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A novel method for the calculation of the energy dispersion relation and density of states (DOS) in one (1D) and two (2D) dimensions is introduced and applied to linear lattices (1D) and square and hexagonal lattices (2D). The (van Hove) singularities and (Dirac) zeros of the DOS are discussed. Results for the 2D hexagonal lattice (graphenelike materials) are compared with experimental data in microwave photonic crystals.

机译：介绍了一种计算一维（1D）和二维（2D）维的能量色散关系和状态密度（DOS）的新颖方法，并将其应用于线性晶格（1D）和正方形和六角形晶格（2D）。讨论了DOS的（van Hove）奇异性和（Dirac）零。将二维六角形晶格（石墨烯状材料）的结果与微波光子晶体中的实验数据进行比较。

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来源
《Physical review》 |2015年第21期|214307.1-214307.14|共14页
作者
F. Iachello; B. Dietz; M. Miski-Oglu; A. Richter;
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作者单位

Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520-8120, USA;

Institut fuer Kernphysik, Technische Universitaet Darmstadt, D-64289 Darmstadt, Germany;

Institut fuer Kernphysik, Technische Universitaet Darmstadt, D-64289 Darmstadt, Germany;

Institut fuer Kernphysik, Technische Universitaet Darmstadt, D-64289 Darmstadt, Germany;

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正文语种 eng
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electromagnetic wave propagation; radiowave propagation; algebraic methods; anharmonic lattice modes;

机译：电磁波传播无线电波传播;代数方法非调和晶格模;

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3. Optical control over two-dimensional lattice vibrational trajectories in crystalline quartz [J] . Wefers MM., Nelson KA., Kawashima H. The Journal of Chemical Physics . 1998,第24期

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7. Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of 1D and 2D lattices [O] . Iachello, F., Dietz, B., Miski-Oglu, M., 2015

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8. THEORY OF THE VIBRATIONS OF DISORDERED CRYSTAL LATTICES [R] . Alexei Maradudin, George H. Weiss 1956

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Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of one- and two-dimensional lattices

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