Holographic topological semimetals

Abstract

The holographic duality allows to construct and study models of strongly coupled quantum matter via dual gravitational theories. In general such models are characterized by the absence of quasiparticles, hydrodynamic behavior and Planckian dissipation times. One particular interesting class of quantum materials are ungapped topological semimetals which have many interesting properties from Hall transport to topologically protected edge states. We review the application of the holographic duality to this type of quantum matter including the construction of holographic Weyl semimetals, nodal line semimetals, quantum phase transition to trivial states (ungapped and gapped), the holographic dual of Fermi arcs and how new unexpected transport properties, such as Hall viscosities arise. The holographic models promise to lead to new insights into the properties of this type of quantum matter.

Magnetotransport and complexity of holographic metal-insulator transitions

“…So it should be careful if one wants to consider pseudo-spontaneous regime where m 2 1 and β m 2 for a non-trivial Y (X). 8 In contrast, for the case without magnetic field, the inequality (3.12) is satisfied automatically since k 0. Thus one is not able to obtain any constraint from (3.12) when B = 0.…”

“…The key message is that by taking into account magnetic field, we are able to give a generic constraint on k, without referring to the non-linear details of the coupling functions Y and V . 8 To obtain the constraint (3.13), we have only considered a very generic expansion (3.6) and demanded σ xx 0 in the weak disorder limit. As one can see from (3.1) and (3.2) that the behaviors of the magnetotransport depend on the details of couplings in a theory.…”

“…It has seen an increasing interest in applying the techniques of holography to probe the rich structure of strongly coupled quantum phases of matter, see e.g. [6][7][8][9] for reviews in the context of condensed matter applications. Of particular interest are the transport properties as a function of temperature and other parameters, such as charge density and magnetic field.…”

An improved holographic nodal line semimetal

“…Holography has been applied to the study of the topological nature in Weyl semimetals [7] and nodal line semimetals [8,9] which uncovered lots of novel properties of topological semimetals at strong coupling [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. See [26] for a recent review on this topic.…”

Chiral vortical conductivity across a topological phase transition from holography

“…Other aspects of the holographic Weyl semimetal have been explored in [26][27][28][29][30][31][32][33]. A recent review on the holographic Weyl semimetals can be found in [34].…”