DFT on Transverse Ising

Zhandos A. Moldabekov, Cheng Ma, Xuecheng Shao, Sebastian Schwalbe, Pontus Svensson, Panagiotis Tolias, Jan Vorberger, and Tobias Dornheim. Generalized density functional theory framework for the nonlinear density response of quantum many-body systems. Physical Review B 113(12), 125115 (2026).

Zhengqian Cheng and Chris A. Marianetti. Mott transition from the nonanalyticity of the one-body reduced density-matrix functional. Physical Review B 113(8), L081108 (2026).

Eoghan Cronin, Rajarshi Tiwari, and Stefano Sanvito. Machine learning semilocal exchange-correlation functionals for Kohn-Sham density functional theory of the Hubbard model. Physical Review B 112(19), 195103 (2025).

E. Costa, R. Fazio, and S. Pilati. Deep learning nonlocal and scalable energy functionals for quantum Ising models. Physical Review B 108(12), 125113 (2023).

Jiahao Mao, Haifeng Tang, Wenhui Duan, and Zheng Liu. Testing density functional theory in a quantum Ising chain. Physical Review B 104(15), 155145 (2021).

Javier Robledo Moreno, Giuseppe Carleo, and Antoine Georges. Deep Learning the Hohenberg-Kohn Maps of Density Functional Theory. Physical Review Letters 125(7), 076402 (2020).

Satoshi Ejima, Florian Lange, Fabian H. L. Essler, and Holger Fehske. Critical behavior of the extended Hubbard model with bond dimerization. Physica B: Condensed Matter 536, 474–478 (2018).

Satoshi Ejima, Fabian H. L. Essler, Florian Lange, and Holger Fehske. Ising tricriticality in the extended Hubbard model with bond dimerization. Physical Review B 93(23), 235118 (2016).

D J Carrascal, J Ferrer, J C Smith, and K Burke. The Hubbard dimer: a density functional case study of a many-body problem. Journal of Physics: Condensed Matter 27(39), 393001 (2015).

Á. Nagy and E. Romera. Quantum phase transitions via density-functional theory: Extension to the degenerate case. Physical Review A 88(4), 042515 (2013).

Frank Pollmann, Subroto Mukerjee, Ari M. Turner, and Joel E. Moore. Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points. Physical Review Letters 102(25), 255701 (2009).

Francisco C. Alcaraz and Klaus Capelle. Density functional formulations for quantum chains. Physical Review B 76(3), 035109 (2007).

K. Buchta, Ö. Legeza, E. Szirmai, and J. Sólyom. Mott transition and dimerization in the one-dimensional SU(n) Hubbard model. Physical Review B 75(15), 155108 (2007).

M. Tsuchiizu and A. Furusaki. Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model. Physical Review B 69(3), 035103 (2004).

F. Aryasetiawan and O. Gunnarsson. Exchange-correlation kernel in time-dependent density functional theory. Physical Review B 66(16), 165119 (2002).

S. L. Sondhi, S. M. Girvin, J. P. Carini, and D. Shahar. Continuous quantum phase transitions. Reviews of Modern Physics 69(1), 315–333 (1997).

K. Schönhammer, O. Gunnarsson, and R. M. Noack. Density-functional theory on a lattice: Comparison with exact numerical results for a model with strongly correlated electrons. Physical Review B 52(4), 2504–2510 (1995).

Reijiro Fukuda, Takao Kotani, Yoko Suzuki, and Satoshi Yokojima. Density Functional Theory through Legendre Transformation. Progress of Theoretical Physics 92(4), 833–862 (1994).