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Recent experimental and numerical evidence suggest an intriguing universal relationship between the Fermi surface anisotropy of the non-interacting parent two-dimensional electron gas and the strongly correlated composite Fermi liquid…

Strongly Correlated Electrons · Physics 2020-05-18 Jia Ning Leaw , Ho-Kin Tang , Maxim Trushin , Fakher F. Assaad , Shaffique Adam

We propose a lattice model for the realization of exotic quartic semi-Dirac fermions, i.e. quasiparticles exhibiting a dispersion with quartic momentum dependence in a given direction, and a linear dependence in the perpendicular direction.…

Mesoscale and Nanoscale Physics · Physics 2025-08-20 Mohamed M. Elsayed , Valeri N. Kotov

A new class of multi-scale structures, referred to as `parabolic metamaterials' is introduced and studied in this paper. For an elastic two-dimensional triangular lattice, we identify dynamic regimes, which corresponds to so-called `Dirac…

Materials Science · Physics 2016-09-21 D. J. Colquitt , N. V. Movchan , A. B. Movchan

We address Anderson localization in disordered honeycomb photonic lattices and show that the localization process is strongly affected by the spectral position of the input wavepacket within the first Brillouin zone of the lattice. In spite…

Honeycomb lattice can support electronic states exhibiting Dirac energy dispersion, with graphene as the icon. We propose to derive nontrivial topology by grouping six neighboring sites of honeycomb lattice into hexagons and enhancing the…

Mesoscale and Nanoscale Physics · Physics 2016-04-19 Long-Hua Wu , Xiao Hu

We propose a family of free fermion lattice models that have "Dirac loops", closed lines of Dirac nodes in momentum space, on which the density of states vanishes linearly with energy. Those lattices all possess the planar trigonal…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 Kieran Mullen , Bruno Uchoa , Daniel T. Glatzhofer

The realization and control of collective effects in quantum emitter ensembles have predominantly focused on small, ordered systems, leaving their extension to larger, more complex configurations as a significant challenge. Quantum photonic…

Quantum Physics · Physics 2025-01-28 Ankit Kundu , Rahul Trivedi , Alisa Javadi , Hadiseh Alaeian

Recent progress in optomechanical systems may soon allow the realization of optomechanical arrays, i.e. periodic arrangements of interacting optical and vibrational modes. We show that photons and phonons on a honeycomb lattice will produce…

Mesoscale and Nanoscale Physics · Physics 2015-08-06 M. Schmidt , V. Peano , F. Marquardt

We report on transport properties of the super-honeycomb lattice, the band structure of which possesses a flat band and Dirac cones, according to the tight-binding approximation. This super-honeycomb model combines the honeycomb lattice and…

Holographic quantum matter exploits the AdS/CFT correspondence to study systems in condensed matter physics. An example of these systems are strongly correlated semimetals, which feature a rich phase diagram structure. In this work, we…

High Energy Physics - Theory · Physics 2024-06-04 Sebastián Bahamondes , Ignacio Salazar Landea , Rodrigo Soto-Garrido

We study optical wave manipulations through high-index dielectric metalattices in both diffractionless metasurface and diffractive metagrating regimes. It is shown that the collective lattice couplings can be employed to tune the excitation…

Optics · Physics 2018-01-03 Wei Liu , Andrey E. Miroshnichenko

The lack of both nesting and a van Hove singularity at half filling, together with the presence of Dirac cones makes the honeycomb lattice a special laboratory to explore strongly correlated phenomena. For instance, at zero temperature the…

Strongly Correlated Electrons · Physics 2025-10-31 Welberth Kennedy , Sebastião dos Anjos Sousa-Júnior , Natanael C. Costa , Raimundo R. dos Santos

We study the tunable quantum Hall effects in a non-Abelian honeycomb optical lattice which is a many-Dirac-points system. We find that the quantum Hall effects present different features as change as relative strengths of several…

Strongly Correlated Electrons · Physics 2015-12-21 Ling Li , Ningning Hao , Guocai Liu , Zhiming Bai , Zai-Dong Li , Shu Chen , Wu-Ming Liu

We have studied the dynamical polarization and collective excitations in an anisotropic two-dimensional system undergoing a quantum phase transition with merging of two Dirac points. Analytical results for the one-loop polarization function…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 P. K. Pyatkovskiy , Tapash Chakraborty

Non-Hermitian systems, which contain gain or loss, commonly host exceptional point degeneracies rather than the diabolic points found in Hermitian systems. We present a class of non-Hermitian lattice models with symmetry-stabilized diabolic…

Mesoscale and Nanoscale Physics · Physics 2020-06-17 Haoran Xue , Qiang Wang , Baile Zhang , Y. D. Chong

Natural and artificial honeycomb lattices are of great interest because the band structure of these lattices, if properly constructed, contains a Dirac point. Such lattices occur naturally in the form of graphene and carbon nanotubes. They…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Maxwell Porter , L. E. Reichl

In quantum chromodynamics (QCD) at nonzero chemical potential, the eigenvalues of the Dirac operator are scattered in the complex plane. Can the fluctuation properties of the Dirac spectrum be described by universal predictions of…

High Energy Physics - Lattice · Physics 2009-10-31 H. Markum , R. Pullirsch , T. Wettig

Dirac-like cones, featuring conical linear dispersions intersecting with flat bands, typically arise from accidental degeneracy of multiple modes that requires precise tuning of material and structural parameters, inherently limiting their…

Optics · Physics 2025-07-15 Muxuan Yang , Dongyang Yan , Lei Gao , Wei Liu , Yun Lai , Yadong Xu , Zhi Hong Hang , Jie Luo

Quantum radiation properties of Dirac particles in general nonstationary black holes in the general case is investigated by both using the method of generalized tortoise coordinate transformation and considering the asymptotic behaviors of…

General Relativity and Quantum Cosmology · Physics 2014-02-06 Jia-Chen Hua , Yong-Chang Huang

Two-dimensional Dirac semimetals with a single massless Dirac cone exhibit the parity anomaly. Usually, such a kind of anomalous topological semimetallic phase in real materials is unstable where any amount of disorder can drive it into a…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Zhen Ning , Xianyong Ding , Dong-Hui Xu , Rui Wang