Constraints on Jones transmission matrices from time-reversal invariance and discrete spatial symmetries

Armitage, N. P.

doi:10.1103/physrevb.90.035135

Cited by 61 publications

(55 citation statements)

References 92 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, for all reciprocal materials and excluding any nonlinear effects, the Jones matrix in backward propagation direction corresponds to the transpose of the Jones transmission direction in forward direction [62]. Therefore, polarizationconserving transmittances, that is, the diagonal elements of the Jones transmission matrix, are identical for forward and backward propagation.…”

Section: Circular Polarization Convertermentioning

confidence: 99%

Optical and Infrared Helical Metamaterials

Kaschke

Wegener

2016

Nanophotonics

View full text Add to dashboard Cite

By tailoring metamaterials with chiral unit cells, giant optical activity and strong circular dichroism have been achieved successfully over the past decade. Metamaterials based on arrays of metal helices have revolutionized the field of chiral metamaterials, because of their capability of exhibiting these pronounced chiro-optical effects over previously unmatched bandwidths. More recently, a large number of new metamaterial designs based on metal helices have been introduced with either optimized optical performance or other chiro-optical properties for novel applications. The fabrication of helical metamaterials is, however, challenging and even more so with growing complexity of the metamaterial designs. As conventional two-dimensional nanofabrication methods, for example, electron-beam lithography, are not well suited for helical metamaterials, the development of novel three-dimensional fabrication approaches has been triggered. Here, we will discuss the theory for helical metamaterials and the principle of operation. We also review advancements in helical metamaterial design and their limitations and influence on optical performance. Furthermore, we will compare novel nano-and microfabrication techniques that have successfully yielded metallic helical metamaterials. Finally, we also discuss recently presented applications of helical metamaterials extending beyond the use of far-field circular polarizers.

show abstract

Section: Circular Polarization Convertermentioning

confidence: 99%

Optical and Infrared Helical Metamaterials

Kaschke

Wegener

2016

Nanophotonics

View full text Add to dashboard Cite

show abstract

“…Such a high degree of symmetry may not be compatible with any lattice distortion caused by atomic displacements. In this case, it will be difficult to detect the electronic gyrotropic order with conventional methods [19][20][21][22].…”

Section: Prl 115 026401 (2015) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

Parity-Breaking Phases of Spin-Orbit-Coupled Metals with Gyrotropic, Ferroelectric, and Multipolar Orders

Fu¹

2015

Phys. Rev. Lett.

145

View full text Add to dashboard Cite

We study Fermi liquid instabilities in spin-orbit-coupled metals with inversion symmetry. By introducing a canonical basis for the doubly degenerate Bloch bands in momentum space, we derive the general form of Landau interaction functions. A variety of time-reversal-invariant, parity-breaking phases is found, whose Fermi surface is spontaneously deformed and spin split. In terms of symmetry, these phases possess gyrotropic, ferroelectric, and multipolar orders. The ferroelectric and multipolar phases are accompanied by structural distortions, from which the electronic orders can be identified. The gyrotropic phase exhibits a unique nonlinear optical property. We identify correlated electron materials that exhibit these parity-breaking phases, including Novel physics from strong spin-orbit coupling in quantum materials is currently attracting widespread interest across many disciplines in condensed matter physics. In particular, there is now an intensive investigation of the interplay between spin-orbit coupling and electron correlation in d-orbital and f-orbital systems [1][2][3]. The majority of studies have been focused on correlated band or Mott insulators, whereas spin-orbit coupling in correlated metals has received less attention. It is well known that spin-orbit coupling in metals without inversion symmetry generates spin-split energy bands and spin-polarized Fermi surfaces [4]. This has interesting consequences in the presence of electron-electron interactions [5][6][7][8][9][10][11]. In contrast, in metals with inversion and time-reversal symmetry, Bloch bands are doubly degenerate everywhere in momentum space. The effect of spin-orbit coupling is more subtle: it leads to spin-orbit-entangled Bloch wave functions, which have different spin polarizations on different atomic orbitals [12,13]. For this reason, the importance of spin-orbit coupling in inversion-symmetric materials can be easily overlooked.In this Letter, we explore the consequences of having both strong spin-orbit coupling and electron interaction in metals with inversion symmetry. By generalizing Landau's Fermi liquid theory to spin-orbit-coupled metals, we theoretically predict a variety of new ordered phases resulting from Pomeranchuk-type instabilities in the spin channel [14], which spontaneously break inversion symmetry. These phases can be regarded as new examples of electronic liquid crystals [15], which preserve the translational invariance and break the point group symmetry of the lattice. Importantly, because of the spin-orbit coupling, these phases exhibit spin-split Fermi surfaces with characteristic spin textures, and the onset of electronic paritybreaking orders is generally accompanied by structural changes. We focus on three different parity-breaking phases having the symmetry of ferroelectric, a multipolar and an isotropic gyrotropic liquid, respectively, and identify their realizations in correlated electron materials.Landau's Fermi liquid theory of metals starts from Bloch states on the Fermi surface. In the presence of ...

show abstract

“…The complex transmission is represented by a 2 × 2 Jones matrix. Because of the threefold rotational symmetry of the lattice, this reduces to an antisymmetric matrix for the transmission of a linearly polarized pulse [70]. By diagonalizing this antisymmetric matrix, we can convert the transmission matrix from the linear basis into a circular basis (see SM Sec.…”

Section: B Analysis Of the Tdts Datamentioning

confidence: 99%

Hierarchy of Exchange Interactions in the Triangular-Lattice Spin Liquid YbMgGaO4

et al. 2018

View full text Add to dashboard Cite

The spin-1=2 triangular lattice antiferromagnet YbMgGaO 4 has attracted attention recently as a quantum spin-liquid candidate with the possible presence of off-diagonal anisotropic exchange interactions induced by spin-orbit coupling. Whether a quantum spin liquid is stabilized or not depends on the interplay of various exchange interactions with chemical disorder that is inherent to the layered structure of the compound. We combine time-domain terahertz spectroscopy and inelastic neutron scattering measurements in the field-polarized state of YbMgGaO 4 to obtain better insight of its exchange interactions. Terahertz spectroscopy in this fashion functions as a high-field electron spin resonance and probes the spin-wave excitations at the Brillouin zone center, ideally complementing neutron scattering. A global spin-wave fit to all our spectroscopic data at fields over 4 T, informed by the analysis of the terahertz spectroscopy linewidths, yields constraints on the disorder-averaged g factors and exchange interactions. Our results paint YbMgGaO 4 as an easy-plane XXZ antiferromagnet with the combined and necessary presence of subleading next-nearest neighbor and weak anisotropic off-diagonal nearest-neighbor interactions. Moreover, the obtained g factors are substantially different from previous reports. This work establishes the hierarchy of exchange interactions in YbMgGaO 4 from high-field data alone and thus strongly constrains possible mechanisms responsible for the observed spin-liquid phenomenology.

show abstract

Constraints on Jones transmission matrices from time-reversal invariance and discrete spatial symmetries

Cited by 61 publications

References 92 publications

Optical and Infrared Helical Metamaterials

Optical and Infrared Helical Metamaterials

Parity-Breaking Phases of Spin-Orbit-Coupled Metals with Gyrotropic, Ferroelectric, and Multipolar Orders

Hierarchy of Exchange Interactions in the Triangular-Lattice Spin Liquid YbMgGaO4

Contact Info

Product

Resources

About