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We study the phase structure and Hall conductance quantization in weakly coupled multi-layer electron systems in the integer quantum Hall regime. We derive an effective field theory and perform a two-loop renormalization group calculation.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ziqiang Wang

Weyl and Dirac semimetals are three dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry. As three dimensional analogs of graphene, they have generated much recent interest. Deep…

Strongly Correlated Electrons · Physics 2018-01-31 N. P. Armitage , E. J. Mele , Ashvin Vishwanath

We study the quantum phases driven by interaction in a semimetal with a quadratic band touching at the Fermi level. By combining the density matrix renormalization group (DMRG), analytical power expanded Gibbs potential method, and the weak…

Strongly Correlated Electrons · Physics 2018-10-03 Shouvik Sur , Shou-Shu Gong , Kun Yang , Oskar Vafek

There have been lots of interest in pyrochlore Iridates A2Ir2O7 where both strong spin-orbital coupling and strong correlation are present. A recent LDA calculation suggests that the system is likely in a novel three dimensional topological…

Strongly Correlated Electrons · Physics 2011-09-20 Kai-Yu Yang , Yuan-Ming Lu , Ying Ran

Typical Weyl semimetals host chiral surface states and hence show an anomalous Hall response. Although a Weyl semimetal phase is known to be robust against weak disorder, the influence of disorder on chiral states is not fully clarified so…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Yositake Takane

The holographic approach to building the p-wave superconductors results in three different models: the Maxwell-vector, the SU(2) Yang-Mills and the helical. In the probe limit approximation, we analytically examine the properties of the…

High Energy Physics - Theory · Physics 2016-04-22 Marek Rogatko , Karol I. Wysokinski

Formulating consistent theories describing strongly correlated metallic topological phases is an outstanding problem in condensed matter physics. In this work we derive a theory defining a fractionalized analogue of the Weyl semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Tobias Meng , Adolfo G. Grushin , Kirill Shtengel , Jens H. Bardarson

Weyl semimetals (WSM) have been extensively studied due to their exotic properties such as topological surface states and anomalous transport phenomena. Their band structure topology is usually predetermined by material parameters and can…

Topologically protected edge state transport in quantum materials is dissipationless and features quantized Hall conductance, and shows great potential in highly fault-tolerant computing technologies. However, it remains elusive about how…

The fractional quantum Hall effect is a well-known demonstration of strongly correlated topological phases in two dimensions. However, the extension of this phenomenon into a three-dimensional context has yet to be achieved. Recently, the…

Strongly Correlated Electrons · Physics 2025-01-07 Jiong-Hao Wang , Yan-Bin Yang , Yong Xu

We investigate D-insatnton effects on the holographic Weyl semimetal in top-down approach. From the free energy of the D7 brane embedding solutions, we get phase diagram in terms of the electron mass, instanton number, and temperature in…

High Energy Physics - Theory · Physics 2026-04-07 Hwajin Eom , Yunseok Seo

Topological insulators in the presence of strong Coulomb interaction constitute novel phases of matter. Transitions between these phases can be driven by single-particle or many-body effects. On the basis of {\it ab-initio} calculations, we…

Strongly Correlated Electrons · Physics 2016-01-06 Gang Li , Werner Hanke , Giorgio Sangiovanni , Björn Trauzettel

Pairing in the Weyl semi - metal appearing on the surface of topological insulator is considered. It is shown that due to an "ultra-relativistic" dispersion relation there is a quantum critical point governing the zero temperature…

Superconductivity · Physics 2015-06-19 Dingping Li , B. Rosenstein , I. Shapiro , B. Ya. Shapiro

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

We studied holographic insulator/superconductor phase transition in the framework of Born-Infeld electrodynamics both numerically and analytically. First we numerically study the effects of the Born-Infeld electrodynamics on the phase…

High Energy Physics - Theory · Physics 2012-12-24 Nan Bai , Yi-Hong Gao , Guan-Bu Qi , Xiao-Bao Xu

The interplay between topology and electronic correlation effects offers a rich avenue for discovering emergent quantum phenomena in condensed matter systems. In this work, starting from the Weyl-Hubbard model, we investigate the quantum…

Strongly Correlated Electrons · Physics 2024-02-16 Snehasish Nandy , Christopher Lane , Jian-Xin Zhu

Holographic strange metals are known to have a power law resistivity rising with temperature, which is reminiscent of the strange metal phases in condensed matter systems. In some holographic models, however, the exponent of the power law…

High Energy Physics - Theory · Physics 2019-06-26 Tomas Andrade , Alexander Krikun

Negative longitudinal magnetoresistance, in the presence of an external magnetic field parallel to the direction of an applied current, has recently been experimentally verified in Weyl semimetals and topological insulators in the bulk…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 S. Nandy , A. Taraphder , Sumanta Tewari

The subtle interplay of band topology and symmetry broken phase, induced by electron correlations, has immense contemporary relevance and potentially offers novel physical insights. Here, we demonstrate charge density wave (CDW) in bulk…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Abhishek Juyal , Vinod Kumar Dwivedi , Sonu Verma , Shibabrata Nandi , Amit Agarwal , Soumik Mukhopadhyay

Topological insulators, along with Chern insulators and Quantum Hall insulator phases, are considered as paradigms for symmetry protected topological phases of matter. This article reports the experimental realization of the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Priya Tiwari , Saurabh Kumar Srivastav , Sujay Ray , Tanmoy Das , Aveek Bid