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We introduce higher-order topological Dirac superconductor (HOTDSC) as a new gapless topological phase of matter in three dimensions, which extends the notion of Dirac phase to a higher-order topological version. Topologically distinct from…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 Rui-Xing Zhang , Yi-Ting Hsu , S. Das Sarma

A Dirac fermion emerges as a result of interplay between symmetry and topology in condensed matter. Current research moves towards investigating the Dirac fermions in the presence of manybody effects in correlated system. Here, we…

Strongly Correlated Electrons · Physics 2020-07-15 J. W. Han , Sun-Woo Kim , W. S. Kyung , C. Kim , G. Cao , X. Chen , S. D. Wilson , Sangmo Cheon , J. S. Lee

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

A pair of Dirac points (analogous to a vortex-antivortex pair) associated with opposite topological numbers (with $\pm\pi$ Berry phases) can be merged together through parameter tuning and annihilated to gap the Dirac spectrum, offering a…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Yang Xu , Guodong Jiang , Ireneusz Miotkowski , Rudro R. Biswas , Yong P. Chen

Semi-Dirac semimetal is a material exhibiting linear band dispersion in one direction and quadratic band dispersion in the orthogonal direction and, therefore, hosts massless and massive fermions at the same point in the momentum space.…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Chengyong Zhong , Yuanping Chen , Yuee Xie , Yi-Yang Sun , Shengbai Zhang

Gross-Neveu-Yukawa-type models such as the chiral Ising, chiral XY, and chiral Heisenberg models, serve as effective descriptions of two-dimensional Dirac semi-metals undergoing quantum phase transitions into various symmetry-broken ordered…

Strongly Correlated Electrons · Physics 2025-09-17 Mireia Tolosa-Simeón , Laura Classen , Michael M. Scherer

Dirac semimetals (DSMs) are an important class of topological states of matter. Here, focusing on DSMs of band inversion type, we investigate their boundary modes from the effective model perspective. We show that in order to properly…

Materials Science · Physics 2023-01-18 Xu-Tao Zeng , Ziyu Chen , Cong Chen , Bin-Bin Liu , Xian-Lei Sheng , Shengyuan A. Yang

We study a class of periodic Schr\"odinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic…

Mathematical Physics · Physics 2015-04-09 Charles L. Fefferman , James P. Lee-Thorp , Michael I. Weinstein

Metals with values of the resistivity and the Hall coefficient much larger than typical ones, e.g., of sodium, are called semimetals. We suggest a model for semimetals which takes into account the strong Coulomb repulsion of the charge…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Blawid

One-dimensional quasi-periodic systems with power-law hopping, $1/r^a$, differ from both the standard Aubry-Azbel-Harper (AAH) model and from power-law systems with uncorrelated disorder. Whereas in the AAH model all single-particle states…

Disordered Systems and Neural Networks · Physics 2019-07-17 X. Deng , S. Ray , S. Sinha , G. V. Shlyapnikov , L. Santos

The dislocation in Dirac semimetal carries an emergent magnetic flux parallel to the dislocation axis. We show that due to the emergent magnetic field the dislocation accommodates a single fermion massless mode of the corresponding…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 M. N. Chernodub , Mikhail Zubkov

We propose a general framework for constructing a large set of nodal-point semimetals by tuning the number of linearly ($d_L$) and (at most) quadratically ($d_Q$) dispersing directions. By virtue of such a unifying scheme, we identify a new…

Strongly Correlated Electrons · Physics 2019-11-15 Shouvik Sur , Bitan Roy

The topological states of matter and topological materials have been attracting extensive interests as one of the frontier topics in condensed matter physics and materials science since the discovery of quantum Hall effect in 1980s. So far…

Mesoscale and Nanoscale Physics · Physics 2022-03-03 Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Huan-Wen Wang , Shun-Qing Shen

We examine the possible existence of Dirac semimetal with magnetic order in a two-dimensional system with a nonsymmorphic symmetry by using the Hartree-Fock mean-field theory within the Hubbard model. We locate the region in the…

Strongly Correlated Electrons · Physics 2024-01-09 Garima Goyal , Dheeraj Kumar Singh

Three-dimensional topological semimetals can support band crossings along one-dimensional curves in the momentum space (nodal lines or Dirac lines) protected by structural symmetries and topology. We consider rhombohedrally (ABC) stacked…

Mesoscale and Nanoscale Physics · Physics 2018-01-15 T. Hyart , R. Ojajärvi , T. T. Heikkilä

In electronic topological Dirac semimetals the conduction and valence bands touch at discrete points in the Brillouin zone and form Dirac cones. They are robust against spin-orbit interaction (SOI) and protected by crystal symmetries. They…

Strongly Correlated Electrons · Physics 2017-09-27 S. A. Owerre

Dirac materials have unique transport properties, partly due to the presence of surface states. A new type of Dirac materials, protected by non-symmorphic symmetries was recently proposed by Young and Kane [1]. By breaking of time reversal…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 P. G. Matveeva , D. N. Aristov , D. Meidan , D. B. Gutman

Transition-metal honeycomb compounds are capturing scientific attention due to their distinctive electronic configurations, underscored by the triangular-lattice spin-orbit coupling and competition between multiple interactions, paving the…

We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion $U$, where we explicitly include a deviation from the linearity of the…

Strongly Correlated Electrons · Physics 2025-03-18 Arianna Poli , Niklas Wagner , Max Fischer , Alessandro Toschi , Giorgio Sangiovanni , Sergio Ciuchi

The interband optical response of a three-dimensional Dirac cone is linear in photon energy ($\Omega$). Here, we study the evolution of the interband response within a model Hamiltonian which contains Dirac, Weyl and gapped semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 C. J. Tabert , J. P. Carbotte
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