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The AKLT Model on a Hexagonal Chain is Gapped

Publications associées (24)

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Cao and Yuan obtained a Blichfeldt-type result for the vertex set of the edge-to-edge tiling of the plane by regular hexagons. Observing that the vertex set of every Archimedean tiling is the union of translates of a fixed lattice, we take a more general v ...

SPRINGER HEIDELBERG2019

Cellular checkerboard patterns are observed at many stages of embryonic development. We study an analytically tractable model for lateral inhibition and show that the steady states are analogous to optical phonons at the Gamma point, which have the wave nu ...

2019

Nontrivial evolution of the Sb(111) electronic and atomic structure after ion irradiation

Defects in crystal structure of layered material can modify the surface states. Ion bombardment is a simple way to introduce defects into a crystal lattice in the surface region. Comprehensive scanning tunneling microscopy (STM), low-energy electron diffra ...

ELSEVIER SCIENCE BV2019

Spectral gaps of frustration-free spin systems with boundary

Marius Christopher Lemm

In quantum many-body systems, the existence of a spectral gap above the ground state has far-reaching consequences. In this paper, we discuss “finite-size” criteria for having a spectral gap in frustration-free spin systems and their applications. We exten ...

2019

We use ultrafast transient absorption microscopy to map the effect of structural disorder on the photophysical properties within a micrometer-sized crystal of methylammonium lead iodide (CH3NH3PbI3) perovskite. We reveal a spatial inhomogeneity of the stru ...

Amer Chemical Soc2017

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IRMOF-74 analogues are among the most widely studied metal-organic frameworks ( MOFs) for adsorption applications because of their one-dimensional channels and high metal density. Most studies involving the IRMOF-74 series assume that the crystal lattice i ...

Springer Nature2017

One fundamental problem of modern physics is the search for a theory of everything able to explain the nature of space-time, what matter is and how matter interacts. There are various propositions, as Grand Unified Theory, Quantum Gravity, Supersymmetry, S ...

2016

Possibility of an unconventional spin state of Ir4+ in Ba21Ir9O43 single crystal

László Forró, Henrik Moodysson Rønnow, Arnaud Magrez, Oleg Yazyev, Ivica Zivkovic, Alla Arakcheeva, Bálint Náfrádi, Lin Yang, Andrea Pisoni, Sergiy Katrych, Jacim Jacimovic, Noore Elahi Shaik

We report the synthesis of single crystals of a novel layered iridate Ba21Ir9O43 and present the crystallographic, transport, and magnetic properties of this material. The compound has a hexagonal structure with two iridium oxide layers stacked along the c ...

Amer Physical Soc2016

Amazon2016

Lattices abound in nature—from the crystal structure of minerals to the honey-comb organization of ommatidia in the compound eye of insects. These arrangements provide solutions for optimal packings, efficient resource distribution, and cryptographic proto ...

2015