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, arXiv:2411.06967, to appear in Communications in Mathematical Physics.
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).