5. "The Colored Hofstadter Butterfly as a Many-Body Quantum Hall Phase Diagram", Giovanna Marcelli, Tadahiro Miyao, Domenico Monaco, Stefan Teufel, Marius Wesle, arXiv:2606.26256
4. "Hubbard--Heisenberg Thermodynamic Comparison at Half Filling in a Fixed Staggered Field", T. Miyao, arXiv:2605.30663
3. "Ordering of Energy Levels in the Fr¨ ohlich Model", F. Hiroshima, A. Kobayashia, T. Miyao, S. Tomioka, arXiv:2505.07152
2. "A finite temperature version of the Nagaoka--Thouless theorem in the SU(n) Hubbard model", T. Miyao, arXiv:2112.14475
1. "An algebraic approach to revealing magnetic structures of ground states in many-electron systems", T. Miyao, arXiv:2108.05104
37. " Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems ", M. Wesle, G. Marcelli, T. Miyao, D. Monaco, S. Teufel, Communications in Mathematical Physics, 406 (2025), no. 8, Paper No. 199, 57 pp. arXiv:2411.06967
36. "Ground state of one-dimensional fermion-phonon systems", T. Miyao, S. Okida, H. Tominaga, Infinite Dimensional Analysis, Quantum Probability and Related Topics, arXiv:2104.03530
35. "Stability of charge density waves in electron-phonon systems ", T. Miyao, Journal of Statistical Physics, 191, 36 (2024), Correction arXiv:2303.05667 (Corrected version)
34. "Ground state properties of the periodic Anderson model with electron-phonon interactions", T. Miyao and H. Tominaga, Annals of Physics, Volume 455, August 2023, 1693, 38 pages, arXiv:2208.03595s.
33. "Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model" T. Miyao, K. Nishimata, H. Tominaga, Quantum Stud.: Math. Found. (2022) , arXiv:2204.08675, full-text access
32. "Electron-phonon interaction in Kondo lattice systems", T. Miyao, H. Tominaga, Annales of Physics, Volume 429, June 2021, 168467, 39 pages, arXiv:2007.14309
31."On the renormalized Hamiltonian nets", T. Miyao, Annales Henri Poincar´e, 22, 2935–2973 (2021)
30."Thermal stability of the Nagaoka-Thouless theorems", T. Miyao, Annales Henri Poincar´e, 21, 4027-4072, (2020)
29. “Note on the Retarded van der Waals Potential within the Dipole Approximation”, T. Miyao, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 16 (2020), 036, 34 pages.
28. “ Correlation inequalities in Schro¨dinger operators”, T. Miyao, Mathematical Physics, Analysis and Geometry , (2020) 23: 3.
27."Stability of ferromagnetism in many electron systems ", T. Miyao, Journal of Statistical Physics, 176, 1211-1271, (2019)
26."On the semigroup generated by the renormalized Nelson Hamiltonian", T. Miyao, Journal of Functional Analysis, 276, 1948-1977, (2019)
25.“ Ground state properties of the Holstein-Hubbard model ”, T. Miyao, Annales Henri Poincar´e, 19, 2543-2555, (2018)
24. “Nagaoka’s theorem in the Holstein-Hubbard model ”, T. Miyao, Annales Henri Poincar´e, 18, 2849-2871, (2017).
23. “Long range charge order in the extended Holstein–Hubbard model ”, T. Miyao, Journal of Statistical Physics, 165, 225-245, (2016).
22. “Quantum Griffiths’ inequalities”, T. Miyao, Journal of Statistical Physics, 164, 255-303, (2016).
21. “Rigorous results concerning the Holstein-Hubbard model”, T. Miyao, Annales Henri Poincar´e, 18, 193-232, (2017).
20. “ Upper bounds on the charge susceptibility of many-electron systems coupled to the quantized radiation field”, T. Miyao, Letters in Mathematical Physics, 105, 1119-1133, (2015).
