- Metasurfaces, built up from spatial arrays of dielectric (or sometimes semiconductor or plasmonic) resonators called "meta-atoms", have matured into very impressive, versatile tools. In her plenary talk, Ruwen Peng from Nanjing showcased different approaches, combining angularly rotated meta-atoms ("Pencharatnam-Berry") and size-modulated meta-atoms. The result can produce polarization-entangled photon beams, entangle photon spin and orbital angular momentum for quantum key distribution, and do full entanglement distribution over many channels. Similarly, Federico Capasso gave a very impressive talk about the progress in the field, from visible wavelength flat optics ten years ago to compact platforms for sophisticated quantum tomography.
- Nikolay Zheludev gave a great overview about combining measurements + machine learning estimators (e.g., here) to achieve effective optical resolution far better than conventional limits. This can be used to make optics-base estimates of nanowire lateral displacements down to the 100 pm level, for example. Rather than looking at the flow of energy in an optical imaging system, one can look at the flow of Fisher information regarding the object being imaged.
- There were a series of talks throughout the meeting about chirality of optical scattering, what this means, and what it can lead to (including enantiomer-selective imaging and chemistry). Note that it's important to distinguish between intrinsic chirality (e.g., the object scattering the light has a real structural handedness), extrinsic chirality (the object scattering the light is not chiral, but the experimental arrangement to do and measure the scattering introduces chirality into the measurement), and chirality in the fields themselves (think swirling Poynting vectors locally) that don't necessarily extend to the far field. There are some neat probes of local effects, like this use of local polymerization.
- Roman Quidant gave a talk about metalenses that are also optomechanical structures (e.g., use a pump beam to excite mechanical deformation of the metalens to steer the focus of a probe beam). This lets you do some pretty neat things, like control the sign of optical forces by dynamically tuning the relative importance of momentum transfer (pushing objects with light by direct momentum kick from photons) and polarization forces (the classical optical tweezer situation where polarizable objects "seek" regions of high intensity). This can enable feedback control to do optical cooling of trapped, levitated particles, potentially down to the quantum level.
- Alessandra Boltasseva presented a variety of recent advances, including a look at how plasmonic ceramics like TiN and HfN have properties that can be dramatically tuned as their thickness gets down to the few-unit-cell level, a regime she and collaborators term "transdimensional" (to distinguish from atomically thin 2D van der Waals materials). The possibility of Wigner crystallization in such systems is exciting, though disorder is a likely complication.
Jeremy Baumberg talked about building metamaterials out of molecularly-spaced nanoparticles, and how this has opened up real opportunities for chemical sensing based on surface-enhanced Raman and infrared absorption, as in this example. Neat stuff.A 4-channel wavelength division multiplexer
made from etched Si3N4, from this paper.- There were multiple talks about metasurfaces for nonlinear optics, including one by Igal Brener on cool ways to use GaAs metasurfaces to produce entangled photon pairs via bound states in the continuum.
- Likewise, there were a number of presentations about inverse design, where computational tools are used to produce very funky looking structures which can act as, e.g., multichannel routers of optical signals. Jelena Vuckovic presented an overview of this, showing how it can be done at scale to produce a chip that acts as a 1 TB/s optical router. Structures produced this way always seem to me like some kind of eldritch geometry out of HP Lovecraft (see figure), but they work.
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Saturday, July 18, 2026
A few optics/metamaterials highlights from META 2026
Tuesday, July 14, 2026
Bad to worse at NSF? (July 2026 edition)
When I wrote this post last month, I really did not want it to be first in a series.
The inciting incident to write that post was a news article in Science reporting that there have been draconian ~ 30% cuts in present fiscal year budgets within the NSF. Program officers were instructed to keep this confidential and not talk about it with PIs. The rumor was that this funding would go to support the TIP directorate and its activities, particularly the "X-Labs".
Now Dan Garisto has broken this story in Nature. For some, this is behind a paywall, so let me hit the highlights.
- "NSF staff members — who asked to remain anonymous out of fear of retaliation — and an internal NSF ledger seen by Nature suggest that the NSF plans to claw back around US$500 million that has already been distributed to grant-making divisions. "
- "Several NSF staff members told Nature that at least some of the funds will be funnelled to another project, a brainchild of the White House OSTP."
