Path-integral simulation of solids

Area of Science:

• Computational Physics
• Materials Science
• Quantum Mechanics

Background:

• Path-integral formulation is key for statistical mechanics of quantum many-body systems.
• Simulating solids requires practical computational techniques.

Purpose of the Study:

• Introduce practical simulation techniques for solids using path-integral formulation.
• Apply computational methods to study structural, vibrational, and thermodynamic properties of various solids.
• Investigate nuclear quantum effects in solids, especially those containing light atoms like hydrogen.

Main Methods:

• Monte Carlo simulations
• Molecular dynamics simulations
• Focus on the isothermal-isobaric ensemble for distinguishable quantum particles.

Main Results:

• Structural, vibrational, and thermodynamic properties of noble-gas, group-IV, and molecular solids were discussed.
• Applications included point defects, solid-to-solid and orientational phase transitions, and quantum process rates.
• Finite-temperature anharmonic effects like thermal expansion and electron-phonon interactions were analyzed.

Conclusions:

• Computational techniques based on path-integral formulation are effective for simulating solids.
• Nuclear quantum effects are significant in solids with light atoms, particularly hydrogen.
• The methods provide insights into diverse solid-state phenomena and material properties.