Landau-Ginzburg theory of charge density wave formation accompanying lattice and electronic long-range ordering

Abstract

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.

arXiv comment40 pages, 5 figures, Appendix with 7 figures

References in corpus (27)

• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Theory of Intertwined Orders in High Temperature Superconductors
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Light-Induced Charge Density Wave in LaTe${}_3$
• Concepts relating magnetic interactions, intertwined electronic orders and strongly correlated superconductivity
• Pinning and Sliding of Driven Elastic Systems: from Domain Walls to Charge Density Waves
• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Elastic effects of vacancies in strontium titanate: Short- and long-range strain fields, elastic dipole tensors, and chemical strain
• Interfacial Polarization and Pyroelectricity in Antiferrodistortive Structures Induced by a Flexoelectric Effect and Rotostriction
• Thermodynamics of Electromechanically-Coupled Mixed Ionic-Electronic Conductors: Deformation potential, Vegard strains and Flexoelectric effect
• The self-organised phases of manganites
• Charge-stripe order in the electronic ferroelectric LuFe2O4
• Enhanced charge density wave coherence in a light-quenched, high-temperature superconductor
• Pair Density Waves in Superconducting Vortex Halos
• Emergence of a Dynamic Super-Structural Order Integrating Antiferroelectric and Antiferrodistortive Competing Instabilities in EuTiO3
• Ferroelectric enhancement of superconductivity in compressively strained SrTiO${}_3$ films
• Vestigial nematicity from spin and/or charge order in the cuprates
• Universal emergence of spatially-modulated structures induced by flexo-antiferrodistortive coupling in multiferroics
• Stability of Quantum Critical Points in the Presence of Competing Orders
• Labyrinthine domains in ferroelectric nanoparticles: a manifestation of gradient-driven morphological transition
• Can we trust the temperature - misfit strain thin film phase diagrams?
• Flexo-induced ferroelectricity in low dimensional transition metal dichalcogenides
• Fragile superconductivity in the presence of weakly disordered charge density waves
• Correlation between corrugation-induced flexoelectric polarization and conductivity of low-dimensional transition metal dichalcogenides
• Universal mechanism of discontinuity of commensurate-incommensurate transitions in three-dimensional solids: Strain dependence of soliton self-energy
• Mesoscopic structure of mixed type domain walls in multiaxial ferroelectrics
• The maximal superconductivity in proximity to charge density wave quantum critical point in Cu${}_x$TiSe${}_2$

Cited by in corpus (1)

• Interplay between atomic fluctuations and charge density waves in La${}_{2-x}$Sr${}_x$CuO${}_4$