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High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

Superconductivity · Physics 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu

The extended Hubbard model with a nearest-neighbor Coulomb repulsion on the square lattice is studied to obtain insight into the phase diagram of cuprate high $T_c$ superconductors (HTS). To pursue the hidden-order scenario proposed in [S.…

Superconductivity · Physics 2019-07-17 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

Higher-order topological insulators, which support lower-dimensional topological boundary states than the first-order topological insulators, have been intensely investigated in the integer dimensional systems. Here, we provide a new…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Junkai Li , Qingyang Mo , Jian-Hua Jiang , Zhaoju Yang

Quadrupole phase, as a novel high-order topological phase, exhibits nontrivial gapless states at the boundaries whose dimension is lower than bulk by two. However, this phase has not been observed experimentally in two-dimensional (2D)…

Materials Science · Physics 2022-11-03 Z. H. Li , P. Zhou , Q. H. Yan , X. Y. Peng , Z. S. Ma , L. Z. Sun

Higher-order topological phases are gapped phases of matter that host gapless corner or hinge modes. For the case of superconductors, corner or hinge modes are gapless Majorana modes or Majorana zero modes. To construct 3d higher-order…

Superconductivity · Physics 2023-12-13 Ryota Nakai , Kentaro Nomura

We propose a theoretical scheme to realize two-dimensional higher-order Weyl semimetals using a trilayer topological insulator film coupled with a d-wave altermagnet. Our results show that the trilayer topological insulator exhibits…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Lizhou Liu , Qing-Feng Sun , Ying-Tao Zhang

Recently discovered photonic higher-order topological insulators enable unprecedented flexibility in the robust localization of light in structures of different dimensionality. While the potential of the two-dimensional systems is currently…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Valerii I. Kachin , Maxim A. Gorlach

The induction of spin density wave (SDW) and charge density wave (CDW) orderings in the mixed state of high $T_c$ superconductors (HTS) is investigated by using the self-consistent Bogoliubov-de Gennes equations based upon an effective…

Superconductivity · Physics 2009-11-07 Yan Chen , C. S. Ting

We investigate the charge density wave phase in the strongly correlated Hubbard model without any other broken symmetry phase. Starting from the atomic Hamiltonian with no hopping, we generate quasiparticle operators corresponding to holons…

Strongly Correlated Electrons · Physics 2025-04-17 Anurag Banerjee , Emile Pangburn , Chiranjit Mahato , Amit Ghosal , Catherine Pépin

We investigate the groundstate properties of a recently proposed model for a topological Kondo insulator in one dimension (i.e., the $p$-wave Kondo-Heisenberg lattice model) by means of the Density Matrix Renormalization Group method. The…

Strongly Correlated Electrons · Physics 2015-12-02 Alejandro Mezio , Alejandro M. Lobos , Ariel O. Dobry , Claudio J. Gazza

We propose an intrinsic 3D Fabry-P\'erot type interferometer, coined "higher-order interferometer", that utilizes the chiral hinge states of second-order topological insulators and cannot be equivalently mapped to 2D space because of…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Chang-An Li , Song-Bo Zhang , Jian Li , Björn Trauzettel

We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

We show that higher-order topological insulators can be created from usual square structure by twisting waveguides in each unit cell around the axis passing through the center of the unit cell, even without changing intracell distance…

Optics · Physics 2024-06-28 Yaroslav V. Kartashov

We show that topological phases with fractional excitations can occur in two-dimensional ultracold dipolar gases on a particular class of optical lattices. Due to the dipolar interaction and lattice confinement, a quantum dimer model…

Quantum Gases · Physics 2010-04-26 Kai Sun , Erhai Zhao , W. Vincent Liu

The integration of topological concepts into electronic energy band theory has been a transformative development in condensed matter physics. Since then, this paradigm has broadened its reach, extending to a variety of physical systems,…

Superconductivity · Physics 2024-02-28 Bao Chen , Kaiyun Pang , Ru Zheng , Feng Liu

Motivated by the recent observations of nodeless superconductivity in the monolayer CuO$_{2}$ grown on the Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta }$ substrates, we study the two-dimensional superconducting (SC) phases described by the…

Superconductivity · Physics 2017-07-11 Guo-Yi Zhu , Ziqiang Wang , Guang-Ming Zhang

We show, using density matrix renormalization group calculations complemented by field theoretic arguments, that the spin gapped phase of the one dimensional Kondo-Heisenberg model exhibits quasi-long range superconducting correlations {\it…

Superconductivity · Physics 2010-10-13 Erez Berg , Eduardo Fradkin , Steven A. Kivelson

Topological models are characterized by a quantized topological invariant and provide a description of novel phases of matter that can exhibit localized edge states, corner modes, and chiral transport. We experimentally realize two 1-D…

Charge density waves (CDWs) appear in numerous condensed matter platforms, ranging from high-Tc superconductors to quantum Hall systems. Despite such ubiquity, there has been a lack of direct experimental study on boundary states that can…

Topological states have been widely investigated in different types of systems and lattices. In the present work, we report on topological edge states in double-wave (DW) chains, which can be described by a generalized Aubry-Andr\'e-Harper…

Quantum Gases · Physics 2024-01-17 Tobias Schneider , Wenlong Gao , Thomas Zentgraf , Stefan Schumacher , Xuekai Ma