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Topological materials can host edge and corner states that are protected from disorder and material imperfections. In particular, the topological edge states of mechanical structures present unmatched opportunities for achieving robust…

Materials Science · Physics 2023-04-12 Marcelo Guzman , Xiaofei Guo , Corentin Coulais , David Carpentier , Denis Bartolo

We theoretically demonstrate hybrid-order topology in a two-dimensional nonsymmorphic antiferromagnet. Utilizing a generic antiferromagnetic Dirac model with a symmetry-allowed, momentum-dependent spin-density-wave (SDW) mass, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Wei Xiong , Zi-Ming Wang , Xin-Mei Wei , Rui Wang , Dong-Hui Xu

In this paper, we study periodically modulated $s=1/2$ spin chain in a linear gradient potential (LP) that is generated by an external magnetic field. In the absence of the LP, the system has topological states that exhibit a magnetization…

Strongly Correlated Electrons · Physics 2019-12-11 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

We propose a general principle for realizing second-order topological corner states in the modified Kane-Mele model with magnetization. It is demonstrated that the sign of the edge Dirac mass depends on the magnetization of the edge…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Cheng-Ming Miao , Lizhou Liu , Yu-Hao Wan , Qing-Feng Sun , Ying-Tao Zhang

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

Topology in quantum many-body systems has profoundly changed our understanding of quantum phases of matter. The paradigmatic model that has played an instrumental role in elucidating these effects is the antiferromagnetic spin-1 Haldane…

Spatially nonhomogeneously spin polarized nuclei are proposed as a new mechanism to monitor electron states in a nanostructure, or as a means to createn and, if necessary, reshape such nanostructures in the course of the experiment. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. Fleurov , V. A. Ivanov , F. M. Peeters , I. D. Vagner

Both spin and orbital degrees of freedom contribute to the magnetic moment of isolated atoms. However, when inserted in crystals, atomic orbital moments are quenched because of the lack of rotational symmetry that protects them when…

Mesoscale and Nanoscale Physics · Physics 2015-09-10 P. Potasz , J. Fernandez-Rossier

Topological phases have been explored in various fields in physics such as spintronics, photonics, liquid helium, correlated electron system and cold-atomic system. This leads to the recent foundation of emerging materials such as…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Ryuichi Shindou , Ryo Matsumoto , Shuichi Murakami , Jun-ichiro Ohe

We show that a gapped spin-$S$ chain with antiferromagnetic (AFM) order exhibits in the thermodynamic limit exponentially localized fractional $\pm \frac{S}{2}$ edge modes when the system possesses U(1) symmetry. We show this for integrable…

Strongly Correlated Electrons · Physics 2025-06-05 Pradip Kattel , Yicheng Tang , J. H. Pixley , Natan Andrei

We use spatial spin separation by a magnetic focusing technique to probe the polarization of quantum point contacts. The point contacts are fabricated from p-type GaAs/AlGaAs heterostructures. A finite polarization is measured in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. P. Rokhinson , L. N. Pfeiffer , K. W. West

We study the edge physics of gapped quantum systems in the framework of Projected Entangled Pair State (PEPS) models. We show that the effective low-energy model for any region acts on the entanglement degrees of freedom at the boundary,…

Strongly Correlated Electrons · Physics 2014-01-28 S. Yang , L. Lehman , D. Poilblanc , K. Van Acoleyen , F. Verstraete , J. I. Cirac , N. Schuch

We investigate the edge conductance of particles submitted to an Iwatsuka magnetic field, playing the role of a purely magnetic barrier. We also consider magnetic guides generated by generalized Iwatsuka potentials. In both cases we prove…

Spectral Theory · Mathematics 2015-05-19 N. Dombrowski , F. Germinet , G. D. Raikov

We have developed a novel technique for detection of spin polarization with a quantum dot weakly coupled to the objective device. The disturbance to the object in this technique is very small since the detection is performed through…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Sunwoo Kim , Yoshiaki Hashimoto , Taketomo Nakamura , Shingo Katsumoto

One of the most intriguing and fundamental properties of topological materials is the correspondence between the conducting edge states and the gapped bulk spectrum. So far, it has been impossible to access the full evolution of edge states…

We report on the transition from magnetic edge to electric edge transport in a split magnetic gate device which applies a notch magnetic field to a two-dimensional electron gas. The gate bias allows tuning the overlap of magnetic and…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Alain Nogaret , Puja Mondal , Ankip Kumar , Sankalpa Ghosh , Harvey Beere , David Ritchi

We prove a general theorem on the relation between the bulk topological quantum number and the edge states in two dimensional insulators. It is shown that whenever there is a topological order in bulk, characterized by a non-vanishing Chern…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Xiao-Liang Qi , Yong-Shi Wu , Shou-Cheng Zhang

Robust edge transport can occur when particles in crystalline lattices interact with an external magnetic field. This system is well described by Bloch's theorem, with the spectrum being composed of bands of bulk states and in-gap edge…

Strongly Correlated Electrons · Physics 2023-09-08 Dean Johnstone , Matthew J. Colbrook , Anne E. B. Nielsen , Patrik Öhberg , Callum W. Duncan

The bulk-boundary correspondence guarantees topologically protected edge states in a two-dimensional topological superconductor. Unlike in topological insulators, these edge states are, however, not connected to a quantized (spin) current…

Superconductivity · Physics 2025-02-07 Maximilian F. Holst , Manfred Sigrist , Mark H. Fischer

Bulk-edge correspondence, with quantized bulk topology leading to protected edge states, is a hallmark of topological states of matter and has been experimentally observed in electronic, atomic, photonic, and many other systems. While…