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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…

强关联电子 · 物理学 2014-06-10 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

We investigate the emergence of topological features in the charge excitations of Mott insulators in the Chern-Hubbard model. In the strong correlation regime, treating electrons as the sum of holons and doublons excitations, we compute the…

强关联电子 · 物理学 2025-08-29 Emile Pangburn , Catherine Pépin , Anurag Banerjee

We investigate the Hubbard model on the honeycomb lattice with intrinsic spin orbit interactions as a paradigm for two-dimensional topological band insulators in the presence of interactions. Applying a combination of Hartree-Fock theory,…

强关联电子 · 物理学 2015-03-13 Stephan Rachel , Karyn Le Hur

The topological classification of electronic band structures is based on symmetry properties of Bloch eigenstates of single-particle Hamiltonians. In parallel, topological field theory has opened the doors to the formulation and…

We study a bilayer Kane-Mele-Hubbard model with lattice distortion and inter-layer spin exchange interaction under cylinder geometry. Our analysis based on real-space dynamical mean field theory with continuous-time quantum Monte Carlo…

强关联电子 · 物理学 2016-09-07 Tsuneya Yoshida , Norio Kawakami

Topological insulators are noninteracting, gapped fermionic systems which have gapless boundary excitations. They are characterized by topological invariants, which can be written in many different ways, including in terms of Green's…

介观与纳米尺度物理 · 物理学 2011-09-29 Andrew M. Essin , Victor Gurarie

We construct a Green function, which can identify the topological nature of interacting systems. It is equivalent to the single-particle Green function of effective non-interacting particles, the Bloch Hamiltonian of which is given by the…

强关联电子 · 物理学 2022-04-20 Minh-Tien Tran , Duong-Bo Nguyen , Hong-Son Nguyen , Thanh-Mai Thi Tran

Lattice symmetries are central to the characterization of electronic topology. Recently, it was shown that Green's function eigenvectors form a representation of the space group. This formulation has allowed the identification of gapless…

强关联电子 · 物理学 2024-07-31 Chandan Setty , Shouvik Sur , Lei Chen , Fang Xie , Haoyu Hu , Silke Paschen , Jennifer Cano , Qimiao Si

The description of interactions in strongly-correlated topological phases of matter remains a challenge. Here, we develop a stochastic functional approach for interacting topological insulators including both charge and spin channels. We…

强关联电子 · 物理学 2021-08-18 Joel Hutchinson , Philipp W. Klein , Karyn Le Hur

The electronic structure at the interface between a topological band insulator and a Mott insulator is studied within layer dynamical mean field theory. To represent the bulk phases of these systems, we use the generalized…

强关联电子 · 物理学 2015-06-22 H. Ishida , A. Liebsch

Topology without quasiparticles has emerged as a key framework for understanding Mott insulators, where Green's-function zeros encode nontrivial topological structure. Yet, experimental detection of these zeros represents a challenge. Using…

强关联电子 · 物理学 2026-03-03 Sayan Mitra , Fang Xie , Marek Kolmer , Qimiao Si , Chandan Setty

We show that the Mott metal-insulator transition in the standard one-band Hubbard model can be understood as a topological phase transition. Our approach is inspired by the observation that the mid-gap pole in the self-energy of a Mott…

强关联电子 · 物理学 2020-08-26 Sudeshna Sen , Patrick J. Wong , Andrew K. Mitchell

We study the two-dimensional Kane-Mele-Hubbard model at half filling by means of quantum Monte Carlo simulations. We present a refined phase boundary for the quantum spin liquid. The topological insulator at finite Hubbard interaction…

强关联电子 · 物理学 2012-03-30 M. Hohenadler , Z. Y. Meng , T. C. Lang , S. Wessel , A. Muramatsu , F. F. Assaad

This study demonstrates that the zeros of the diagonal components of Green functions are key quantities that can detect non-interacting topological insulators. We show that zeros of the Green functions traverse the band gap in the…

介观与纳米尺度物理 · 物理学 2022-08-30 Takahiro Misawa , Youhei Yamaji

The Mott insulator is the quintessential strongly correlated electronic state. We obtain complete insight into the physics of the two-dimensional Mott insulator by extending the slave-fermion (holon-doublon) description to finite…

The interaction driven transition between quantum spin-Hall and Mott insulators in the Bernevig, Hughes and Zhang model is studied by dynamical cluster approximation, and found to be accompanied by the emergence of Green's function zeros…

强关联电子 · 物理学 2024-07-15 Ivan Pasqua , Andrea Blason , Michele Fabrizio

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…

介观与纳米尺度物理 · 物理学 2025-11-11 Rahul Ghosh , Subhajyoti Pal , Kush Saha , Anamitra Mukherjee

Topological insulators present a bulk gap, but allow for dissipationless spin transport along the edges. These exotic states are characterized by the $Z_2$ topological invariant and are protected by time-reversal symmetry. The Kane-Mele…

强关联电子 · 物理学 2013-12-10 Zi Yang Meng , Hsiang-Hsuan Hung , Thomas C. Lang

While one of the most important and intriguing features of the topological insulators is the presence of edge states, the closed-form expressions for the edge states of some famous topological models are still lacking. Here, we focus on the…

介观与纳米尺度物理 · 物理学 2023-05-31 Fatemeh Rahmati , Mohsen Amini , Morteza Soltani , Mozhgan Sadeghizadeh

There is extensive current interest about electronic topology in correlated settings. In strongly correlated systems, contours of Green's function zeros may develop in frequency-momentum space, and their role in correlated topology has…

强关联电子 · 物理学 2024-09-05 Chandan Setty , Fang Xie , Shouvik Sur , Lei Chen , Maia G. Vergniory , Qimiao Si
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