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We investigate the Mott transition in weakly-coupled one-dimensional (1d) fermionic chains. Using a generalization of Dynamic Mean Field Theory, we show that the Mott gap is suppressed at some critical hopping $t_{\perp}^{c2}$. The…

Strongly Correlated Electrons · Physics 2007-05-23 C. Berthod , T. Giamarchi , S. Biermann , A. Georges

Three-dimensional topological insulators (TIs) are a perfectly tuned quantum-mechanical machinery in which counter-propagating and oppositely spin-polarized conduction channels balance each other on the surface of the material. This…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 A. I. Figueroa , T. Hesjedal , N. -J. Steinke

Three dimensional topological insulator represents a class of novel quantum phases hosting robust gapless boundary excitations, which is protected by global symmetries such as time reversal, charge conservation and spin rotational symmetry.…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Yuan-Ming Lu , Dung-Hai Lee

Due to time-reversal symmetry (TRS), two dimensional topological insulators support counter-propagating helical edge modes. Here we show that, unlike the infinitely sharp edge potential utilized in traditional calculations, an…

Strongly Correlated Electrons · Physics 2017-02-01 Jianhui Wang , Yigal Meir , Yuval Gefen

Topological superconductors are a class of unconventional superconducting materials featuring sub-gap zero-energy Majorana bound modes that hold promise as a building block for topological quantum computing. In this work, we study the…

Superconductivity · Physics 2023-10-30 Zi-Ming Wang , Meng Zeng , Chen Lu , Da-Shuai Ma , Rui-Xing Zhang , Lun-Hui Hu , Dong-Hui Xu

The quasi-linear bands in the topologically trivial skutterudite insulator CoSb$_3$ are studied under adiabatic, symmetry-conserving displacement of the Sb sublattice. In this cubic, time-reversal and inversion symmetric system, a…

Strongly Correlated Electrons · Physics 2015-05-19 J. C. Smith , S. Banerjee , V. Pardo , W. E. Pickett

Occurrence of topological Anderson insulator (TAI) in HgTe quantum well suggests that when time-reversal symmetry (TRS) is maintained, the pertinent topological phase transition, marked by re-entrant $2e^2/h$ quantized conductance…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Ying Su , Y. Avishai , X. R. Wang

We get an anomalous Hall metallic state in the Honeycomb lattice with nearest neighbors only arising as a spontaneously broken symmetry state from a local nearest neighbor Coulomb interaction V . The key ingredient is to enlarge the unit…

We present generic conditions for phase band crossings for a class of periodically driven integrable systems represented by free fermionic models subjected to arbitrary periodic drive protocols characterized by a frequency $\omega_D$. These…

Strongly Correlated Electrons · Physics 2016-12-30 Bhaskar Mukherjee , Arnab Sen , Diptiman Sen , K. Sengupta

Time-reversal symmetry breaking (TRSB) in magnetic topological insulators induces a Dirac gap in the topological surface state (TSS), leading to exotic phenomena such as the quantum anomalous Hall effect. Yet, the interplay between TRSB and…

The electric field induced quantum phase transition from topological to conventional insulator has been proposed as the basis of a topological field effect transistor [1-4]. In this scheme an electric field can switch 'on' the ballistic…

Topological insulators (TI) are a new class of quantum materials with insulating bulk enclosed by topologically protected metallic boundaries. The surface states of three-dimensional TIs have spin helical Dirac structure, and are robust…

We present a prediction of the Dirac semimetal (DSM) phase in MgTa2N3 based on first-principles calculations and symmetry analysis. In this material, the Fermi level is located exactly at the Dirac point without additional Fermi surface…

Materials Science · Physics 2018-08-29 QuanSheng Wu , Christophe Piveteau , Zhida Song , Oleg V. Yazyev

We introduce two dimensional fermionic band models with two orbitals per lattice site, or one spinful orbital, and which have a non-zero topological Chern number that can be changed by varying the ratio of hopping parameters. A…

Strongly Correlated Electrons · Physics 2013-02-14 Miguel A. N. Araújo , Eduardo V. Castro , Pedro D. Sacramento

We introduce the Uhlmann geometric phase as a tool to characterize symmetry-protected topological phases in 1D fermion systems, such as topological insulators and superconductors. Since this phase is formulated for general mixed quantum…

Quantum Physics · Physics 2014-04-04 O. Viyuela , A. Rivas , M. A. Martin-Delgado

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary correspondence. However, the existence of higher-order Fermi…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Bin Zhou , Dong-Hui Xu

We consider a time reversal symmetry (TRS) broken Kane-Mele model superimposed with Haldane model and chart out the phase diagram using spin Chern number to investigate the fate of quantum anomalous Hall insulator (QAHI) and quantum spin…

Mesoscale and Nanoscale Physics · Physics 2021-06-29 Sudarshan Saha , Tanay Nag , Saptarshi Mandal

We predict a quantum phase transition from normal to topological insulators in the 5$d$ transition metal oxide Na$_2$IrO$_3$, where the transition can be driven by the change of the long-range hopping and trigonal crystal field terms. From…

Materials Science · Physics 2012-03-07 Choong H. Kim , Heung Sik Kim , Hogyun Jeong , Hosub Jin , Jaejun Yu

Recent attempts at topological materials have revealed a large class of materials that show gapless surface states protected by time-reversal symmetry and crystal symmetries. Among them, topological insulating states protected by crystal…

Materials Science · Physics 2023-03-20 J. Howard , A. Rodriguez , N. Haldolaarachchige , K. Hettiarachchilage

The three-dimensional (3D) topological insulator is a novel quantum state of matter where an insulating bulk hosts a linearly-dispersing surface state, which can be viewed as a sea of massless Dirac fermions protected by the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 T. Sato , Kouji Segawa , K. Kosaka , S. Souma , K. Nakayama , K. Eto , T. Minami , Yoichi Ando , T. Takahashi