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We numerically investigate the surface states of a strong topological insulator in the presence of strong electron-electron interactions. We choose a spherical topological insulator geometry to make the surface amenable to a finite size…

Strongly Correlated Electrons · Physics 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is…

Strongly Correlated Electrons · Physics 2021-07-14 Titas Chanda , Rebecca Kraus , Giovanna Morigi , Jakub Zakrzewski

We study strong correlation effects in topological insulators via the Lanczos algorithm, which we utilize to calculate the exact many-particle ground-state wave function and its topological properties. We analyze the simple, noninteracting…

Strongly Correlated Electrons · Physics 2010-09-29 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

Motivated by the recent progress in engineering artificial non-Abelian gauge fields for ultracold fermions in optical lattices, we investigate the time-reversal-invariant Hofstadter-Hubbard model. We include an additional staggered lattice…

We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase -- an interaction-driven topological insulator -- using cold atoms in an optical Lieb lattice. To this end, we study a…

Quantum Gases · Physics 2016-04-20 A. Dauphin , M. Müller , M. A. Martin-Delgado

Topological phases of matter are primarily studied in systems with short-range interactions. In nature, however, non-relativistic quantum systems often exhibit long-range interactions. Under what conditions topological phases survive such…

We study the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per…

Strongly Correlated Electrons · Physics 2014-11-11 Lei Wang , Hsiang-Hsuan Hung , Matthias Troyer

The realization of artificial gauge fields in ultracold atomic gases has opened up a path towards experimental studies of topological insulators and, as an ultimate goal, topological quantum matter in many-body systems. As an alternative to…

Strongly Correlated Electrons · Physics 2020-10-29 Leo Stenzel , Andrew L. C. Hayward , Claudius Hubig , Ulrich Schollwöck , Fabian Heidrich-Meisner

Recent developments of experimental techniques have given us unprecedented opportunities of studying topological insulators in high dimensions, while some of the dimensions are "synthetic", in the sense that the effective lattice momenta…

Strongly Correlated Electrons · Physics 2018-11-28 Chao-Ming Jian , Cenke Xu

Materials with non-trivial topology in their electronic structures enforce the existence of helical Dirac fermionic surface states. We discovered emergent topological phases in the stacked structures of topological insulator and band…

Materials Science · Physics 2012-06-15 Jeongwoo Kim , Jinwoong Kim , Ki-Seok Kim , Seung-Hoon Jhi

We show that in a system of one dimensional spinless fermions a topological phase and phase transition can emerge only through interaction. By allowing a dimerized or bond-alternating nearest neighbour interaction we show that the system…

Strongly Correlated Electrons · Physics 2022-11-17 Suman Mondal , Ashirbad Padhan , Tapan Mishra

Majorana fermions were proposed to occur at edges and interfaces of gapped one-dimensional systems where phases with different topological character meet due to an interplay of spin-orbit coupling, proximity-induced superconductivity and…

Strongly Correlated Electrons · Physics 2013-05-29 Eran Sela , Alexander Altland , Achim Rosch

Motivated by recently reported magnetic-field induced topological phases in ultracold atoms and correlated Moir\'e materials, we investigate topological phase transitions in a minimal model consisting of interacting spinless fermions…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Axel Fünfhaus , Marius Möller , Thilo Kopp , Roser Valentí

We construct a lattice model for a cubic Kondo insulator consisting of one spin-degenerate $d$ and $f$ orbital at each lattice site. The odd-parity hybridization between the two orbitals permits us to obtain various trivial and topological…

Strongly Correlated Electrons · Physics 2014-02-13 Markus Legner , Andreas Rüegg , Manfred Sigrist

We study the effect of electron interactions in topological crystalline insulators (TCIs) protected by mirror symmetry, which are realized in the SnTe material class and host multi-valley Dirac fermion surface states. We find that…

Strongly Correlated Electrons · Physics 2015-08-19 Hiroki Isobe , Liang Fu

Recently, it has been found that there exist symmetry-protected topological phases of fermions, which have no realizations in non-interacting fermionic systems or bosonic models. We study the edge states of such an intrinsically interacting…

Strongly Correlated Electrons · Physics 2020-08-05 Joseph Sullivan , Meng Cheng

We propose a general scheme for diagnosing interaction-driven topological phases in the weak interaction regime using exact diagonalization (ED). The scheme comprises the analysis of eigenvalues of the point-group operators for the…

Strongly Correlated Electrons · Physics 2016-08-09 Han-Qing Wu , Yuan-Yao He , Chen Fang , Zi Yang Meng , Zhong-Yi Lu

We consider a helical spin liquid system which shows majorana fermion modes at the edge. The interaction between the quasiparticles in this system induces phase transition, Majorana-Ising transition. We comply the density matrix…

Strongly Correlated Electrons · Physics 2017-08-02 Dayasindhu Dey , Sudip Kumar Saha , P. Singha Deo , Manoranjan Kumar , Sujit Sarkar

Fracton topological phases host fractionalized topological quasiparticles with restricted mobility, with promising applications to fault-tolerant quantum computation. While a variety of exactly solvable fracton models have been proposed,…

Strongly Correlated Electrons · Physics 2019-08-21 Yizhi You , Felix von Oppen

Recently, a homogeneous superfluid state with a single gapless Fermi surface was predicted to be the ground state of an ultracold Fermi gas with spin population imbalance in the regime of molecular Bose-Einstein condensation. We study…

Superconductivity · Physics 2009-01-14 Vladimir M. Stojanovic , W. Vincent Liu , Yong Baek Kim