Metal-insulator transition by holographic charge density waves

Area of Science:

• Condensed Matter Physics
• High Energy Physics
• String Theory

Background:

• Charge density waves (CDWs) are fundamental condensed matter phenomena involving spontaneous symmetry breaking.
• Understanding CDWs is crucial for explaining metal-to-insulator transitions.

Purpose of the Study:

• To construct a gravity dual for charge density waves (CDWs).
• To investigate the properties of CDWs using holographic methods.
• To explore the mechanism of metal-to-insulator phase transitions driven by CDWs.

Main Methods:

• Constructing a gravity dual model.
• Performing linear perturbation calculations on the gravity side.
• Analyzing the frequency dependence of optical conductivity.

Main Results:

• The gravity dual successfully models CDWs with broken translational symmetry.
• Linear perturbation calculations yield the characteristic pinned collective mode and gapped single-particle excitation.
• The model demonstrates a metal-to-insulator phase transition mechanism consistent with experimental observations.

Conclusions:

• The developed gravity dual provides a new framework for studying CDWs.
• The model successfully explains key features of CDWs, including their role in phase transitions.
• Holographic methods offer valuable insights into complex condensed matter systems.