Luttinger's theorem is a major result in many-body physics that states the volume of Fermi surface directly proportional to particle density. In its "hard" form, implies invariant with respect interactions (as opposed "soft" theorem, where this invariance lost). Despite it's simplicity, conditions on fermionic self energy under which valid remains matter debate, possible requirements for validity ranging from particle-hole symmetry analyticity about surface. paper, we propose minimal...

Optical conductivity measurements may provide access to distinct signatures of Floquet electronic phases, described theoretically by their quasienergy band structures. In this paper we characterize experimental observables the graphene antidot lattice (FGAL), which introduced previously [Phys. Rev. B 104, 174304 (2021)]. On basis linear response theory, real and imaginary parts longitudinal Hall optical are computed as a function probe frequency. We find that number positions peaks in...

We propose a closed form for the statistical distribution of non-interacting Majorana fermions at low temperature.Majorana particles often appear in contemporary many-body literature Kitaev, Fu-Kane, or Sachdev-Ye-Kitaev models, where condition self-conjugacy immediately results nonconserved particle number, non-trivial braiding statistics, and absence noninteracting limit.We deviate from this description instead consider gas noninteracting, spin-1/2 that obey spin-statistics theorem via...

Motivated by recent experiments in the Kitaev honeycomb lattice, Kondo insulators, and "Luttinger's theorem-violating" Fermi liquid phase of underdoped cuprates, we extend theoretical machinery Landau-Fermi theory to a system itinerant, interacting Majorana-like particles.Building upon previously introduced model "nearly self-conjugate" fermionic polarons, Landau-Majorana kinetic equation is describe collective modes surface instabilities fluid particles whose degrees freedom obey Majorana...

Optical conductivity measurements may provide access to distinct signatures of Floquet electronic phases, which are described theoretically by their quasienergy band structures. We characterize experimental observables the graphene antidot lattice (FGAL), we introduced previously [Phys. Rev. B 104, 174304 (2021)]. On basis linear response theory, real and imaginary parts longitudinal Hall optical computed as a function probe frequency. find that number positions peaks in distinctive...

We study linear scaling relations in electron-phonon superconductors. By combining numerical and analytical techniques, we find Homes between the zero-temperature superfluid density normal-state DC conductivity. This is due to Galilean invariance being broken, either via a large impurity scattering rate or inelastic of electrons Einstein phonons at coupling. Our work thus shows that more universal than cuprate BCS-like physics, instead fundamental result wide class

The entanglement level statistics of a quantum state have recently been proposed to be signature universality in the underlying circuit. This is consequence repulsion spectra being tied integrability generated. However, such studies level-spacing spectrum thus far limited output states Clifford and Haar random circuits on product inputs. In this work, we provide first example circuit which composed simulable gate set, yet has Wigner-Dyson distributed without any perturbing universal element....

Quantum technology is full of figurative and literal noise obscuring its promise. In this overview, we will attempt to provide a sober assessment the promise quantum with focus on computing. We tour computing that aimed be comprehensible scientists engineers without becoming popular account. The goal not comprehensive review nor superficial introduction but rather serve as useful map navigate hype, scientific literature, upcoming press releases about have cite most recent topical reviews,...

We study the intrinsic effects of dimensional reduction on transport equation a perfectly two-dimensional Landau-Fermi liquid. By employing orthogonality condition 2D analog Fourier-Legendre expansion, we find that equilibrium and non-equilibrium properties fermionic system differ from its three-dimensional counterpart, with latter changing drastically. Specifically, modified Landau-Silin kinetic is heavily dependent solution non-trivial contour integral specific to this generalizations,...

Using the Landau kinetic equation to study non-equilibrium behavior of interacting Fermi systems is one crowning achievements Landau's liquid theory. While thorough transport modes has been done for standard three-dimensional liquids, an equally in-depth analysis two dimensional liquids lacking. In applying (LKE) a two-dimensional liquid, we obtain unconventional zero sound mode $c_0$. As function usual dimensionless parameter $s=ω/qv_F$, find peculiar results: First, $|s|>1$ see...

Abstract Detecting Majorana fermions in experimental realizations of the Kitaev honeycomb model is often complicated by non-trivial interactions inherent to potential spin liquid candidates. In this work, we identify several distinct thermodynamic signatures massive, itinerant within well-established analytical paradigm Landau-Fermi theory. We find a qualitative and quantitative agreement between salient features our Landau-Majorana theory candidate Ag 3 LiIr 2 O 6 . Our study presents...

The entanglement level statistics of a quantum state have recently been proposed to be signature universality in the underlying circuit. This is consequence repulsion spectra being tied integrability generated. However, such studies level-spacing spectrum thus far limited output states Clifford and Haar random circuits on product inputs. In this work, we provide first example circuit which composed simulable gate set, yet has Wigner-Dyson distributed without any perturbing universal element....

For nearly a century, the Stoner model has dominated research in itinerant ferromagnetism, yet recent work on ultracold, optically trapped Fermi gases suggests that phase separation of spins occurs independent long-range magnetic order. In this paper, we consider breakdown criterion Landau-Fermi liquid with weak non-zero gauge field. Due to process analogous Kohn's theory metal-insulator transition, find stability absence non-quasiparticle contributions response is strongly dependent Landau...