- "Even though programme officers have less to spend than they had expected, those who spoke to Nature are unsure how many new grants will make it out the door. “They could make it through if the process is allowed to work without interference or interruption,” one staff member says. But most of “the process is now a black box and unpredictable”. "
- "NSF staff members estimate that if the withdrawals are finalized, hundreds more proposals that have been recommended for funding across the engineering, computer and information science and engineering, and maths and physical science directorates would need to be sent back to programme officers for revision. Some proposals would be held until a later date when funds are available. Others would have their budgets reduced, and some would simply be declined."
- "Staff members say that they are frustrated by the planned diversion of funds and the lack of communication about the agency’s spending. “We don’t know where the money’s going or what’s going on,” says one staff member. Programme officers are not allowed to pass on what they know to researchers. “We cannot communicate to the community at all. We’re forbidden.”"
Monday, July 06, 2026
OMB proposed rule changes - act now
For non-US folks, feel free to skip.
For US folks: The Office of Management and Budget, which for much of its history has been a comparatively uncontroversial element of the executive branch, has set rules and guidelines for how many executive-branch agencies conduct business and interact with, e.g., universities. For the purposes of how the research ecosystem operates, the most relevant is OMB's "Uniform Guidance" about how grants and contracts work. Periodically these rules are updated for various reasons, including the goals and policies of the presidential administration. The standard way this works is that the proposed changes are published in the Federal Register; there is a public comment period; OMB makes revisions and then publishes the new rules. In principle, Congress can act to override or prevent rule changes, but without the agreement of the President, this is an extremely challenging path.
OMB has proposed sweeping changes to the Uniform Guidance, summarized here. These proposed rule changes are huge deviations from previous practice. For example, they would have all final grant decisions made by political appointees or hires of the executive branch (rather than, e.g., agency subject matter experts); grants could be cancelled at any time for essentially any reason (completely undefined insufficient support of the president's priorities), with no appeal process; international collaborations would be severely curtailed. That's just three for starters. Note that this would also go beyond just the public research enterprise - it would allow the executive branch to cancel funding for things like bridges, roads, schools, agriculture, etc. for undefined political reasons. It would be a huge transfer of power from Congress to the presidency. Here is another summary by the AAU. Here is an editorial essay from ars technica.
The public comment period on this runs until July 13. Here is a link where you can make a comment. Here is a guide for how to be effective at this from Stand Up for Science. The APS has a tool for helping people to comment about specific aspects of the rule changes. It is also a good idea to contact congressional delegations (representatives, senators).
It's important to have a clear public record about the proposed changes. They may try to implement these regardless, but if so, there will be a continued fight over this in Congress and through the courts.
Friday, June 26, 2026
Some science/tech items - scrolls, nanostacks, and beyond
Some brief science and technology items heading into the weekend:
- IBM has reported making prototype chips for the "0.7 nm node". As always, one should not interpret that size scale literally, since the effective diameter of a single silicon atom is around 0.2 nm. The basic building block of their architecture here is the nanostack, which is a limiting case, somewhat 3D-integrated version of their nanosheet "gate all around" field effect transistors. The fact that these structures can be made at this scale, reliably and en masse, is just phenomenal.
- I'd written previously about the Vesuvius Challenge, the attempt to use a combination of x-ray tomographic imaging and machine learning to read the carbonized ancient Roman scrolls found in a villa in Herculaneum, where they had been buried by the pyroclastic flow from the eruption in 79CE. Well, they've managed to read a complete scroll - here's the preprint. Very cool, and the hope is that among those scrolls might be books believed lost to history.
- At the beginning of the month, Microsoft unveiled the next iteration of their approach to implementing topological qubits based on superconductor/semiconductor hybrid devices, as described here. The relevant preprint is this one. Some reporting on this is here. This week, Nature published a comment on the prior work as well as the reply.
- There has been an explosion of research in recent years about trying to use electromagnetic cavities to tune the physical properties of condensed matter systems. I'd discussed this here. In the last couple of weeks, this preprint appeared, reporting that placing few-layer NbSe2 in an appropriate (THz) cavity can increase the superconducting transition temperature from 3.02 K to 3.41 K. A 13% increase in \(T_{\mathrm{c}}\) is certainly interesting.
- The incoming president of the National Academy of Sciences has a nice statement in Science. The key passage for me: "By its charter, the Academy is nonpartisan and neither a progressive organization nor a conservative one. It is a scientific body that follows the evidence wherever it leads, even when the destination might be unwelcome. In heated and polarized discourse, it is the Academy’s obligation to be the most careful and trustworthy voice. But rigorous science that arrives too late, or speaks too quietly, serves no one."
