Low-symmetry nonlocal transport in microstructured squares of delafossite metals

McGuinness, Philippa H.; Zhakina, Elina; König, Markus; Bachmann, Maja D.; Putzke, Carsten; Moll, Philip J. W.; Khim, Seunghyun; Mackenzie, A. P.

doi:10.1073/pnas.2113185118

Cited by 15 publications

(4 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The kinetic theory model of transport (including boundary conditions on the channel) is described in [16]; since we used this model exactly as written in [16], we will not reproduce the technical details here. We also note that a similar effect has been seen in a recent experiment on PdCoO 2 [37]; note that PdCoO 2 has an approximately hexagonal Fermi surface, and the experiment was done in a more complicated geometry.…”

Section: Nonuniqueness Of the Hall Voltage Signalsupporting

confidence: 82%

See 1 more Smart Citation

Hydrodynamics with triangular point group

2023

View full text Add to dashboard Cite

When continuous rotational invariance of a two-dimensional fluid is broken to the discrete, dihedral subgroup D_6D6 - the point group of an equilateral triangle - the resulting anisotropic hydrodynamics breaks both spatial-inversion and time-reversal symmetries, while preserving their combination. In this work, we present the hydrodynamics of such D_6D6-symmetric fluids, identifying new symmetry-allowed dissipative terms in the hydrodynamic equations of motion. We propose two experiments - both involving high-purity solid-state materials with D_6D6-invariant Fermi surfaces - that are sensitive to these new coefficients in a D_6D6-invariant electron fluid. In particular, we propose a local current imaging experiment (which is present-day realizable with nitrogen vacancy center magnetometry) in a hexagonal device, whose D_6D6-exploiting boundary conditions enable the unambiguous detection of these novel transport coefficients.

show abstract

Section: Nonuniqueness Of the Hall Voltage Signalsupporting

confidence: 82%

“…show that inversion-breaking effects are not as effectively probed by simpler, more conventional Hall-effect experiments in narrow channels [37] . Finally, in Sec.…”

Section: Irreducible Representationsmentioning

confidence: 95%

Hydrodynamics with triangular point group

2023

View full text Add to dashboard Cite

show abstract

“…Due to the D 6 -exploiting geometry of the proposed device boundary conditions, a current signal will appear only when the hydrodynamic theory is invariant under D 6 , but not any larger point group (such as the point group of a hexagon, D 12 ). In contrast, we show that inversion-breaking effects are not effectively probed by simpler, more conventional Hall effect experiments in narrow channels [37]. Finally, we confirm using kinetic theory that in microscopically plausible models of anisotropic Fermi surfaces, the new dissipative coefficients that we predict are indeed present, and that their magnitudes are not unexpectedly small.…”

Section: Introductionsupporting

confidence: 67%

Hydrodynamics with triangular point group

Friedman¹,

Cook²,

Lucas³

2022

Preprint

View full text Add to dashboard Cite

When continuous rotational invariance of a two-dimensional fluid is broken to the discrete, dihedral subgroup D 6 -the point group of an equilateral triangle-the resulting anisotropic hydrodynamics breaks both spatial-inversion and time-reversal symmetries, while preserving their combination. In this work, we present the hydrodynamics of such D 6 fluids, identifying new symmetry-allowed dissipative terms in the hydrodynamic equations of motion. We propose two experiments-both involving high-purity solid-state materials with D 6 -invariant Fermi surfaces-that are sensitive to these new coefficients in a D 6 fluid of electrons. In particular, we propose a local current imaging experiment (which is present-day realizable with nitrogen vacancy center magnetometry) in a hexagonal device, whose D 6 -exploiting boundary conditions enable the unambiguous detection of these novel transport coefficients.

show abstract

“…Our methods are practically adaptable to many classes of 2D materials with anisotropic Fermi surfaces. Promising candidates include the ultra-pure delafossite like PdCoO 2 [44,64,109]. In practice, the nonzero dispersion perpendicular to the hexagonally coordinated Pd layers has to be taken into account, to provide an accurate description of the non-local electrodynamics of PdCoO 2 , as probed through surface-resistance microwave measurements [92].…”

Section: Discussionmentioning

confidence: 99%

Kinetic theory of the non-local electrodynamic response in anisotropic metals: skin effect in 2D systems

Valentinis¹,

Baker²,

Bonn³

et al. 2022

Preprint

View full text Add to dashboard Cite

The electrodynamic response of ultra-pure materials at low temperatures becomes spatially non-local. This non-locality gives rise to phenomena such as hydrodynamic flow in transport and the anomalous skin effect in optics. In systems characterized by an anisotropic electronic dispersion, the non-local dynamics becomes dependent on the relative orientation of the sample with respect to the applied field, in ways that go beyond the usual, homogeneous response. Such orientational dependence should manifest itself not only in transport experiments, as recently observed, but also in optical spectroscopy. In this paper we develop a kinetic theory for the distribution function and the transverse conductivity of two-and three-dimensional Fermi systems with anisotropic electronic dispersion. By expanding the collision integral into the eigenbasis of a collision operator, we include momentum-relaxing scattering as well as momentum-conserving collisions. We examine the isotropic 2D case as a reference, as well as anisotropic hexagonal and square Fermi-surface shapes. We apply our theory to the quantitative calculation of the skin depth and the surface impedance, in all regimes of skin effect. We find qualitative differences between the frequency dependence of the impedance in isotropic and anisotropic systems. In the latter case, we study the orientational dependence of skin effect, thus providing guidance for the experimental study of non-local optical effects.

show abstract

Low-symmetry nonlocal transport in microstructured squares of delafossite metals

Cited by 15 publications

References 51 publications

Hydrodynamics with triangular point group

Hydrodynamics with triangular point group

Hydrodynamics with triangular point group

Kinetic theory of the non-local electrodynamic response in anisotropic metals: skin effect in 2D systems

Contact Info

Product

Resources

About