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Recently, the field of strongly correlated electrons has begun an intense search for a correlation induced topological insulating phase. An example is the quadratic band touching point which arises in a checkerboard lattice at half-filling,…

Strongly Correlated Electrons · Physics 2019-03-28 I. Mandal , S. Gemsheim

We theoretically investigate a two-dimensional heterostructure composed of a topological insulator (TI) and a Mott insulator (MI), and clarify what kind of electronic states can be realized at the interface. By using inhomogeneous dynamical…

Strongly Correlated Electrons · Physics 2013-09-13 Suguru Ueda , Norio Kawakami , Manfred Sigrist

We theoretically investigate the heterostructure between a ferrimagnetic Mott insulator and a time-reversal invariant topological band insulator on the two-dimensional Lieb lattice with periodic boundary conditions. Our Hartree-Fock and…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Rahul Ghosh , Subhajyoti Pal , Kush Saha , Anamitra Mukherjee

We investigate proximity effects in a correlated heterostructure of a two-dimensional Mott insulator (MI) and a topological insulator (TI) by employing inhomogeneous dynamical mean-field theory. We show that the edge state of the TI induces…

Strongly Correlated Electrons · Physics 2015-06-15 Suguru Ueda , Norio Kawakami , Manfred Sigrist

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

We address how the nature of linearly dispersing edge states of two dimensional (2D) topological insulators evolves with increasing electron-electron correlation engendered by a Hubbard like on-site repulsion $U$ in finite ribbons of two…

Strongly Correlated Electrons · Physics 2012-06-26 Amal Medhi , Vijay B. Shenoy , H. R. Krishnamurthy

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 analyze the effects of the local Coulomb interaction on a topological band insulator (TBI) by applying the dynamical mean field theory to a generalized Bernevig-Hughes-Zhang model having electron correlations. It is elucidated how the…

Strongly Correlated Electrons · Physics 2012-09-20 Tsuneya Yoshida , Satoshi Fujimoto , Norio Kawakami

Topological phases of matter are among the most intriguing research directions in Condensed Matter Physics. It is known that superconductivity induced on a topological insulator's surface can lead to exotic Majorana modes, the main…

Strongly Correlated Electrons · Physics 2021-05-20 J. Herbrych , M. Środa , G. Alvarez , M. Mierzejewski , E. Dagotto

The discovery of the quantum spin Hall effect and topological insulators more than a decade ago has revolutionized modern condensed matter physics. Today, the field of topological states of matter is one of the most active and fruitful…

Strongly Correlated Electrons · Physics 2018-10-24 Stephan Rachel

We investigate properties of a topological Mott insulator in one dimension by examining the bulk topological invariant and the entanglement spectrum of a correlated electron model. We clarify how gapless edge states in a non-interacting…

Strongly Correlated Electrons · Physics 2014-06-10 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

We investigate the role of short-ranged electron-electron interactions in a paradigmatic model of three dimensional topological insulators, using dynamical mean-field theory and focusing on non magnetically ordered solutions. The…

Strongly Correlated Electrons · Physics 2016-06-09 A. Amaricci , J. C. Budich , M. Capone , B. Trauzettel , G. Sangiovanni

By means of exact diagonalizations, the Bernevig-Hughes-Zhang model at quarter-filling in the limit of strong Hubbard on-site repulsion is investigated. We find that the non-interacting metallic state will be turned into a Chern insulator…

Strongly Correlated Electrons · Physics 2025-04-09 Yu-Chin Tzeng , Po-Yao Chang , Min-Fong Yang

We investigate the ground state phase diagram of the half-filled repulsive Hubbard model in two dimensions in the presence of a staggered potential $\Delta$, the so-called ionic Hubbard model, using cluster dynamical mean field theory. We…

Strongly Correlated Electrons · Physics 2015-06-25 S. S. Kancharla , E. Dagotto

The topological properties of the one-dimensional interacting systems with spatially modulated interaction in two-particle regime are theoretically investigated. Taking the boson-Hubbard model and spinless fermion interacting model as…

Strongly Correlated Electrons · Physics 2025-02-11 Zheng-Wei Zuo , Wanwan Shi , Haisheng Li

We study the Kane-Mele-Hubbard model with an additional inversion-symmetry-breaking term. Using the topological Hamiltonian approach, we calculate the $\mathbb{Z}_2$ invariant of the system as function of spin-orbit coupling, Hubbard…

Strongly Correlated Electrons · Physics 2016-12-14 Robert Triebl , Markus Aichhorn

We study quantum spin Hall insulators with local Coulomb interactions in the presence of boundaries using dynamical mean field theory. We investigate the different influence of the Coulomb interaction on the bulk and the edge states.…

Strongly Correlated Electrons · Physics 2017-05-17 A. Amaricci , G. Sangiovanni , L. Privitera , F. Petocchi , M. Capone , B. Trauzettel

We address the co-existence of massless and massive topological edge states at the interface between two materials with different topological phases. We modify the well known Bernevig-Hughes-Zhang model to introduce a smooth function…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Tineke L. van den Berg , M. Reyes Calvo , Dario Bercioux

We study a model of a covalent band insulator with on-site Coulomb repulsion at half-filling using dynamical mean-field theory. Upon increasing the interaction strength the system undergoes a discontinuous transition from a correlated band…

Strongly Correlated Electrons · Physics 2009-10-16 Michael Sentef , Jan Kunes , Philipp Werner , Arno P. Kampf

Two-dimensional topological insulators possess conducting edge states at their boundary while being insulating in the bulk. The detection of edge states remains an open question in ultracold atom setups. We propose a configuration to…

Quantum Gases · Physics 2020-06-30 Bernhard Irsigler , Jun-Hui Zheng , Walter Hofstetter
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