Monday, June 22, 2026
Bad to worse at NSF? (June 2026 edition)
This is a funding trajectory that has not been seen since the 1970s. Now, because of budget uncertainties and disruptions last year, there was a big burst of activity late in FY25, and eventually the NSF did end up spending about what it was budgeted. I spoke with one program officer at NSF last month who said that they fully intended to get there again this year, even if it meant he didn't have a vacation until September.
Program managers would normally rush to inform potential and current grantees about such dramatic changes. But the memo tells program managers to keep their mouths shut. “This information is highly confidential,” it reads. “Please do not communicate anything to PIs [principal investigators].”
Saturday, June 20, 2026
What is weak localization?
A few days ago I wrote about localization, where waves in a medium can become trapped due to interference by scattering off disorder. This is an extremely general phenomenon that applies to light, sound, and electronic waves in solids.
Now I want to write about a phenomenon that is specific to electrons (or at least wavepackets that carry electronic charge, if we want to be very general). Rather than the completely general arguments about conductivity scaling, now we are going to consider particular sets of trajectories in the weak scattering limit.
We can define "weak" scattering here in terms of the ratio of the mean free path \(\ell\), the typical distance a wavepacket of electrons travels between being redirected by elastic scattering off disorder (vacancies, impurities, surfaces, grain boundaries), and the Fermi wavelength of the electrons, \(\lambda_{\mathrm{F}}\). If \(\ell/\lambda_{\mathrm{F}} \gg 1\), then the scattering is weak. (If you have some measurement that allows you to calculate that ratio for a given system and you find instead that you get \(\ell/\lambda_{\mathrm{F}} \ll 1\), then the disorder is so strong that the model of propagating electronic waves really fails and you have to worry about conduction by something like thermally assisted hopping between localized states.)
| Electron wavepackets scattering around a loop trajectory clockwise (red) or counterclockwise (blue). Gray circles are scattering sites. Magnetic field \(B\) is shown pointing out of the page. |
How can we tell this is really going on? We can turn on a magnetic field \(\mathbf{B} = \nabla \times \mathbf{A}\) that threads flux through the loops. As I described here, the propagating electrons then pick up an additional phase \(\delta \varphi = (q/\hbar)\int \mathbf{A}\cdot d\mathbf{r}\) as they go along a trajectory. This means that the clockwise and counterclockwise versions of the loop trajectories are now offset in phase by an amount proportional to the magnetic flux through the loop and in general no longer interfere constructively for back-scattering.
How large of loops do we need to consider? Because of inelastic interactions with other electrons, lattice vibrations, etc., the phase of the electronic waves gets scrambled on a characteristic coherence timescale \(\tau_{\phi}\), and a corresponding coherence length scale \(L_{\phi} = \sqrt{D \tau_{\phi}}\), where \(D\) is the diffusion constant for the electrons. (See here.)
The result of all this is a positive magnetoconductance (equivalently a negative magnetoresistance), since applying the magnetic field suppresses the back-scattering. The magnetic field scale over which the zero-field conductance dip gets suppressed is on the order of \(B_{c} \sim (h/e)/L_{\phi}^{2}\), though the detailed functional form of \(\delta \sigma (B)\) depends on the relative size of \(L_{\phi}\) and the sample dimensions. (See here for a key reference if you want details.) Weak localization is one of the main techniques used to infer coherence properties of metals and semiconductors. A classic review by Gerd Bergmann is here. Note that this is also closely related to the physics of universal conductance fluctuations.
(One additional point for experts. I hadn't mentioned spin or spin-orbit coupling. It turns out that in the strong spin-orbit coupling limit (\(\tau_{\mathrm{so}} \ll \tau_{\phi}\)), the accumulated phases for the time-reversed loop trajectories are no longer of the same sign, but instead are of opposite signs. The result is destructive interference for back-scattering, and therefore a negative magnetoconductance and "weak antilocalization" (WAL), where the analytic expressions for WAL differ from the WL forms by a factor of -1/2.)
Monday, June 15, 2026
What is localization?
