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We argue that a three dimensional electronic system with the Fermi level at the quadratic band touching point such as HgTe could be unstable with respect to the spontaneous formation of the (topological) Mott insulator at arbitrary weak…

Strongly Correlated Electrons · Physics 2014-09-04 Igor F. Herbut , Lukas Janssen

Chiral surface states in topological insulators are robust against interactions, non-magnetic disorder and localization, yet topology does not yield protection in transport. This work presents a theory of interacting topological insulators…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Dimitrie Culcer

We consider a thin film of a topological insulator (TI) sandwiched between two ferromagnetic (FM) layers. The system is additionally under an external gate voltage. The surface electron states of TI are magnetized due to the magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Piotr Pigoń , Anna Dyrdał

We demonstrate, using dynamical mean-field theory with the hybridization expansion continuous time quantum montecarlo impurity solver, a rich phase diagram with {\em correlation driven metallic and half-metallic phases} in a simple model of…

Strongly Correlated Electrons · Physics 2021-04-21 Soumen Bag , Arti Garg , H. R. Krishnamurthy

The properties of a phase with large correlation length can be strongly influenced by the underlying normal phase. We illustrate this by studying the half-filled two-dimensional Hubbard model using cellular dynamical mean-field theory with…

Strongly Correlated Electrons · Physics 2017-06-14 L. Fratino , P. Sémon , M. Charlebois , G. Sordi , A. -M. S. Tremblay

We consider a Hubbard model on a square lattice with an additional interaction, $W$, which depends upon the square of a near-neighbor hopping. At half-filling and a constant value of the Hubbard repulsion, increasing the strength of the…

Condensed Matter · Physics 2009-10-28 F. F. Assaad , M. Imada , D. J. Scalapino

Topological insulators are found in materials that have elements with strong spin orbit interaction. However, electron Coulomb repulsion also potentially generates the topological insulators as well as Chern insulators by the mechanism of…

Strongly Correlated Electrons · Physics 2014-07-01 Masatoshi Imada , Youhei Yamaji , Moyuru Kurita

Topology is routinely used to understand the physics of electronic insulators. However, for strongly interacting electronic matter, such as Mott insulators, a comprehensive topological characterization is still lacking. When their ground…

Strongly Correlated Electrons · Physics 2024-08-28 Martina O. Soldini , Ömer M. Aksoy , Titus Neupert

Higher-order topological crystalline phases in low-dimensional interacting quantum systems represent a challenging and largely unexplored research topic. Here, we derive a Hamiltonian describing fermions interacting through correlated…

Strongly Correlated Electrons · Physics 2023-01-04 A. Montorsi , U. Bhattacharya , Daniel González-Cuadra , M. Lewenstein , G. Palumbo , L. Barbiero

We consider the interaction between acceptor pairs in doped semiconductors in the limit of large inter-acceptor separation relevant for low doping densities. Modeling individual acceptors via the spherical model of Baldereschi and Lipari,…

Materials Science · Physics 2020-01-29 Adam C. Durst , Genesis Yang-Mejia , R. N. Bhatt

We use the determinant Quantum Monte Carlo method (DQMC) to study the interaction-driven semimetal to antiferromagnetic insulator transition in a $\pi$-flux Hamiltonian with modulated hoppings, a model which has two species of Dirac…

Strongly Correlated Electrons · Physics 2018-07-04 H. -M. Guo , Lei Wang , R. T. Scalettar

Three-dimensional topological insulators are an important class of modern materials, and a strong spin-orbit coupling is involved in making the bulk electronic states very different from those near the surface. Bi$_2$Se$_3$ is a model…

The modern theory of electric polarization in crystals associates the dipole moment of an insulator with a Berry phase of its electronic ground state [1, 2]. This concept constituted a breakthrough that not only solved the long-standing…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Christopher W. Peterson , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

We study the effects of short-ranged interactions on the $Z_2$ topological insulator phase, also known as the quantum spin Hall phase, in the Kane-Mele model at half-filling with staggered potentials which explicitly breaks the discrete…

Strongly Correlated Electrons · Physics 2014-09-16 Hsin-Hua Lai , Hsiang-Hsuan Hung

The proximity induced pair potential in a topological insulator-superconductor hybrid features an interesting superposition of a conventional spin-singlet component from the superconductor and a spin-triplet one induced by the surface state…

Mesoscale and Nanoscale Physics · Physics 2015-11-24 Pablo Burset , Bo Lu , Grigory Tkachov , Yukio Tanaka , Ewelina M. Hankiewicz , Bjoern Trauzettel

In this report we have analyzed a simple effective model for a description of magnetically ordered insulators. The Hamiltonian considered consists of the effective on-site interaction (U) and the intersite Ising-like magnetic exchange…

Strongly Correlated Electrons · Physics 2023-07-19 Szymon Murawski , Konrad Kapcia , Grzegorz Pawłowski , Stanisław Robaszkiewicz

Variational Monte Carlo is a many-body numerical method that scales well with system size. It has been extended to study the Green function only recently by Charlebois and Imada (2020). Here we generalize the approach to systems with open…

Strongly Correlated Electrons · Physics 2022-12-20 P. Rosenberg , D. Sénéchal , A. -M. S. Tremblay , M. Charlebois

We consider the effect of the internal nuclear quadrupole interaction on quantum tunneling in complex multi-atomic two-level systems. Two distinct regimes of strong and weak interactions are found. The regimes depend on the relationship…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. L. Burin , I. Ya. Polishchuk , P. Fulde , Y. Sereda

We calculate the one-particle density of states for the Mott-Hubbard insulating phase of the Hubbard model on a Bethe lattice in the limit of infinite coordination number. We employ the Kato-Takahashi perturbation theory around the…

Strongly Correlated Electrons · Physics 2007-05-23 Eva Kalinowski , Florian Gebhard

The ground state of the Hubbard model with nearest-neighbor hopping on the square lattice at half filling is known to be that of an antiferromagnetic (AFM) band insulator for any on-site repulsion. At finite temperature, the absence of…

Strongly Correlated Electrons · Physics 2020-02-04 Fedor Šimkovic , J. P. F. LeBlanc , Aaram J. Kim , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , Evgeny Kozik