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We study the ground states of cold atoms in the tight-binding bands built from p-orbitals on a two dimensional honeycomb optical lattice. The band structure includes two completely flat bands. Exact many-body ground states with on-site…

Strongly Correlated Electrons · Physics 2007-08-26 Congjun Wu , Doron Bergman , Leon Balents , S. Das Sarma

We consider the fate of the Dirac points in the spectrum of a honeycomb optical lattice in the presence of a harmonic confining potential. By numerically solving the tight binding model we calculate the density of states, and find that the…

Quantum Gases · Physics 2010-06-01 J. Kusk Block , N. Nygaard

Destructive interference between electron wavefunctions on the two-dimensional (2D) kagome lattice induces an electronic flat band, which could host a variety of interesting many-body quantum states. Key to realize these proposals is to…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Caiyun Chen , Jiangchang Zheng , Ruopeng Yu , Soumya Sankar , Hoi Chun Po , Kam Tuen Law , Berthold Jäck

We propose a scheme to achieve breathing kagome moir\'e superlattices using three twisted layers of transition metal dichalcogenides. In this scheme, the top and bottom layers are twisted relative to the middle layer by small angles…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Adrian Fedorko , Chao-Xing Liu , Zhen Bi

We present a comprehensive method for determining {both exact and approximate} dispersion {relations} for one-dimensional {resonant phononic} crystals, applicable to a wide range of structures, regardless of their specific characteristics.…

Applied Physics · Physics 2026-01-21 Mario Lázaro , Richard Wiltshaw , Richard V. Craster , Vicent Romero-García

Honeycomb structure has a natural extension to the three dimensions. Simple examples are hyperhoneycomb and stripy-honeycomb lattices, which are realized in $\beta $-Li$_{2}$IrO$_{3}$ and $\gamma $-Li$_{2}$IrO$_{3}$, respectively. We…

Mesoscale and Nanoscale Physics · Physics 2016-03-29 Motohiko Ezawa

Dispersionless flat bands can be classified into two types: (1) non-singular flat bands whose eigenmodes are completely characterized by compact localized states; and (2) singular flat bands that have a discontinuity in their Bloch…

Applied Physics · Physics 2023-08-01 Pragalv Karki , Jayson Paulose

We derive effective Hamiltonians for lattice bosons with strong geometrical frustration of the kinetic energy by projecting the interactions on the flat lowest Bloch band. Specifically, we consider the Bose Hubbard model on the one…

Strongly Correlated Electrons · Physics 2010-11-04 Sebastian D. Huber , Ehud Altman

Kagome materials are at the frontier of condensed matter physics. An ideal kagome lattice features only one geometrically frustrated flat band spanning the entire momentum space and a single Dirac cone at the Brillouin-zone corners.…

We prove that the two-dimensional Schroedinger operator with a potential having the symmetry of a honeycomb structure has dispersion surfaces with conical singularities (Dirac points) at the vertices of its Brillouin zone. No assumptions…

Mathematical Physics · Physics 2012-06-19 Charles L. Fefferman , Michael I. Weinstein

We propose a class of graphene-based moir\'e systems hosting flat bands on kagome and honeycomb moir\'e superlattices. These systems are formed by stacking a graphene layer on a 2D substrate with lattice constant approximately $\sqrt{3}$…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Michael G. Scheer , Biao Lian

A large class of phononic crystals and mechanical metamaterials exhibit glide symmetry that dictates their functionality or exceptional performance. The glide symmetry gives rise to a number of intriguing phenomena like sticking-bands and…

Materials Science · Physics 2018-10-17 Pu Zhang

By performing constant-pressure variable-cell ab initio molecular dynamics simulations we find a quadrupolar orthorhombic structure, of $Pca2_1$ symmetry, for the broken symmetry phase (phase II) of solid H2 at T=0 and P =110 - 150 GPa. We…

Materials Science · Physics 2009-10-30 Jorge Kohanoff , Sandro Scandolo , Guido L. Chiarotti , Erio Tosatti

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

The crystal structure and phonon dynamics of pentacene is computed with the Quasi Harmonic Lattice Dynamics (QHLD) method, based on atom-atom potential. We show that two crystalline phases of pentacene exist, rather similar in thermodynamic…

We report Raman spectra and synchrotron x-ray diffraction measurements of lattice parameters of polycrystalline MgB2 under hydrostatic pressure conditions up to 15 GPa. An anomalously broadened Raman band at 620 cm-1 is observed that…

PbTe crystals have a soft transverse optical phonon mode in the terahertz frequency range, which is known to efficiently decay into heat-carrying acoustic phonons, resulting in anomalously low thermal conductivity. Here, we studied this…

We report measurements of the phonon dispersion relations in non-superconducting, oxygen-deficient PrBa2Cu3O6+x (x ~ 0.2) by inelastic neutron scattering. The data are compared with a model of the lattice dynamics based on a common…

Suspended graphene is difficult to image by scanning probe microscopy due to the inherent van-der-Waals and dielectric forces exerted by the tip which are not counteracted by a substrate. Here, we report scanning tunneling microscopy data…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 A. Georgi , P. Nemes-Incze , B. Szafranek , D. Neumaier , V. Geringer , M. Liebmann , M. Morgenstern

We have synthesized YbPdAs with the hexagonal ZrNiAl-type structure, in which the Yb-atoms form a distorted kagome sublattice in the hexagonal basal plane. Magnetic, transport, and thermodynamic measurements indicate that YbPdAs is a…

Strongly Correlated Electrons · Physics 2022-09-05 W. Xie , F. Du , X. Y. Zheng , H. Su , Z. Y. Nie , B. Q. Liu , Y. H. Xia , T. Shang , C. Cao , M. Smidman , T. Takabatake , H. Q. Yuan