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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

We present simulation data of first-order isotropic-to-nematic transitions in lattice models of liquid crystals and locate the thermodynamic limit inverse transition temperature $\epsilon_\infty$ via finite-size scaling. We observe that the…

Statistical Mechanics · Physics 2009-06-24 J. M. Fish , R. L. C. Vink

We introduce the exceptional topological insulator (ETI), a non-Hermitian topological state of matter that features exotic non-Hermitian surface states which can only exist within the three-dimensional topological bulk embedding. We show…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 M. Michael Denner , Anastasiia Skurativska , Frank Schindler , Mark H. Fischer , Ronny Thomale , Tomáš Bzdušek , Titus Neupert

We introduce the electronic polarization originally defined in one-dimensional lattice systems to characterize two-dimensional topological insulators. The main idea is to use spiral boundary conditions which sweep all lattice sites in…

Strongly Correlated Electrons · Physics 2021-11-12 Masaaki Nakamura , Shohei Masuda , Satoshi Nishimoto

This article characterizes phase transitions in temperature within a specific space of H\"older continuous potentials, distinguished by their regularity and asymptotic behavior at zero. We also characterize the phase transitions in…

Dynamical Systems · Mathematics 2025-04-03 Daniel Coronel , Juan Rivera-Letelier

Nonzero weak topological indices are thought to be a necessary condition to bind a single helical mode to lattice dislocations. In this work we show that higher-order topological insulators (HOTIs) can, in fact, host a single helical mode…

Mesoscale and Nanoscale Physics · Physics 2019-12-30 Raquel Queiroz , Ion Cosma Fulga , Nurit Avraham , Haim Beidenkopf , Jennifer Cano

We study the equilibrium properties of dipolar Bose and Fermi gases at finite temperatures. We recently developed a variational ansatz for the phase-space distribution function of a dipolar Fermi gas at finite temperatures. We extend the…

Other Condensed Matter · Physics 2010-09-14 Yuki Endo , Takahiko Miyakawa , Tetsuro Nikuni

Topological entanglement entropy is a topological invariant which can detect topological order of quantum many-body ground state. We assume an existence of such order parameter at finite temperature which is invariant under smooth…

Quantum Physics · Physics 2013-05-30 Isaac H. Kim

Topological phase transitions in free fermion systems can be characterized by closing of single-particle gap and change in topological invariants. However, in the presence of electronic interactions, topological phase transitions are more…

Strongly Correlated Electrons · Physics 2016-06-08 Yuan-Yao He , Han-Qing Wu , Zi Yang Meng , Zhong-Yi Lu

Gapless surface states on topological insulators are protected from elastic scattering on non-magnetic impurities which makes them promising candidates for low-power electronic applications. However, for wide-spread applications, these…

Strongly Correlated Electrons · Physics 2013-07-04 Z. -H. Pan , E. Vescovo , A. V. Fedorov , G. D. Gu , T. Valla

Recently, much attention has been paid to second-order photonic topological insulators (SPTIs), because of their support for highly localized corner states with excellent robustness. SPTIs have been implemented in either transverse magnetic…

Optics · Physics 2023-08-24 Linlin Lei , Shuyuan Xiao , Wenxing Liu , Qinghua Liao , Lingjuan He , Tianbao Yu

We study phase transitions in a two dimensional weakly interacting Bose gas in a random potential at finite temperatures. We identify superfluid, normal fluid, and insulator phases and construct the phase diagram. At T=0 one has a…

Disordered Systems and Neural Networks · Physics 2018-07-26 G. Bertoli , V. P. Michal , B. L. Altshuler , G. V. Shlyapnikov

We study the second order finite temperature Mott transition point in the fully frustrated Hubbard model at half filling, within Dynamical Mean Field Theory. Using quantum Monte Carlo simulations we show the existence of a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Marcelo J. Rozenberg , R. Chitra , G. Kotliar

We demonstrate that HOTIs with the quantization of the quadrupole moments can be realized in the two-dimensional elastic phononic crystals (PnCs). Both one-dimensional (1D) topological edge states and zero-dimensional (0D) topological…

Applied Physics · Physics 2019-09-12 Zhen Wang , Qi Wei , Heng-Yi Xu , Da-Jian Wu

Two new recently proposed classes of topological phases, namely fractons and higher order topological insulators (HOTIs), share at least superficial similarities. The wide variety of proposals for these phases calls for a universal field…

Strongly Correlated Electrons · Physics 2021-06-23 Yizhi You , F. J. Burnell , Taylor L. Hughes

We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 Motohiko Ezawa

We study the magnetic properties of topological insulators doped with isoelectronic magnetic impurities. We obtain that at zero temperature the impurities order ferromagnetically, but when raising the temperature the topological insulator…

Materials Science · Physics 2015-06-04 Martha Lasia , Luis Brey

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

The discovery of higher-order topological insulator (HOTI) has established a new paradigm for understanding symmetry-constrained boundary electronic states. Here, based on first-principles calculations, we demonstrate the emergence of HOTI…

A prerequisite to using the net spin polarization generated by a source-drain bias in three-dimensional topological insulators for spintronic applications, is understanding how such a bias alters the transport properties of these materials.…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 Sofie Kölling , Daan H. Wielens , İnanç Adagideli , Alexander Brinkman