We calculate conductance and noise for quantum transport at the nodal point arbitrarily tilted anisotropic Dirac or Weyl cones. Tilted dispersions are generic in absence of certain discrete symmetries, such as particle-hole lattice group symmetries. Whereas anisotropy affects $g$, but leaves Fano factor $F$ (the ratio shot power current) unchanged, a tilt both $g$ $F$. Since is universal number many other situations, this finding remarkable. apply our general considerations to specific...

A large number of recent works point to the emergence intriguing analogs fractional quantum Hall states in lattice models due effective interactions nearly flat bands with Chern $C=1$. Here, we provide an intuitive and efficient construction almost dispersionless higher numbers. Inspired by physics multilayers pyrochlore-based transition-metal oxides, study a tight-binding model describing spin-orbit coupled electrons $N$ parallel kagome layers connected apical sites forming...

We show that, quite generically, a [111] slab of spin-orbit coupled pyrochlore lattice exhibits surface states whose constant energy curves take the shape Fermi arcs, localized to different surfaces depending on their quasimomentum. Remarkably, these persist independently existence Weyl points in bulk. Considering interacting electrons slabs finite thickness, we find plethora known fractional Chern insulating phases, which add discovery new higher number state is likely generalization...

Although Lorentz invariance forbids the presence of a term that tilts energy-momentum relation in Weyl Hamiltonian, tilted dispersion is not forbidden and, fact, generic for condensed matter realizations semimetals. We here investigate combined effect such and potential disorder. In particular, we address influence tilt on disorder-induced phase transition between quasiballistic at weak disorder, which disorder an irrelevant perturbation, diffusive strong Our main result leads to reduction...

The hallmark of topological phases is their robust boundary signature whose intriguing properties---such as the one-way transport on chiral edge a Chern insulator and sudden disappearance surface states forming open Fermi arcs surfaces Weyl semimetals---are impossible to realize alone. Yet, despite glaring simplicity noninteracting bulk Hamiltonians concomitant energy spectrum, detailed study corresponding has essentially been restricted numerical simulation. In this work, however, we show...

Double Weyl nodes are topologically protected band crossing points which carry chiral charge $\ifmmode\pm\else\textpm\fi{}2$. They stabilized by ${C}_{4}$ point-group symmetry and predicted to occur in ${\mathrm{SrSi}}_{2}$ or ${\mathrm{HgCr}}_{2}{\mathrm{Se}}_{4}$. We study their stability physical properties the presence of a disorder potential. investigate density states quantum transport at nodal point. find that, contrast counterparts with unit charge, double unstable any finite amount...

Shortly after the discovery of Weyl semimetals, properties related to topology their bulk band structure have been observed, e.g., signatures chiral anomaly and Fermi arc surface states. These essentially single particle phenomena are well understood, but whether interesting many-body effects due interactions arise in systems remains much less explored. Here, we investigate effect a microscopic model type-II semimetal strong magnetic field. We identify charge density wave (CDW) instability...

Recent experiments on type-II Weyl semimetals such as ${\mathrm{WTe}}_{2}, {\mathrm{MoTe}}_{2}, {\mathrm{Mo}}_{x}{\mathrm{W}}_{1\ensuremath{-}x}{\mathrm{Te}}_{2}$, and ${\mathrm{WP}}_{2}$ reveal remarkable transport properties in the presence of a strong magnetic field, including an extremely large magnetoresistance unusual temperature dependence. Here, we investigate magnetotransport via Kubo formula minimal model semimetal taking into account effect charge density wave (CDW) transition,...

We develop a theory for the analytic computation of free energy band insulators in presence uniform and constant electric field. The two key ingredients are perturbation-like expression Wannier-Stark spectrum electrons modified statistical mechanics approach involving local chemical potential order to deal with unbounded impose physically relevant electronic filling. At first field, we recover result King-Smith, Vanderbilt Resta polarization terms Zak phase - albeit at finite temperature...