Self-organized electronic superlattices in layered materials

Abstract

We show that in layered systems with electronic phase separation tendency, the long-range Coulomb interaction can drive the spontaneous formation of unidirectional superlattices of electronic charge in a completely homogeneous crystalline background. In this self-organized electronic heterostructure, the ratio among the number of crystalline planes in the minority and majority electronic phases corresponds to Farey fractions with the superlattice period controlled by the background charge density and the frustrating Coulomb interaction strength. The phase diagram displays Arnold tongues obeying a modified Farey tree hierarchy and a devil's staircase typical of systems with frustration among different scales. We further discuss the competition of these electronic superlattices, recently observed in iron-based superconductors and mixed valence compounds, with in-plane electronically modulated phases.

arXiv comment5 pages, 4 figures

References in corpus (27)

• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge order driven by Fermi-arc instability in Bi2201
• Semiconductor Superlattices: A model system for nonlinear transport
• Singular quasiparticle scattering in the proximity of charge instabilities
• Spatially modulated "Mottness" in La2-xBaxCuO4
• Microwave imaging of mesoscopic percolating network in a manganite thin film
• Electronic phase separation in the slightly underdoped iron pnictide superconductor Ba(1-x)K(x)Fe(2)As(2)
• A quantum phase transition from triangular to stripe charge order in NbSe${}_2$
• Phase Locking, Devil's Staircases, Farey Trees, and Arnold Tongues in Driven Vortex Lattices with Periodic Pinning
• Non-Fermi-liquid behavior and d-wave superconductivity near the charge-density-wave quantum critical point
• Intrinsic Inhomogeneities in Manganite Thin Films Investigated with Scanning Tunneling Spectroscopy
• NMR Study in the Iron-Selenide Rb0.74Fe1.6Se2: Determination of the Superconducting Phase as Iron Vacancy-Free Rb0.3Fe2Se2
• Charge order in LuFe2O4: an unlikely route to ferroelectricity
• Anomalous isotopic effect near the charge-ordering quantum criticality
• Neutron diffraction study of stripe order in La(2)NiO(4+d) with d=2/15
• A model for the phase separation controlled by doping and the internal chemical pressure in different cuprate superconductors
• Nanoscale layering of antiferromagnetic and superconducting phases in Rb2Fe4Se5
• Avoided Critical Behavior in O(n) Systems
• Intrinsic instability of electronic interfaces with strong Rashba coupling
• The "devil's staircase" type phase transition in NaV2O5 under high pressure
• Phase diagram for Coulomb-frustrated phase separation in systems with negative short-range compressibility
• Frustrated phase separation in two-dimensional charged systems
• Electronic phase separation in iron pnictides
• Phase separation in the vicinity of "quantum critical" doping concentration: implications for high temperature superconductors