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We develop a unified view of topological phase transitions (TPTs) in solids by revising the classical band theory with the inclusion of topology. Re-evaluating the band evolution from an "atomic crystal" [a normal insulator (NI)] to a solid…

Materials Science · Physics 2020-05-11 Huaqing Huang , Feng Liu

Topological flat bands at the Fermi level offer a promising platform to study a variety of intriguing correlated phase of matter. Here we present band engineering in the twisted orbital-active bilayers with spin-orbit coupling. The symmetry…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Huan Wang , Yadong Jiang , Zhaochen Liu , Jing Wang

The century-long development of surface sciences has witnessed the discoveries of a variety of quantum states. In the recently proposed "obstructed atomic insulators", insulators with symmetric charges pinned at virtual sites where no real…

We present a method capable of calculating elastic scanning tunneling microscopy (STM) currents from localized atomic orbital density functional theory (DFT). To overcome the poor accuracy of the localized orbital description of the wave…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Alexander Gustafsson , Magnus Paulsson

Lower thermal stability due to thinning often leads to unprecedented hidden phases in low-dimensional materials. Such hidden phases can coexist or compete with preexisting electronic phases. We investigate hidden phases observed in…

Materials Science · Physics 2023-02-09 Wooin Yang , Dowook Kim , Hyoung Kug Kim , Tae-Hwan Kim

Two-dimensional topological insulators, characterized by symmetry-protected anomalous boundary modes, have been generalized to the strongly correlated regime for both bosonic and fermionic systems. As correlated topological insulators (TI)…

Strongly Correlated Electrons · Physics 2025-11-18 Yixin Ma , Chao Xu , Shenghan Jiang

We introduce an orbital dependent electron tunneling model and implement it within the atom superposition approach for simulating scanning tunneling microscopy (STM) and spectroscopy (STS). Applying our method, we analyze the convergence…

Materials Science · Physics 2012-12-20 Krisztián Palotás , Gábor Mándi , László Szunyogh

Topological phases, especially topological crystalline insulators (TCIs), have been intensively explored observed experimentally in three-dimensional (3D) materials. However, the two-dimensional (2D) films are explored much less than 3D…

Materials Science · Physics 2017-11-22 Yi-zhen Jia , Wei-xiao Ji , Chang-wen Zhang , Ping Li , Shu-feng Zhang , Pei-ji Wang , Sheng-shi Li , Shi-shen Yan

We study the measurement of the position of atoms as a means to estimate the relative phase between two Bose-Einstein condensates. First, we consider $N$ atoms released from a double-well trap, forming an interference pattern, and show that…

Quantum Gases · Physics 2015-05-20 Jan Chwedenczuk , Francesco Piazza , Augusto Smerzi

Topological phase transition in a single material usually refers to transitions between a trivial band insulator and a topological Dirac phase, but the transition may also occur between different classes of topological Dirac phases.…

Materials Science · Physics 2018-06-13 Hui-Xiong Deng , Zhi-Gang Song , Shu-Shen Li , Su-Huai Wei , Jun-Wei Luo

We present an extension of the tunneling theory for scanning tunneling microcopy (STM) to include different types of vibrational-electronic couplings responsible for inelastic contributions to the tunnel current in the strong-coupling…

The unique properties of spin-polarized surface or edge states in topological insulators (TIs) make these quantum coherent systems interesting from the point of view of both fundamental physics and their implementation in low power…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Juan Pedro Cascales , Isidoro Martınez , Ferhat Katmis , Cui-Zu Chang , Ruben Guerrero , Jagadeesh S. Moodera , Farkhad G. Aliev

We investigate the ground-state phase diagram of the Hubbard model for the AB$_{N-1}$ chain with filling 1/N, where $N$ is the number of atoms per unit cell. In the strong-coupling limit, a charge transition takes place from a band…

Strongly Correlated Electrons · Physics 2009-11-11 M. E. Torio , A. A. Aligia , G. I. Japaridze , B. Normand

The zero-temperature phase diagram of a binary mixture of bosonic and fermionic atoms in an one-dimensional optical lattice is studied in the framework of the Bose-Fermi-Hubbard model. By exact numerical solution of the associated…

Statistical Mechanics · Physics 2009-11-10 R. Roth , K. Burnett

Crystals with symmetry-protected topological order, such as topological insulators, promise coherent spin and charge transport phenomena even in the presence of disorder at room temperature. Still, a major obstacle towards an application of…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Paul Seifert , Marinus Kundinger , Gang Shi , Xiaoyue He , Kehui Wu , Yongqing Li , Alexander Holleitner , Christoph Kastl

According to topological quantum chemistry, a class of electronic materials have been called obstructed atomic insulators (OAIs), in which a portion of valence electrons necessarily have their centers located on some empty…

Materials Science · Physics 2022-05-05 Lei Wang , Yi Jiang , Jiaxi Liu , Shuai Zhang , Jiangxu Li , Peitao Liu , Yan Sun , Hongming Weng , Xing-Qiu Chen

Scanning tunneling microscope (STM) has presented a revolutionary methodology to the nanoscience and nanotechnology. It enables imaging the topography of surfaces, mapping the distribution of electronic density of states, and manipulating…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Wonhee Ko , Chuanxu Ma , Giang D. Nguyen , Marek Kolmer , An-Ping Li

It is desirable to realize topological phases in artificial structures by engineering electronic band structures. In this paper, we investigate $(PbTe)_m(SnTe)_{2n-m}$ superlattices along [001] direction and find a robust weak topological…

Materials Science · Physics 2014-02-25 Gang Yang , Junwei Liu , Liang Fu , Wenhui Duan , Chaoxing Liu

A topological insulator is characterized by spin-momentum locking on its boundary. The spin momentum locking on the surface of a three dimensional topological insulator leads to the existence of a non-trivial Berry's phase which leads to…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , S. Jia , A. Fedorov , J. H. Dil , F. Meier , B. Slomski , J. Osterwalder , R. J. Cava , M. Z. Hasan

Scanning tunneling microscopy (STM) at 5 K was used to study individual Au atoms adsorbed on the surface of a WSe2 layer grown on epitaxial graphene. In line with theoretical predictions, scanning tunneling spectroscopy measurements reveal…

Mesoscale and Nanoscale Physics · Physics 2025-08-18 Hitesh Kumar , Yu-Chuan Lin , Joshua A. Robinson , Stefan Fölsch