论文标题
Landau-Ginzburg电荷密度波的形成理论伴随晶格和电子远程顺序
Landau-Ginzburg theory of charge density wave formation accompanying lattice and electronic long-range ordering
论文作者
论文摘要
我们提出了一个与晶格和电子远程阶阶参数相连的电荷密度波的分析性兰道 - 金金堡理论。远程顺序的示例包括超导库珀对的电子波函数，结构扭曲，电化极化和磁化。我们将Landau-Ginzburg的自由能密度作为功率扩展，相对于电荷密度和其他远程订单参数及其空间梯度以及生物偶联耦合项。我们在电荷密度梯度和远程顺序参数以及远程阶阶参数的非线性较高梯度之间引入了双Quadratic耦合。生物级别梯度耦合对于在电荷级铁和高温超导体中的不同空间调节相的外观至关重要。我们得出了空间调节相的稳定性的热力学条件，后者是电荷密度和晶格/电子远程阶的相互交织的空间波。在这项工作中获得的不同阶段能量，相应的阶参数，电荷密度波幅度和调制期的分析表达式可用于指导对量子级的量子材料到高质量的量子材料的实验数据的全面物理解释，反证明和贝叶斯分析。
We propose an analytical Landau-Ginzburg theory of the charge density waves coupled with lattice and electronic long-range order parameters. Examples of long-range order include electronic wave function of superconducting Cooper pairs, structural distortions, electric polarization, and magnetization. We formulate the Landau-Ginzburg free energy density as power expansion with respect to the charge density and other long-range order parameters, as well as their spatial gradients, and biquadratic coupling terms. We introduced a biquadratic coupling between the charge density gradient and long-range order parameters, as well as nonlinear higher gradients of the long-range order parameters. The biquadratic gradient coupling is critical to the appearance of different spatially-modulated phases in charge-ordered ferroics and high-temperature superconductors. We derived the thermodynamic conditions for the stability of the spatially-modulated phases, which are the intertwined spatial waves of charge density and lattice/electronic long-range order. The analytical expressions for the energies of different phases, corresponding order parameters, charge density waves amplitudes and modulation periods, obtained in this work, can be employed to guide the comprehensive physical explanation, deconvolution and Bayesian analysis of experimental data on quantum materials ranging from charge-ordered ferroics to high-temperature superconductors.
