Novel semi-circle law and Hall sliding in a strongly interacting electron liquid

Abstract

We study a strongly interacting, fermionic fluid in the presence of an applied magnetic field using a holographic framework. At low temperatures, translation symmetry is spontaneously broken and the resulting phase is a striped Hall fluid. Due to the magnetic field, an electric field applied parallel to the stripes causes the stripes to slide, a phenomenon we coin “Hall sliding.” We also investigate the magneto-transport of the system in the presence of an explicit translation symmetry-breaking lattice which pins the stripes. Electrical properties are well represented by a hydrodynamical model, which gives us further insight into particle-like cyclotron and pseudo-Goldstone excitations we observe. The DC conductivities obey a novel semi-circle law, which we derive analytically in the translationally invariant ground state at low temperature.

On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field

“…These kinds of excitations are the only long lived modes expected to survive at strong coupling, where the notion of "quasi-particle" ceases to exist. Consequently, hydrodynamic effective field theories have been applied, among other materials, to the study of graphene [3,4], quantum hall systems [5][6][7][8][9][10][11][12], bad metals [13][14][15][16][17][18][19][20], Wigner solids [21] and high temperature superconductors [22][23][24][25][26][27][28][29][30][31]. Regarding the latter materials, the community interested in the hydrodynamic approach has broadly attempted to reproduce the transport properties of the so called strange metal phase.…”

“…Similarly, by combining certain SL(2, Z) operations in the presence of background charge and magnetic field one can generate anyons [53,54]. These unusual particles have fractional statistics and display some interesting fluid behaviour [12,[55][56][57][58][59][60][61][62][63][64][65][66][67].…”