GAP

GAP (specifically GAP2 - GW with Augmented Plane-waves) is the all-electron GW implementation within the WIEN2k ecosystem. It utilizes the full-potential linearized augmented plane-wave (FP-LAPW) basis set to perform high-precision G0W0…

2. TDDFT & EXCITED-STATE 2.3 GW Methods VERIFIED 1 paper
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Overview

GAP (specifically GAP2 - GW with Augmented Plane-waves) is the all-electron GW implementation within the WIEN2k ecosystem. It utilizes the full-potential linearized augmented plane-wave (FP-LAPW) basis set to perform high-precision G0W0 calculations, treating core, semi-core, and valence electrons on equal footing. It is considered a "gold standard" for GW accuracy in solids.

Reference Papers (1)

Full Documentation

Official Resources

  • Homepage: http://www.wien2k.at/ (Distributed with/for WIEN2k)
  • Documentation: WIEN2k User Guide / GAP2 literature
  • Source Repository: Part of WIEN2k distribution (Licensed)
  • License: Proprietary / Academic License (WIEN2k)

Overview

GAP (specifically GAP2 - GW with Augmented Plane-waves) is the all-electron GW implementation within the WIEN2k ecosystem. It utilizes the full-potential linearized augmented plane-wave (FP-LAPW) basis set to perform high-precision G0W0 calculations, treating core, semi-core, and valence electrons on equal footing. It is considered a "gold standard" for GW accuracy in solids.

Scientific domain: All-electron GW, precision solid-state physics, core-level excitations
Target user community: WIEN2k users, researchers requiring benchmark accuracy

Theoretical Methods

  • GW approximation (G0W0, GAP2 implementation)
  • All-electron FP-LAPW formalism
  • Mixed basis set (APW + lo for G, PW for W)
  • Full frequency integration
  • Core-valence interactions treated explicitly
  • Relativistic effects (scalar + SOC)

Capabilities (CRITICAL)

  • All-electron G0W0 calculations
  • High-precision band gaps (<10% error vs experiment)
  • d- and f-electron systems (strongly correlated)
  • Transition metal oxides and lanthanides

Sources: Academic literature, WIEN2k interface references

Key Strengths

All-Electron Accuracy:

  • No pseudopotentials
  • treatment of core-valence interaction
  • Accurate for heavy elements
  • High precision reference

APW Basis:

  • Efficient for open structures
  • Accurate near nucleus
  • Proven solid-state basis
  • Rigorous mathematical foundation

WIEN2k Interface:

  • Leverages WIEN2k DFT
  • Proven ground state
  • Established ecosystem
  • Specialized community

Inputs & Outputs

  • Input formats:

    • WIEN2k struct/vector files
    • GAP specific control files
  • Output data types:

    • Quasiparticle band structure
    • Self-energy corrections
    • Core level shifts

Interfaces & Ecosystem

  • Primary Interface: WIEN2k
  • Usage: Typically post-processing step
  • Ecosystem: FLAPW community tools

Performance Characteristics

  • Speed: Expensive (all-electron)
  • Accuracy: Very high (gold standard)
  • System size: Small to medium solids
  • Scaling: Steep scaling with size

Computational Cost

  • High: Due to all-electron basis
  • Memory: Demanding mixed basis
  • Precision: Costs justify accuracy

Limitations & Known Constraints

  • Availability: Not widely public like VASP/QE
  • Complexity: Steep learning curve
  • Maintenance: Academic code status
  • Efficiency: Slower than pseudopotential codes

Comparison with Other Codes

  • vs BerkeleyGW: GAP is all-electron, BerkeleyGW is pseudopotential
  • vs SPEX: Similar domain (all-electron GW), widely used competitor
  • vs exciting: Alternative all-electron implementation
  • Unique strength: Historic APW implementation, WIEN2k synergy

Application Areas

Strongly Correlated Materials:

  • Transition metal oxides
  • f-electron systems
  • Magnetic materials

Precision Benchmarking:

  • Reference values
  • Pseudopotential validation
  • Core-level spectroscopy

Community and Support

  • Academic user base
  • WIEN2k mailing list
  • Specialized workshops
  • Literature-based support

Verification & Sources

Primary sources:

  1. References in WIEN2k community
  2. "GAP" all-electron GW literature (TU Wien group)
  3. Comparison papers with SPEX/exciting

Confidence: VERIFIED (Historic/Academic)

  • Existence: CONFIRMED in literature
  • Status: Niche/Academic research code

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