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Besides being a fascinating class of new materials, magnetic molecules provide the opportunity to study concepts of condensed matter physics in zero dimensions. This contribution will exemplify the impact of molecular magnetism on concepts…

Materials Science · Physics 2018-05-09 J. Schnack

We study the energy spectrum and the quantized Hall conductance of electrons in a two-dimensional periodic potential with perpendicular magnetic field WITHOUT neglecting the coupling of the Landau bands. Remarkably, even for weak Landau…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Springsguth , R. Ketzmerick , T. Geisel

Near zero temperature, quantum magnetism can non-trivially arise from short-range interactions, but the occurrence of magnetic order depends crucially on the interplay of interactions, lattice geometry, dimensionality and doping. Even…

Quantum Gases · Physics 2017-05-03 J. H. Drewes , L. A. Miller , E. Cocchi , C. F. Chan , D. Pertot , F. Brennecke , M. Köhl

In this work we present a theoretical approach to study the effect of an in-plane (parallel) magnetic field on the microwave-assisted transport properties of a two-dimensional electron system. Previous experimental evidences show that…

Mesoscale and Nanoscale Physics · Physics 2012-11-22 Jesus Inarrea , Gloria Platero

The geometrical frustration nature of the kagome lattice makes it a great host to flat electronic band, non-trivial topological properties, and novel magnetisms. Metallic kagome antiferromagnet YMn$_{6}$Sn$_{6}$ exhibits the topological…

Strongly Correlated Electrons · Physics 2021-01-26 Kelly J. Neubauer , Chunruo Duan , Feng Ye , Rui Zhang , Songxue Chi , Qi Wang , Kathryn Krycka , Hechang Lei , Pengcheng Dai

Electrons exposed to a two-dimensional (2D) periodic potential and a uniform, perpendicular magnetic field exhibit a fractal, self-similiar energy spectrum known as the Hofstadter butterfly. Recently, related high-temperature quantum…

We investigate the magnetic orders and excitations in a half-filled Hubbard model that continuously interpolates between the Lieb and kagome lattices. Using self-consistent Hartree-Fock approximation combined with real-time two-particle…

Strongly Correlated Electrons · Physics 2026-01-21 Teng-Fei Ying , Hugo U. R. Strand , Benjamin T. Zhou , Erik G. C. P. van Loon

We calculate the energy bands for graphene monolayers when electrons move through a periodic electrostatic potential in the presence of a uniform perpendicular magnetic field. We clearly demonstrate the quantum fractal nature of the energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Liubov Zhemchuzhna

An effective-field theory based on the single-spin cluster has been used to study of a diluted spin-$1/2$ Ising antiferromagnet on the Kagome lattice with nearest-neighbor interactions. We observe five plateaus in the magnetization curve of…

Statistical Mechanics · Physics 2020-07-08 A. Bobák , T. Lučivjanský , M. Žukovič

We present a systematic theory of the phonon Hall effect in a ballistic crystal lattice system, and apply it on the kagome lattice which is ubiquitous in various real materials. By proposing a proper second quantization for the non-Hermite…

Materials Science · Physics 2011-07-15 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

Flat bands, characterized by zero group velocity and strong energy localization, enable interaction-enhanced phenomena across both quantum and classical systems. Existing photonic flat-band implementations were limited to evanescent-wave…

Optics · Physics 2025-09-17 Han-Rong Xia , Ziyao Wang , Yunrui Wang , Zhen Gao , Meng Xiao

The one dimensional Kondo lattice model is investigated using Quantum Monte Carlo and transfer matrix techniques. In the strong coupling region ferromagnetic ordering is found even at large band fillings. In the weak coupling region the…

Condensed Matter · Physics 2007-05-23 Matthias Troyer , Diethelm Würtz

We study the quantum Ising antiferromagnet on the Kagome lattice, with weak transverse field dynamics and other local perturbations. We analytically demonstrate the possibility of a disordered zero-temperature phase that is smoothly…

Strongly Correlated Electrons · Physics 2010-07-16 P. Nikolic , T. Senthil

The Hofstadter butterfly is one of the first and most fascinating examples of the fractal and self-similar quantum nature of free electrons in a lattice pierced by a perpendicular magnetic field. However, the direct experimental…

Quantum Physics · Physics 2022-11-08 David Bodesheim , Robert Biele , Gianaurelio Cuniberti

The recent discoveries about topological insulators have been promoting theoretical and experimental research. In this dissertation, the basic concepts of topological insulators and the Quantum Hall Effect are reviewed focusing the…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Manuel B. Santos

The interplay of hopping parameters that can give rise to flat bands in consequence of quantum interference in electronic, photonic, and other interesting materials has become an extensively studied topic. Most of the recognized structures…

Materials Science · Physics 2019-08-02 Chi-Cheng Lee , Antoine Fleurence , Yukiko Yamada-Takamura , Taisuke Ozaki

We use the high sensitivity to magnetic flux of mesoscopic conductance fluctuations in large quantum dots to investigate changes in the two-dimensional electron dispersion caused by an in-plane magnetic field. In particular, changes in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. M. Zumbuhl , J. B. Miller , C. M. Marcus , V. I. Fal'ko , T. Jungwirth , J. S. Harris

High-resolution time-of-flight powder neutron diffraction and high-field magnetization were measured to investigate the magnetic structure and existence of a field-induced magnetic phase transition in the distorted kagome antiferromagnet…

Employing complementary torque magnetometry and electron spin resonance on single crystals of herbertsmithite, the closest realization to date of a quantum kagome antiferromagnet featuring a spin-liquid ground state, we provide novel…

Strongly Correlated Electrons · Physics 2017-01-06 A. Zorko , M. Herak , M. Gomilšek , J. van Tol , M. Velázquez , P. Khuntia , F. Bert , P. Mendels

We consider the $S=1/2$ antiferromagnetic Heisenberg model on a frustrated kagome-lattice bilayer with strong nearest-neighbor interlayer coupling and examine its low-temperature magnetothermodynamics using a mapping onto a rhombi gas on…

Strongly Correlated Electrons · Physics 2025-07-03 Dmytro Yaremchuk , Taras Hutak , Vasyl Baliha , Taras Krokhmalskii , Oleg Derzhko , Jürgen Schnack , Johannes Richter
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