Physicists love simplifying idealizations, and this is especially true in the physics of materials. The simplest decent model for metals, for example, is the ideal Fermi gas, where we neglect the existence of atoms entirely and just model the electrons as noninteracting particles in some box. One step up from there, the Sommerfeld model, assumes that the electrons are in a perfectly periodic crystal lattice. In both cases, the standard semiclassical approach treats the electrons as waves but basically ignores quantum interference.
Real conductors have defects that break the lattice periodicity, like vacancies, interstitials, impurities, grain boundaries, surfaces and interfaces, etc. It's natural to wonder, are there major consequences to this "disorder"? Common sense suggests that sufficiently minor or dilute disorder can't be too important. Sure, once you break the lattice symmetry, the electronic wavefunctions can't be exactly Bloch waves anymore, but if only one atom out of 10 billion is out of place, how big a deal can it be?
In the late 1970s, a number of theorists were thinking about this problem, and they came up with some impressive insights about the role of disorder, leading to the concept of localization. The key point to consider is whether the wavefunctions in the presence of disorder are delocalized (extending "to infinity", like plane waves or Bloch waves), or whether they are localized (decaying exponentially away from some origin region where their magnitude is large). This idea can apply to wavefunctions for electrons, but it can also apply to other kinds of waves, including electromagnetic waves in inhomogeneous dielectric media (think light bouncing around in a cloud).
Update: As Andrew Millis pointed out to me, the genesis of this key idea came earlier, from Phil Anderson in this 1957 paper, "Absence of Diffusion in Certain Random Lattices". Into the 1960s, Sir Nevill Mott introduced the idea of the "mobility edge" - that in a disordered system, the electronic states in the middle of a band are delocalized, but there is an energy threshold at the band edge beyond which the electronic states are localized.
A major result that came out of the resurgence of this thinking in the 1970s was the scaling theory of localization. That link points to some excellent lecture notes and a couple of youtube videos by Piet Brouwer for people interested in a more technical explanation. Intuitively, if the electronic states are exponentially localized, then making a block of material bigger should lead to the conductance of that material dropping exponentially. Alternately, if the electronic states are delocalized, making a hunk of material larger should generally increase its conductance. (Think about a piece of copper wire. Now double both the length and the diameter of the wire. The conductance \(= \sigma (\pi d^2)/(4L)\) has doubled.)
Let's call \(g(L) = G(L)/(e^2/h)\) the (dimensionless) conductance of some hunk of material of size \(L\). The question is, if you increase \(L\), what happens to \(g\)? There is a scaling function \(\beta(g) \equiv d \ln g/d \ln L\) that describes this. If \(\beta(g)\) is positive, then the system is metallic. If \(\beta(g)\) is negative, then the system is insulating in the large size limit, a situation called strong localization. The technical bit is figuring out what \(\beta(g)\) looks like. (This scaling idea had many contributors, including most famously people like Anderson and Thouless)
Remarkably, in this famous paper, the conclusion is that in 2D and 1D, any disorder at all makes \(\beta(g)\) negative. Thus the surprising conclusion is that, for this model (with no interactions), in principle there are no 2D or 1D metals. (The distance scale over which the conductance decays with increasing size is the "localization length", \(\xi\), and it could be very long. That's why seeing metal-like conduction in cm-scale gated graphene or 2D electron gas samples isn't surprising or necessarily inconsistent with this. There are many subtleties here.) In 3D, the situation depends on the actual magnitude of \(g\), where if \(g\) starts too small, the system runs away toward localization as system size is increased.
This idea, that interference of scattered waves from disorder can lead to exponentially confined waves, is called Anderson Localization. This is generic to waves in disordered media, as in this famous paper where it was demonstrated for light. By the way, you can think of localization of light as an effective cavity that confines the radiation via disorder scattering, an idea which in turn led to the random laser. Just earlier this year, people successfully demonstrated 3D Anderson localization of ultrasound.
I used google gemini to code up a toy model of Anderson localization (of light) in HTML5, where the disorder is in the form of a spatially varying index of refraction. (I used periodic boundary conditions.) If the disorder is weak (5 in toy units), all the energy dumped into the middle of the space spreads out roughly equally to fill the whole region. However, if the disorder is strong (50 in toy units), the energy of the waves is localized near the origin for long simulation times. Here is the model. (No deep claims of strict accuracy here; this was quick and dirty. To really see localization in this small play area, we'd need to \(\xi\) to be small compared to the size of the region because of the periodic boundary conditions.)
The ideas here have had a very long reach, and I'll likely write more about related physics soon.