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Universal Hall Response in Interacting Quantum Systems.

Sebastian Greschner1, Michele Filippone1, Thierry Giamarchi1

  • 1Department of Quantum Matter Physics, University of Geneva, 1211 Geneva, Switzerland.

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|April 2, 2019
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Summary
This summary is machine-generated.

We studied the Hall effect in M-leg ladder systems, finding a universal Hall response in many quantum phases. Interaction-driven effects like sign reversal were also observed in these systems.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Simulation
  • Many-Body Physics

Background:

  • The Hall effect is crucial for understanding electronic properties in materials.
  • Synthetic dimensions offer novel platforms for exploring quantum phenomena.

Purpose of the Study:

  • To theoretically investigate the Hall effect in interacting M-leg ladder systems.
  • To compare different measures of zero-temperature Hall response under weak magnetic fields.

Main Methods:

  • Theoretical study of SU(M) symmetric interacting bosons and fermions.
  • Analysis of Hall imbalance (Δ_H) and Hall resistivity (R_H) in the weak field limit.

Main Results:

  • Identified a universal Hall imbalance (Δ_H) corresponding to classical Hall resistivity (R_H = -1/n) in an extensive regime.
  • Observed interaction-driven phenomena, including sign reversal and divergence of the Hall response, away from high symmetry points.

Conclusions:

  • The study reveals universal Hall response characteristics in certain quantum phases of M-leg ladders.
  • Interaction effects play a significant role in modifying the Hall response, leading to complex behaviors.