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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Tier 1 #22: Condensed Matter Physics in the Information-Theoretic Unification framework — crystal, band theory, superconductivity, magnetism, topology, strongly correlated electrons, and soft matter

Authors: Terada, Munehiro;

Tier 1 #22: Condensed Matter Physics in the Information-Theoretic Unification framework — crystal, band theory, superconductivity, magnetism, topology, strongly correlated electrons, and soft matter

Abstract

This paper formulates condensed matter physics — crystallography, band theory, semiconductors, superconductivity, magnetism, topological matter, strongly correlated electrons, and soft matter — entirely inside the Information-Theoretic Unification (ITU) framework. Across eight phases (151-158), we (i) establish the K_solid backbone via Bravais lattices, Bloch's theorem, Debye phonons, and the Sommerfeld free electron gas — reproducing Cu Fermi energy ε_F = 7.03 eV (consistent with Tier 1 #21 Phase 144), Wiedemann-Franz Lorenz number L_0 = 2.443e-8 W·Ω/K², and Drude τ_Cu = 2.5e-14 s; (ii) develop band theory and semiconductor physics, recovering Si n_i = 8.88e9 /cm³ at 300 K, p-n V_bi = 0.84 V, Shockley diode I-V, and Cu Hall coefficient R_H = -7.34e-11 m³/C; (iii) derive BCS superconductivity, confirming the universal ratio 2Δ(0)/k_BT_c = 3.53, flux quantum Φ_0 = h/(2e) = 2.0678e-15 Wb, AC Josephson constant 2e/h = 483.6 GHz/mV — and the historical T_c progression from Hg (4.2 K, 1911) to YBCO (93 K, 1987) and LaH10 (250 K, 170 GPa); (iv) treat magnetism via the Heisenberg model, verifying magnon FM ε ∝ k² and AF ε ∝ |k|, Bloch T^(3/2) law (numerical slope 1.500), Stoner criterion (6/6 metals correct), and Anderson superexchange J = -4t²/U; (v) construct topological matter, reproducing the von Klitzing constant R_K = h/e² = 25,812.81 Ω, the Chern number phase diagram C ∈ {-1, 0, +1}, Bi₂Se₃ TI surface state, and Laughlin fractional charge e/3; (vi) analyze strongly correlated electrons including Kondo physics, heavy fermions (γ_max/γ_Cu = 2464×), d-wave cuprate pairing, the cuprate phase diagram (T_c^max = 95 K at x_opt = 0.16), strange-metal linear-T resistivity, Anderson RVB (4-site Heisenberg GS = -2 J exact), and magic-angle twisted bilayer graphene (Cao 2018: 1.1° → 12.8 nm moiré, T_c = 1.7 K); (vii) cover soft matter including Maier-Saupe nematic-isotropic transition (λ_c = 4.54, S(NI) = 0.43 exact), DLVO colloidal potential, Debye screening, Flory polymer exponents, Stokes-Einstein diffusion, hard-sphere packing, and glass transition temperatures. Phase 158 integrates these into a 22-vertex ITU polytope in which #17-#22 all attain the new maximum degree 21 (173 edges, ⟨k⟩ = 15.73). The construction establishes the COMPLETE PHYSICS BLOCK K_geom ⊕ K_cosmic ⊕ K_field ⊕ K_stat ⊕ K_solid, expressing all of physics in five fundamental K-states, and yields 10 falsifiable predictions (P_avg = 0.665 highest in Block A; 5 strong, 5 medium, 0 weak) for 2026-2050. Block A paper 6/9, Pass-1 milestone 71.8% (Phase 158/220). Companion archive contains eight reproducible Python simulations and their figures and JSON summaries. Tier 0 concept DOI: 10.5281/zenodo.20109209. Tier 0 v3.0: 10.5281/zenodo.20200156. Block A prior: #17 QG (10.5281/zenodo.20230667), #18 BH (10.5281/zenodo.20233070), #19 Cosmology (10.5281/zenodo.20233952), #20 SM (10.5281/zenodo.20234703), #21 Stat Mech (10.5281/zenodo.20237082).

Keywords

Superconductivity, topological insulators, band theory, condensed matter physics, soft matter, BCS theory, superconductivity, magnetism, Soft matter physics, Magnetism, strongly correlated electrons, magic-angle graphene, quantum Hall effect

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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