More Like this

1. Large remnant polarization and great reliability characteristics in W/HZO/W ferroelectric capacitors

   https://doi.org/10.3389/fmats.2022.969188  

   Asapu, Shiva; Pagaduan, James Nicolas; Zhuo, Ye; Moon, Taehwan; Midya, Rivu; Gao, Dawei; Lee, Jungmin; Wu, Qing; Barnell, Mark; Ganguli, Sabyasachi; et al (August 2022, Frontiers in Materials)

   In this work, the effect of rapid thermal annealing (RTA) temperature on the ferroelectric polarization in zirconium-doped hafnium oxide (HZO) was studied. To maximize remnant polarization (2P r ), in-plane tensile stress was induced by tungsten electrodes under optimal RTA temperatures. We observed an increase in 2P r with RTA temperature, likely due to an increased proportion of the polar ferroelectric phase in HZO. The HZO capacitors annealed at 400°C did not exhibit any ferroelectric behavior, whereas the HZO capacitors annealed at 800°C became highly leaky and shorted for voltages above 1 V. On the other hand, annealing at 700 °C produced HZO capacitors with a record-high 2P r of ∼ 64 μ C cm −2  at a relatively high frequency of 111 kHz. These ferroelectric capacitors have also demonstrated impressive endurance and retention characteristics, which will greatly benefit neuromorphic computing applications. 

   more » « less
2. W-ALGEBRAS FROM HEISENBERG CATEGORIES

   https://doi.org/10.1017/S1474748016000189  

   Cautis, Sabin; Lauda, Aaron D.; Licata, Anthony M.; Sussan, Joshua (July 2016, Journal of the Institute of Mathematics of Jussieu)

   The trace (or zeroth Hochschild homology) of Khovanov’s Heisenberg category is identified with a quotient of the algebra $$W_{1+\infty }$$. This induces an action of $$W_{1+\infty }$$ on the center of the categorified Fock space representation, which can be identified with the action of $$W_{1+\infty }$$ on symmetric functions. 

   more » « less
3. Existentially closed W*-probability spaces

   https://doi.org/10.1007/s00209-022-03038-z  

   Goldbring, Isaac; Houdayer, Cyril (August 2022, Mathematische Zeitschrift)

   Abstract We study several model-theoretic aspects of W $$^*$$ ∗ -probability spaces, that is, $$\sigma $$ σ -finite von Neumann algebras equipped with a faithful normal state. We first study the existentially closed W $$^*$$ ∗ -spaces and prove several structural results about such spaces, including that they are type III $$_1$$ 1 factors that tensorially absorb the Araki–Woods factor $$R_\infty $$ R ∞ . We also study the existentially closed objects in the restricted class of W $$^*$$ ∗ -probability spaces with Kirchberg’s QWEP property, proving that $$R_\infty $$ R ∞ itself is such an existentially closed space in this class. Our results about existentially closed probability spaces imply that the class of type III $$_1$$ 1 factors forms a $$\forall _2$$ ∀ 2 -axiomatizable class. We show that for $$\lambda \in (0,1)$$ λ ∈ ( 0 , 1 ) , the class of III $$_\lambda $$ λ factors is not $$\forall _2$$ ∀ 2 -axiomatizable but is $$\forall _3$$ ∀ 3 -axiomatizable; this latter result uses a version of Keisler’s Sandwich theorem adapted to continuous logic. Finally, we discuss some results around elementary equivalence of III $$_\lambda $$ λ factors. Using a result of Boutonnet, Chifan, and Ioana, we show that, for any $$\lambda \in (0,1)$$ λ ∈ ( 0 , 1 ) , there is a family of pairwise non-elementarily equivalent III $$_\lambda $$ λ factors of size continuum. While we cannot prove the same result for III $$_1$$ 1 factors, we show that there are at least three pairwise non-elementarily equivalent III $$_1$$ 1 factors by showing that the class of full factors is preserved under elementary equivalence. 

   more » « less
4. Trialities of $$\mathcal{W}$$-algebras

   https://doi.org/10.4310/CJM.2022.v10.n1.a2  

   Creutzig, Thomas; Linshaw, Andrew R. (January 2022, Cambridge Journal of Mathematics)
5. Search for W W/W Z resonance production in ℓνqq final states in pp collisions at s=13$$ \sqrt{s}=13 $$ TeV with the ATLAS detector

   https://doi.org/10.1007/JHEP03(2018)042  

   Aaboud, M.; Aad, G.; Abbott, B.; Abdinov, O.; Abeloos, B.; Abidi, S. H.; AbouZeid, O. S.; Abraham, N. L.; Abramowicz, H.; Abreu, H.; et al (March 2018, Journal of High Energy Physics)