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We consider a realistic model, i.e., ultracold atoms in a driven optical lattice, to realize phase space crystals [Phys. Rev. Lett. 111, 205303 (2013)]. The corresponding lattice structure in phase space is more complex and contains rich…

Quantum Gases · Physics 2016-02-02 Lingzhen Guo , Michael Marthaler

The study of band connectivity is a fundamental problem in condensed matter physics. Here, we develop a new method for analyzing band connectivity, which completely solves the outstanding questions of the reducibility and decomposition of…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Zeying Zhang , Y. X. Zhao , Yugui Yao , Shengyuan A. Yang

Graphene super-structures have been widely studied but the original structure of the SU(2) Hamiltonian was never modified. We study SU(2)xSU(2) super-structures arising from spatial modulation of spin-orbit interactions and derive an…

Mesoscale and Nanoscale Physics · Physics 2011-10-19 Lucia Lenz , Dario Bercioux

We show that resonant frequencies of a system of coupled resonators in a truncated periodic lattice converge to the essential spectrum of corresponding infinite lattice. We use the capacitance matrix as a model for fully coupled resonators…

Mathematical Physics · Physics 2023-05-29 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

We numerically investigate and experimentally demonstrate an in-situ topological band transition in a highly tunable mechanical system made of cylindrical granular particles. This system allows us to tune its inter-particle stiffness in a…

Pattern Formation and Solitons · Physics 2017-07-19 Rajesh Chaunsali , Aman Thakkar , Eunho Kim , Panayotis G. Kevrekidis , Jinkyu Yang

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

State-of-the-art computational methods combined with common idealized structural models provide an incomplete understanding of experiments on real nanostructures, since manufacturing introduces unavoidable deviations from the design. We…

The full-potential linearized augmented plane wave method with the generalized gradient approximation for the exchange-correlation potential (FLAPW-GGA) is used to predict the electronic and elastic properties of the newly discovered…

Materials Science · Physics 2008-11-14 I. R. Shein , A. L. Ivanovskii

A systematic study of the electronic properties of single layer Sb (antimonene) nanoribbons is presented. By using a 6-orbital tight-binding Hamiltonian, we study the electronic band structure of finite ribbons with zigzag or armchair…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Edo van Veen , Jin Yu , Mikhail I. Katsnelson , Rafael Roldan , Shengjun Yuan

By band engineering the iron chalcogenide Fe(Se,Te) via ab-initio calculations, we search for topological surface states and realizations of Majorana bound states. Proposed topological states are expected to occur for non-stoichiometric…

Materials Science · Physics 2020-09-02 Lars Lauke , Rolf Heid , Michael Merz , Thomas Wolf , Amir-Abbas Haghighirad , Jörg Schmalian

Recently, level crossings in the energy bands of crystals have been identified as a key signature for topological phase transitions. Using realistic models we show that the parameter space controlling the occurrence of level coincidences in…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 R. Winkler , L. Y. Wang , Y. H. Lin , C. S. Chu

In order to provide a quantitatively accurate description of the band gap variation with sizes in various II-VI semiconductor nanocrystals, we make use of the recently reported tight-binding parametrization of the corresponding bulk…

Materials Science · Physics 2009-11-10 Sameer Sapra , D. D. Sarma

Continuum lattice grid structures which consist of joined elastic beams subject to flexural deformations are ubiquitous. In this work, we establish a theoretical framework of the topological dynamics of continuum lattice grid structures,…

Classical Physics · Physics 2025-01-07 Yimeng Sun , Jiacheng Xing , Li-Hua Shao , Jianxiang Wang

A novel way to create a band structure of the quasienergy spectrum for driven systems is proposed based on the discrete symmetry in phase space. The system, e.g., an ion or ultracold atom trapped in a potential, shows no spatial…

Quantum Gases · Physics 2022-03-08 Lingzhen Guo , Michael Marthaler , Gerd Schön

Constructions of synthetic lattices in photonics attract growingly attentions for exploring interesting physics beyond the geometric dimensionality, among which modulated ring resonator system has been proved as a powerful platform to…

Theory anticipates that the in-plane px, py orbitals in a honeycomb lattice lead to new and potentially useful quantum electronic phases. So far, p orbital bands were only realized for cold atoms in optical lattices and for light and…

We study the influence of the band structure on the symmetry and superconducting transition temperature in the (solvable) weak-coupling limit of the repulsive Hubbard model. Among other results we find: 1) As a function of increasing…

Superconductivity · Physics 2015-11-11 Weejee Cho , Ronny Thomale , Srinivas Raghu , Steven A. Kivelson

I present a theory of electron dynamics in semiconductors with slowly varying composition. I show that the frequency-dependent conductivity, required for the description of transport and optical properties, can be obtained from a knowledge…

Condensed Matter · Physics 2016-08-31 Michael R. Geller

The electronic bands are classified according to their topology. We compute the connection and curvature for the electronic bands and show that the physical properties are determined by topological invariants which are equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 D. Schmeltzer

It is difficult to intuit how electronic structure features$-$such as band gap magnitude, location of band extrema, effective masses, etc.$-$arise from the underlying crystal chemistry of a material. Here we present a strategy to distill…

Materials Science · Physics 2024-12-25 Emily Oliphant , Veda Mantena , Madison Brod , G. Jeffrey Snyder , Wenhao Sun