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A remarkable consequence of the Hohenberg-Kohn theorem of density functional theory is the existence of an injective map between the electronic density and any observable of the many electron problem in an external potential. In this work,…

Disordered Systems and Neural Networks · Physics 2021-08-16 Javier Robledo Moreno , Johannes Flick , Antoine Georges

Inspired by the topological insulator circuit proposed and experimentally verified by Jia., et al. \cite{1}, we theoretically realized the topological Lieb lattice, a line centered square lattice with rich topological properties, in a…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Weiwei Zhu , Shanshan Hou , Yang Long , Hong Chen , Jie Ren

The quantum spin Hall effect has been predicted theoretically and observed experimentally in InAs/GaSb quantum wells as a result of inverted band structures, for which electron bands in InAs layers are below heavy hole bands in GaSb layers…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Lun-Hui Hu , Chao-Xing Liu , Dong-Hui Xu , Fu-Chun Zhang , Yi Zhou

Though most fermionic Mott insulators order at low temperatures, ordering is ancillary to their insulating behaviour. Our emphasis here is on disentangling ordering from the intrinsic strongly correlated physics of a doped half-filled band.…

Strongly Correlated Electrons · Physics 2009-11-10 Tudor D. Stanescu , Philip Phillips

We study anisotropic lattice strips in the presence of a magnetic field in the quantum Hall effect regime. At specific magnetic fields, causing resonant Umklapp scattering, the system is gapped in the bulk and supports chiral edge states in…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Jelena Klinovaja , Daniel Loss

By designing a multi-channel millimeter Hall measurement configuration, we realize the carrier-density (locally) controllable measurement on the transport property in 2H MoS$_{2}$. We observe a linearly increased Hall conductivity and…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Chen-Huan Wu , Yida Li

We investigate the ground-state phase diagram of the one-dimensional "ionic" Hubbard model with an alternating periodic potential at half-filling by numerical diagonalization of finite systems with the Lanczos and density matrix…

Strongly Correlated Electrons · Physics 2009-11-10 A. P. Kampf , M. Sekania , G. I. Japaridze , Ph. Brune

We study the entanglement spectrum of noninteracting band insulators, which can be computed from the two-point correlation function, when restricted to one part of the system. In particular, we analyze a type of partitioning of the system…

Strongly Correlated Electrons · Physics 2013-09-18 Markus Legner , Titus Neupert

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators are insulating in the bulk but have…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 M. Kotulla , U. Zülicke

We study how the stability of the fractional quantum Hall effect (FQHE) is influenced by the geometry of band structure in lattice Chern insulators. We consider the Hofstadter model, which converges to continuum Landau levels in the limit…

Strongly Correlated Electrons · Physics 2016-06-22 T. S. Jackson , David Bauer , Rahul Roy

We review low and high field magnetotransport in 80 nm-thick strained HgTe, a material that belongs to the class of strong three-dimensional topological insulators. Utilizing a top gate, the Fermi level can be tuned from the valence band…

Mesoscale and Nanoscale Physics · Physics 2020-07-02 Johannes Ziegler , Dmitriy A. Kozlov , Nikolay N. Mikhailov , Sergey A. Dvoretsky , Dieter Weiss

The nontrivial band gap plays a critical role in quantum anomalous Hall (QAH) insulators. In this work, we propose that the intrinsic QAH phase with sizable band gaps up to 367 meV is achieved in two-dimensional hexagonal organometallic…

Mesoscale and Nanoscale Physics · Physics 2018-12-24 Yuanjun Jin , Zhongjia Chen , Bowen Xia , Yujun Zhao , Rui Wang , Hu Xu

We calculate numerically the spectrum of disordered electrons in the lowest Landau level at filling factor 1/5 using the self-consistent Hartree-Fock approximation for systems containing up to 400 flux quanta. Special attention is paid to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael Backhaus , Bodo Huckestein

Certain insulating materials with strong spin-orbit coupling can conduct currents along their edges or surfaces. This phenomenon arises from the non-trivial topological properties of the electronic band-structure, and is somewhat similar to…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Tanja Duric , Zlatko Tesanovic

Determinant Quantum Monte Carlo (DQMC) is used to study the effect of non-zero hopping t_f in the localized f-band of the periodic Anderson model (PAM) in two dimensions. The low temperature properties are determined in the plane of…

Strongly Correlated Electrons · Physics 2015-07-03 Axel Euverte , Simone Chiesa , Richard T. Scalettar , George G. Batrouni

Metal-insulator transition materials such as NbO2 have generated much excitement in recent years for their potential applications in computing and sensing. NbO2 has generated considerable debate over the nature of the phase transition, and…

We show that the topological index of a wavefunction, computed in the space of twisted boundary phases, is preserved under Hilbert space truncation, provided the truncated state remains normalizable. If truncation affects the boundary…

Strongly Correlated Electrons · Physics 2018-01-09 Zhoushen Huang , W. Zhu , Daniel P. Arovas , Jian-Xin Zhu , Alexander V. Balatsky

We investigate the magneto-conductance (MC) anisotropy in the variable range hopping regime, caused by quantum interference effects in three dimensions. When no spin-orbit scattering is included, there is an increase in the localization…

Condensed Matter · Physics 2009-10-28 Ernesto Medina , Mehran Kardar , Rafael Rangel

The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Oskar Vafek