Noise Predictions for STM in Systems with Local Electron Nematic Order

Abstract

We propose that thermal noise in local stripe orientation should be readily detectable via STM on systems in which local stripe orientations are strongly affected by quenched disorder. Stripes, a unidirectional, nanoscale modulation of electronic charge, are strongly affected by quenched disorder in two-dimensional and quasi-two-dimensional systems. While stripe orientations tend to lock to major lattice directions, dopant disorder locally breaks rotational symmetry. In a host crystal with otherwise $C_4$ rotational symmetry, stripe orientations in the presence of quenched disorder map to the random field Ising model. While the low temperature state of such a system is generally a stripe glass in two dimensional or strongly layered systems, as the temperature is raised, stripe orientational fluctuations become more prevalent. We propose that these thermally excited fluctuations should be readily detectable in scanning tunneling spectroscopy as {\em telegraph noise} in the high voltage part of the local $I(V)$ curves. We predict the spatial, temporal, and thermal evolution of such noise, including the circumstances under which such noise is most likely to be observed. In addition, we propose an in-situ test, amenable to any local scanning probe, for assessing whether such noise is due to correlated fluctuations rather than independent switchers.

8 pages, 8 figures

References in corpus (6)

• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Quasi-particle interference and superconducting gap in a high-temperature superconductor Ca2-xNaxCuO2Cl2
• Distinguishing Patterns of Charge Order: Stripes or Checkerboards
• From stripe to checkerboard order on the square lattice in the presence of quenched disorder
• Evidence for Charge Glass-like Behavior in Lightly Doped La_{2-x}Sr_{x}CuO_{4} at Low Temperatures
• Resistance noise in Bi_2Sr_2CaCu_2O${}_{8+\delta }$

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• Short-range nematic fluctuations in Sr1-xNaxFe2As2 superconductors
• Classification of electronic nematicity in three-dimensional crystals and quasicrystals
• Random-strain-induced correlations in materials with intertwined nematic and magnetic orders
• Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
• Deep Learning Hamiltonians from Disordered Image Data in Quantum Materials
• Compatible Instability: Gauge Constraints of Elasticity Inherited by Electronic Nematic Criticality