19. “Monotonicity of the polaron energy”, T. Miyao, Reports on Mathematical Physics, 74, 379- 398, (2014).
18. “Monotonicity of the polaron energy II: General theory of operator monotonicity”, T. Miyao, Journal of Statistical Physics, 153, 70-92, (2013).
17. “Ground state properties of the SSH model”, T. Miyao, Journal of Statistical Physics, 149, 519-550, (2012)
16. “Scale dependence of the retarded van der Waals potential”, T. Miyao, H. Spohn, Journal of Mathematical Physics, 53, 095215 (2012) (15 pages) .
15. “Note on the one-dimensional Holstein-Hubbard model”, T. Miyao, Journal of Statistical Physics, 147, 436-447, (2012).
14. “SELF-DUAL CONE ANALYSIS IN CONDENSED MATTER PHYSICS”, T. Miyao, Reviews in Mathematical Physics, 23 749-822, (2011).
13. “Time reversal symmetries and properties of ground states in nonrelativistic QED ”, M. Loss, T. Miyao, H. Spohn, RIMS Kokyuroku Bessatsu, B21, 35-44, (2010).
12. “Retarded van der Waals potential: Revisited”, T. Miyao, H. Spohn, Journal of Mathematical Physics, 50, 072103(2009) (19pages).
11. “Kramers degeneracy theorem in the nonrelativistic QED ”, M. Loss, T. Miyao, H. Spohn, Letters in Mathematical Physics, 89, 21-31,(2009).
10. “Spectral analysis of the semi-relativistic Pauli-Fierz hamiltonian”, T. Miyao, H. Spohn, Journal of Functional Analysis, 256, 2123-2156, (2009).
9. “ Nondegeneracy of ground states in the nonrelativistic quantum field theory”, T. Miyao, Journal of Operator Theory, 64, 207-241, (2010)
8. “Polaron with at most one phonon in the weak coupling limit”, T. Miyao, Monatshefte fu¨r Mathematik, 157, 365-378, (2009).
7. “The bipolaron in the strong coupling limit”, T. Miyao, H. Spohn, Annales Henri Poincar´e, 8, 1333-1370, (2007).
6. “ Lowest energy states in nonrelativistic QED: atoms and ions in motion”, M. Loss, T. Miyao, H. Spohn, Journal of Functional Analysis, 34, 689-717, (2007).
5. “Nonrelativistic limit of the abstract chiral quark soliton model and confining effects ”, T. Miyao, Journal of Operator Theory, 57, 429-441, (2007).
4. “Stability of discrete ground state ”, T. Miyao, I, Sasaki, Hokkaido Mathematical Journal, 34, 185-214, (2005).
3. “ Dirac-Weyl operators with a winding gauge potential”, T. Miyao, Hokkaido Mathematical Journal, 34, 185-214, (2005).
2. “Momentum operators with a winding gauge potential”, T. Miyao, Hokkaido Mathematical Journal, 34, 159-184, (2005).
1. “Strongly supercommuting self-adjoint operators”, T. Miyao, Integral Equation and Operator Theory, 50, 505-535, (2004).
6. "Magnetic properties of ground states in many-electron systems ", Oberwolfach report, 49: 31-32, (2023)
5. "Reflection positivity and operator theoretic correlation inequalities ", Oberwolfach report, 55: 42-45, (2018).
4. “ Correlation inequalities for the Fro¨hlich model ”, T. Miyao, RIMS Kokyuroku, 2010: 127-131, (2016).
3. “Mathematical aspects of the Holstein-Hubbard model” , T. Miyao, RIMS Kokyuroku, 1859: 41-49, (2013).
2. “Monotonicity of the Polaron Energy ”, T. Miyao, RIMS Kokyuroku, 1904: 46-53, (2014).
1. “Stability and instability of moving atoms and ions in nonrelativistic QED”, T. Miyao, RIMS Kokyuroku, 1563: 109-123, (2007).
1. “Properties of Pekar-functional”, T. Miyao, H. Spohn, (2007).