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We introduce three numerical methods for characterizing the topological phases of three-dimensional multiband Hubbard models based on twisted boundary conditions, Wilson loops, as well as the local topological marker. We focus on the…

Quantum Gases · Physics 2021-05-21 Bernhard Irsigler , Jun-Hui Zheng , Fabian Grusdt , Walter Hofstetter

A remarkable feature of the trimer Su-Schrieffer-Heeger (SSH3) model is that it supports localized edge states. Although Zak's phase remains quantized for the case of a mirror-symmetric chain, it is known that it fails to take integer…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Adamantios Anastasiadis , Georgios Styliaris , Rajesh Chaunsali , Georgios Theocharis , Fotios K. Diakonos

We study roles of electron correlations on topological insulators on the honeycomb lattice with the spin-orbit interaction. Accurate variational Monte Carlo calculations show that the increasing on-site Coulomb interactions cause a strong…

Strongly Correlated Electrons · Physics 2011-05-24 Youhei Yamaji , Masatoshi Imada

We suggest and develop a novel approach for describing topological properties of a periodic system purely from the transfer matrix associated to a unit cell. Our approach uses the Iwasawa decomposition to parametrise the transfer matrix…

Mesoscale and Nanoscale Physics · Physics 2024-12-20 Rickson Wielian , Ivan Toftul , Yuri Kivshar

Using the self-consistent Born approximation, we study a topological phase transition appearing in bulk HgCdTe crystals induced \emph{uncorrelated} disorder due to both randomly distributed impurities and fluctuations in Cd composition. By…

Materials Science · Physics 2025-03-07 Sergey S. Krishtopenko , Mauro Antezza , Frédéric Teppe

We derived analytical results for the gapless edge states of two-dimensional topological insulators in the presence of electron-surface optical (SO) phonon interaction due to substrates. We followed an analytical algorithm, called…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 B. S. Kandemir , S. Atag

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with…

Mesoscale and Nanoscale Physics · Physics 2010-05-20 Andreas Rüegg , Jun Wen , Gregory A. Fiete

We propose a new type of edges, arising due to the anisotropy inherent in the puckered structure of a honeycomb system such as in phosphorene. Skewed-zigzag and skewed-armchair nanoribbons are semiconducting and metallic, respectively, in…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Marko M. Grujić , Motohiko Ezawa , Milan Ž. Tadić , Françios M. Peeters

By implementing a charge pumping scheme for one-dimensional aperiodic chains, we confirm the existence of topological phases in these systems whenever their finite-size realizations admit inversion symmetry. These phases are usually…

Disordered Systems and Neural Networks · Physics 2025-01-06 A. Moustaj , J. P. J. Krebbekx , C. Morais Smith

This work presents a rigorous theory for topological photonic materials in one dimension. The main focus is on the existence and stability of interface modes that are induced by topological properties of the bulk structure. For a general 1D…

Mathematical Physics · Physics 2022-12-28 Junshan Lin , Hai Zhang

Topological materials have drawn increasing attention owing to their rich quantum properties, as highlighted by a large intrinsic anomalous Hall effect (AHE) in Weyl and nodal-line semimetals. However, the practical applications for…

Strongly Correlated Electrons · Physics 2022-02-24 Alex Hiro Mayo , Hidefumi Takahashi , Mohammad Saeed Bahramy , Atsuro Nomoto , Hideaki Sakai , Shintaro Ishiwata

Time-periodic modulation of a static system is a powerful method for realizing robust unidirectional topological states. So far, all such realizations have been based on interactions among $s$ orbitals, without incorporating inter-orbital…

Optics · Physics 2026-01-15 Gayathry Rajeevan , Sebabrata Mukherjee

Topological polaritons characterized by light-matter interactions have become a pivotal platform in exploring new topological phases of matter. Recent theoretical advances unveiled a novel mechanism for tuning topological phases of…

Motivated by recent advances in fabricating artificial lattices in semiconductors and their promise for quantum simulation of topological materials, we study the one-dimensional dimerized Fermi-Hubbard model. We show how the topological…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Nguyen H. Le , Andrew J. Fisher , Neil J. Curson , Eran Ginossar

The particles in the honeycomb lattice with on-site $s$-wave pairing exhibit many interesting behaviors, which can be described in the framework of the Hubbard model. Among others, at the half-filling, some critical value $|U_c|$ of pairing…

Superconductivity · Physics 2024-01-24 Agnieszka Cichy , Konrad J. Kapcia , Andrzej Ptok

Edge states of photonic crystals have attracted much attention for the potential applications such as high transmission waveguide bends, spin dependent splitters and one-way photonic circuits. Here, we theoretically discuss and…

First-order, rhombohedral to orthorhombic, stress-induced phase transitions have been evidenced by bulk charge-stress measurements and X-ray diffraction derived lattice strain measurements in [001]c-poled PZN-4.5PT. The transitions are…

Materials Science · Physics 2007-05-23 P. -E. Janolin , M. Davis , B. Dkhil , D. Damjanovic , N. Setter

We systematically investigate the topological and localization properties of a quadrupolar insulator represented by the celebrated Benalcazar-Bernevig-Hughes model in presence of a quasiperiodic disorder instilled in its hopping amplitude.…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Srijata Lahiri , Saurabh Basu

Three-dimensional topological insulators (3D-TIs) possess a specific topological order of electronic bands, resulting in gapless surface states via bulk-edge correspondence. Exotic phenomena have been realized in ferromagnetic TIs, such as…

Materials Science · Physics 2020-04-29 Y. Satake , J. Shiogai , G. P. Mazur , S. Kimura , S. Awaji , K. Fujiwara , T. Nojima , K. Nomura , S. Souma , T. Sato , T. Dietl , A. Tsukazaki

We investigate bilayer and trilayer systems composed of topologically distinct, vertically stacked layers, forming topological heterostructures based on the Benalcazar-Bernevig-Hughes model. We find that a topological phase transition…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Natsuko Ishida , Motohiko Ezawa , Guangtai Lu , Wenbo Lin , Yasutomo Ota , Yasuhiko Arakawa , Satoshi Iwamoto