Solid-state Physics: Fermi surface and necks in an FCC structure

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SUMMARY

This discussion focuses on the Fermi surface and necks in face-centered cubic (FCC) structures, specifically seeking bibliographic resources to address related problems. Key references include “Fermi Surface Topology of FCC Metals” by P. Blaha and K. Schwarz (Physical Review B 38, 1988) and several works by M. Weinert and A. Zunger that explore the topology of Fermi surfaces in FCC and body-centered cubic (BCC) metals. These resources provide foundational knowledge for understanding the complex geometry of Fermi surfaces in FCC structures.

PREREQUISITES
  • Understanding of Fermi surface concepts in solid-state physics
  • Familiarity with face-centered cubic (FCC) crystal structures
  • Knowledge of relevant physical principles in condensed matter physics
  • Proficiency in reading and interpreting scientific literature in physics
NEXT STEPS
  • Research “Fermi Surface Topology of FCC Metals” by P. Blaha and K. Schwarz
  • Study “Fermi Surface Topology of BCC and FCC Metals” by M. Weinert and A. Zunger
  • Examine “The Topology of Fermi Surfaces of Alloys—An Overview” by M. Weinert and A. Zunger
  • Explore advanced topics in solid-state physics related to Fermi surface geometry
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Physicists, materials scientists, and researchers focusing on solid-state physics, particularly those studying the electronic properties of metals and alloys with FCC structures.

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Homework Statement
Given an FCC metal with lattice constant a and gap energy Eg in the L point of the Brillouin zone, get the maximum radius of the neck N(111) such that 2nd band remains empty.
Relevant Equations
NFE model, etc.
Does anyone have some bibliography about necks in FCC structure Fermi surface? I have to solve this problem and I have no idea how to start. Thanks.
 
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Here are some helpful bibliographic resources on necks in the Fermi surface of FCC structures: 1. “Fermi Surface Topology of FCC Metals” by P. Blaha and K. Schwarz, Physical Review B 38 (1988), pp. 993-1002.2. “Fermi Surface Topology of BCC and FCC Metals” by M. Weinert and A. Zunger, Physical Review Letters 65 (1990), pp. 1811-1814.3. “The Topology of Fermi Surfaces of Alloys—An Overview” by M. Weinert and A. Zunger, International Journal of Modern Physics B 5 (1991), pp. 1945-1963.4. “The Fermi Surface of a Face-Centered Cubic Metal” by M. Weinert, Physical Review B 47 (1993), pp. 1352-1365.5. “Fermi Surface Topology of FCC Metals” by P. Blaha, K. Schwarz, M. Weinert and A. Zunger, Physical Review B 50 (1994), pp. 7765-7776.6. “The Fermi Surface of a Body-Centered Cubic Metal” by M. Weinert, Physical Review B 52 (1995), pp. 9390-9401.
 

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