Two dimensional gravity waves at **low** regularity I: **Energy** estimates

**low**us to significantly lower the Sobolev regularity threshold for local well-posedness, drastically improving earlier results obtained by Alazard-Burq-Zuily [3, 4], Hunter-Ifrim-Tataru [12] and Ai [2]. Expand abstract.

**low**regularity solutions for the water wave equations in two space dimensions. Our focus here is on sharp cubic

**energy**estimates. Precisely, we introduce and develop the techniques to prove a new class of

**energy**estimates, which we call \emph{balanced cubic estimates}. This yields a key improvement over the earlier cubic estimates of Hunter-Ifrim-Tataru [12], while preserving their scale invariant character and their position-velocity potential holomorphic coordinate formulation. Even without using any Strichartz estimates, these results allow us to significantly lower the Sobolev regularity threshold for local well-posedness, drastically improving earlier results obtained by Alazard-Burq-Zuily [3, 4], Hunter-Ifrim-Tataru [12] and Ai [2].

4/10 relevant

arXiv

Low-**energy** excitations in type-II Weyl semimetal Td-MoTe2 evidenced
through optical conductivity

**low**-

**energy**interband transitions. Expand abstract.

**low**-

**energy**interband transitions. Both are linked to excitations between spin-orbit split bands. The lowest interband transition shows a strong thermal shift, pointing to a chemical potential that dramatically decreases with temperature. With the help of ab initio calculations and a simple two-band model, we give qualitative and quantitative explanation of the main features in the temperature-dependent optical spectra up to 400 meV.

10/10 relevant

arXiv

Measurement of the radon concentration in purified water in the Super-Kamiokande IV detector

**energy**comparable to its decay products.

**Low**

**energy**solar neutrino measurements at Super-Kamiokande suffer from these backgrounds and therefore require precise characterization of the Rn concentration in the detector's ultra-pure water. To this end, we have developed a measurement system consisting of a Rn extraction column, an activated charcoal trap, and a Rn detector. In this article, we discuss the design, calibration, and performance of the Rn extraction column. We also describe the design of the measurement system and evaluate its performance, including its background. Using this system we measured the Rn concentration in Super-Kamiokande's water during the period May 2014 to October 2015. The measured Rn concentration in the supply (return) lines of the water circulation system and found $1.62\pm0.15$ $\mathrm{mBq/m^{3}}$ ($9.06\pm0.63$ $\mathrm{mBq/m^{3}}$). Water sampled from the center (bottom) region of the detector itself had a concentration of $

4/10 relevant

arXiv

Comment on "Tuning **low**-**energy** scales in YbRh$_2$Si$_2$ by
non-isoelectronic substitution and pressure"

8/10 relevant

arXiv

Dynamical supersymmetry enhancement of black hole horizons

**low**

**energy**limit of string theory known as supergravity and we prove the $\textit{horizon conjecture}$ for a number of supergravity theories. We first give important examples of symmetry enhancement in $D=4$ and the mathematical preliminaries required for the analysis. Type IIA supergravity is the

**low**

**energy**limit of $D=10$ IIA string theory, but also the dimensional reduction of $D=11$ supergravity which itself the

**low**

**energy**limit of M-theory. We prove that Killing horizons in IIA supergravity with compact spatial sections preserve an even number of supersymmetries. By analyzing the global properties of the Killing spinors, we prove that the near-horizon geometries undergo a supersymmetry enhancement. This follows from a set of generalized Lichnerowicz-type theorems we establish, together with an index theory argument. We also show that the symmetry algebra of horizons with non-trivial fluxes includes an $\mathfrak{sl}(2, \mathbb{R})$ subalgebra. As an intermediate step in the proof, we also demonstrate new Lichnerowicz type theorems for spin bundle connections whose holonomy is contained in a general linear group. We prove the same result for Roman's Massive IIA supergravity. We also consider the near-horizon geometry of supersymmetric extremal black holes in un-gauged and gauged 5-dimensional supergravity, coupled to abelian vector multiplets. We consider important examples in $D=5$ such as the BMPV and supersymmetric black ring solution, and investigate the near-horizon geometry to show the enhancement of the symmetry algebra of the Killing vectors. We repeat a similar analysis as above to prove the horizon conjecture. We also investigate the conditions on the geometry of the spatial horizon section $\cal{S}$.

7/10 relevant

arXiv

Unusual change in the Dirac-cone **energy** band upon two-step magnetic
transition in CeBi

**energy**ARPES on CeBi has revealed the Dirac-cone band at the Gamma point in the paramagnetic phase associated with the bulk band inversion. Expand abstract.

**Low**-

**energy**ARPES on CeBi has revealed the Dirac-cone band at the Gamma point in the paramagnetic phase associated with the bulk band inversion. On the other hand, a double Dirac-cone band appears on entering the first AF phase at T = 25 K, whereas a single Dirac-cone band recovers below the second AF transition at T = 14 K. The present result suggests an intricate interplay between antiferromagnetism and topological surface states in CeBi.

4/10 relevant

arXiv

Magnetic Field tuning of **low** **energy** spin dynamics in the single-atomic
magnet Li$_2$(Li$_{1-x}$Fe$_x$)N

**energy**barrier for longitudinal spin fluctuations. Expand abstract.

**energy**levels. The experimental observations are qualitatively reproduced by a single-ion effective spin Hamiltonian analysis assuming a Fe1+ d7 charge state with unquenched orbital moment and a J = 7=2 ground state. It is demonstrated that a weak axial single-ion anisotropy D of the order of a few Kelvin can cause a two orders of magnitude larger

**energy**barrier for longitudinal spin fluctuations.

9/10 relevant

arXiv

Effects of **energy** extensivity on the quantum phases of long-range
interacting systems

**energy**extensivity in the system, which is done by rescaling the interaction potential with a suitable size-dependent factor known as Kac's prescription, has a profound influence on the

**low**-energy properties in the thermodynamic limit. Expand abstract.

**energy**extensivity in the system, which is done by rescaling the interaction potential with a suitable size-dependent factor known as Kac's prescription, has a profound influence on the

**low**-

**energy**properties in the thermodynamic limit. While an insulating phase is found in the absence of Kac's rescaling, the latter leads to a new metallic phase that does not fall into the conventional Luttinger liquid paradigm. Our results in one dimension illustrate the subtlety of determining the thermodynamic properties of generic long-range quantum systems.

4/10 relevant

arXiv

Dynamics of a Majorana trijunction in a microwave cavity

**low**-

**energy**Majorana bound states (MBSs) coupled to the cavity electric field under a braiding operation. Extending a previous work (Phys. Rev. Lett. 2019, 122, 236803), the full time evolution of the density matrix of the

**low**-

**energy**states, including various relaxation channels, is computed both in the adiabatic regime, as well as within the Floquet formalism in the case of periodic driving. It turns out that in the stationary state the observables of the system depend on both the parity of the ground state and on the non-Abelian Berry phase acquired during braiding. The average photon number and the second order photon coherence function $g^{(2)}(0)$ are explicitly evaluated and reveal the accumulated non-Abelian Berry phase during the braiding process.

4/10 relevant

arXiv

Understanding the lattice thermal conductivity of SrTiO3 from an ab initio perspective

**energy**dispersion when a change in the lattice parameters is imposed and second, the

**low**energy polar modes. Expand abstract.

**energy**dispersion when a change in the lattice parameters is imposed and second, the

**low**

**energy**polar modes. In particular and counterintuitively, we have found that an increase in the angle of the oxygen octahedral rotations increases the thermal conductivity due to its coupling to these polar modes.

4/10 relevant

arXiv