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We introduce a Hamiltonian for fermions on a lattice and prove a theorem regarding its topological properties. We identify the topological criterion as a $\mathbb{Z}_2-$ topological invariant $p(\textbf{k})$ (the Pfaffian polynomial). The…

Mesoscale and Nanoscale Physics · Physics 2017-05-16 Bruno Mera , Miguel A. N. Araújo , Vítor R. Vieira

We investigate the Raman spectra in the geometry where both incident and scattered photon polarizations are parallel to the $\hat{z}$-direction, for a plane-chain bilayer coupled via a single-particle tunneling $t_\perp$. The Raman vertex…

Condensed Matter · Physics 2016-08-31 W. C. Wu , J. P. Carbotte

Four-component massive and massless Dirac fermions in the presence of long range Coulomb interaction and chemical potential disorder exhibit striking fermionic quantum criticality. For an odd number of flavors of Dirac fermions, the sign of…

Disordered Systems and Neural Networks · Physics 2015-03-17 Pallab Goswami , Sudip Chakravarty

We show how a chiral Dirac fermion (a massless electron or hole) can be converted into a pair of neutral chiral Majorana fermions (a particle equal to its own antiparticle). These two types of fermions exist on the metallic surface of a…

Mesoscale and Nanoscale Physics · Physics 2009-05-28 A. R. Akhmerov , Johan Nilsson , C. W. J. Beenakker

Using Raman scattering, the quasi-two dimensional organic superconductor k-(BEDT-TTF)2Cu[N(CN)2]Br (T_c=11.8 K) and the related antiferromagnet k-(BEDT-TTF)2Cu[N(CN)2]Cl are studied. Raman scattering provides unique spectroscopic…

Strongly Correlated Electrons · Physics 2015-10-21 Natalia Drichko , Rudi Hackl , John A. Schlueter

We perform the experimental demonstration of the method proposed in [Phys. Rev. A 91, 063615 (2015)] to extract the differential phase in dual atom interferometers. From a single magneto-optical trap, we generate two atomic sources,…

Atomic Physics · Physics 2019-05-01 M. Langlois , R. Caldani , A. Trimeche , S. Merlet , Franck Pereira dos Santos

Two-dimensional (2D) layered materials have been extensively studied owing to their fascinating and technologically relevant properties. Their functionalities can be often tailored by the interlayer stacking pattern. Low-frequency (LF)…

Mesoscale and Nanoscale Physics · Physics 2017-10-06 Liangbo Liang , Alexander A. Puretzky , Bobby G. Sumpter , Vincent Meunier

Propagation of light in a highly scattering medium is among the most fascinating optical effect that everyone experiences on an everyday basis and possesses a number of fundamental problems which have yet to be solved. Conventional wisdom…

Hydrocarbons are of great importance in carbon-bearing fluids in deep Earth and in ice giant planets at extreme pressure (P)-temperature (T) conditions. Raman spectroscopy is a powerful tool to study the chemical speciation of hydrocarbons;…

Computational Physics · Physics 2021-05-18 Rui Hou , Ding Pan

Conventional Chern insulators are two-dimensional periodic structures that support unidirectional edge states at the boundary, while the wave propagation in the bulk regions is forbidden. The number of unidirectional edge states is governed…

Optics · Physics 2024-11-22 João C. Serra , Mário G. Silveirinha

We present measurements of transmission and reflection spectra of a microwave photonic crystal composed of 874 metallic cylinders arranged in a triangular lattice. The spectra show clear evidence of a Dirac point, a characteristic of a…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Bittner , B. Dietz , M. Miski-Oglu , P. Oria Iriarte , A. Richter , F. Schaefer

A key problem in the modern study of AI is predicting and understanding emergent capabilities in models during training. Inspired by methods for studying reactions in quantum chemistry, we present the ``2-datapoint reduced density matrix".…

Machine Learning · Computer Science 2026-04-02 Max Hennick , Guillaume Corlouer

Multidimensional coherent optical spectroscopy is one of the most powerful tools for investigating complex quantum mechanical systems. While it was conceived decades ago in magnetic resonance spectroscopy using micro- and radio-waves, it…

This paper presents a fast algorithm for computing transport properties of two-dimensional Dirac operators with linear domain walls, which model the macroscopic behavior of the robust and asymmetric transport observed at an interface…

Mathematical Physics · Physics 2023-05-17 Guillaume Bal , Jeremy G Hoskins , Zhongjian Wang

Iron-based superconducting layered compounds have the second highest transition temperature after cuprate superconductors. Their discovery is a milestone in the history of high-temperature superconductivity and will have profound…

Superconductivity · Physics 2012-10-11 A. M. Zhang , Q. M. Zhang

We present microscopic Hamiltonians that gap the Dirac fermions on the surface of topological crystalline insulators (TCIs) protected by reflection symmetry and create symmetry-preserving states with Abelian topological orders. For TCIs…

Strongly Correlated Electrons · Physics 2017-07-11 Sungjoon Hong , Liang Fu

Discovering Dirac fermions with novel properties has become an important front in condensed matter and materials sciences. Here, we report the observation of unusual Dirac fermion states in a strongly-correlated electron setting, which are…

At photonic Dirac points, electromagnetic waves are governed by the same equations as two-component massless relativistic fermions. However, photonic Dirac points are known to occur in pairs in "photonic graphene" and other similar photonic…

Monolayer transition metal dichalcogenides (TMDs) are a key class of two-dimensional (2D) materials with broad technological potential. Their Janus counterparts exhibit unique properties due to broken out-of-plane symmetry and further…

Materials Science · Physics 2026-01-06 Johnathan Kowalski , Liangbo Liang

We report the measurement of a large optical reflection matrix (RM) of a highly disordered medium. Incident optical fields onto a turbid sample are controlled by a spatial light modulator, and the corresponding fields reflected from the…

Optics · Physics 2019-08-17 Hyeonseung Yu , Jung-Hoon Park , YongKeun Park