Last update at 2nd October 2021. See also ArXiv, and Google Scholar.
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
Preprints
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[22].
Levi O. A. Azevedo, Orlando S. Ribeiro, Natanael C. Costa, Elis H. C. P. Sinnecker, Miriam Gandelman
Revisitando o Experimento de Eratóstenes: medida do raio de Terra
Submitted for publication.
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[21].
W. S. Oliveira, J. Pimentel de Lima, Natanael C. Costa, R. R. dos Santos
Percolation on Lieb lattices
Submitted for publication.
Links:
https://arxiv.org/abs/2109.11384
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[20].
Andrea Tirelli, Natanael C. Costa
Learning quantum phase transitions through Topological Data Analysis
Submitted for publication.
Links:
https://arxiv.org/abs/2109.09555
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[19].
Maykon V. Araújo, José P. de Lima, Sandro Sorella, Natanael C. Costa
The two-dimensional t-t’ Holstein model
Submitted for publication.
Links:
https://arxiv.org/abs/2109.04272
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[18].
Sérgio Mikael V. S. Rosa, José Pimentel de Lima, Natanael C. Costa, Lindberg Lima Gonçalves.
The transverse field XY model on the diamond chain
Submitted for publication.
Links:
https://arxiv.org/abs/2108.04179
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
2021
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[17].
Natanael C. Costa, Kazuhiro Seki, and Sandro Sorella.
Magnetism and charge order in the honeycomb lattice
Phys. Rev. Lett. 126, 107205 (2021)
Links:
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.126.107205
https://arxiv.org/abs/2009.05586
Highlighted on Brazilian Physical Society website:
http://www.sbfisica.org.br/v1/home/index.php/pt/destaque-em-fisica/1378-estudo-mostra-como-interacoes-eletron-fonon-afetam-propriedades-do-grafeno
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[16].
B. Xiao, N. C. Costa, E. Khatami, G. G. Batrouni, and R. T. Scalettar.
Charge density wave and superconductivity in the disordered Holstein model
Phys. Rev. B 103, L060501 — (Letter)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.103.L060501
https://arxiv.org/abs/1910.08703
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
2020
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[15].
N.C. Costa, K. Seki, S. Yunoki, S. Sorella
Phase diagram of the two-dimensional Hubbard-Holstein model,
(Nature) Communications Physics 3, 1-6 (2020)
Links:
https://www.nature.com/articles/s42005-020-0342-2
https://arxiv.org/abs/1910.01146
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[14].
S.A. Sousa-Júnior, J.P. de Lima, N.C. Costa, R.R. dos Santos
Superconducting Kondo phase in an orbitally-separated bilayer
Phys. Rev. Research 2, 033168 (2020)
Links
https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.033168
https://arxiv.org/abs/2005.11342
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[13].
L. Oliveira-Lima, N.C. Costa, J.P. de Lima, R.T. Scalettar, R.R. dos Santos
Dynamical resilience to disorder: The dilute Hubbard model on the Lieb lattice
Phys. Rev. B 101, 165109 (2020)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.101.165109
https://arxiv.org/abs/1912.04918
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
2019
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[12].
B. Cohen-Stead, N.C. Costa, E. Khatami, and R.T. Scalettar.
Effect of strain on charge density wave order in the Holstein model
Phys. Rev. B 100, 045125 (2019)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.045125
https://arxiv.org/abs/1905.05831
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[11].
L. Zhang, T. Ma, N.C. Costa, R.R. dos Santos, and R.T. Scalettar
Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model
Phys. Rev. B 99, 195147 (2019)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.195147
https://arxiv.org/abs/1903.09983
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[10].
N.C. Costa, T. Mendes-Santos, T. Paiva, N. Curro, R.R. dos Santos, and R.T. Scalettar.
Coherence temperature in the diluted periodic Anderson model
Phys. Rev. B 99, 195116 (2019)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.195116
https://arxiv.org/abs/1812.09426
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[9].
Y.-X. Zhang, W.-T. Chiu, N.C. Costa, G.G. Batrouni and R.T. Scalettar.
Charge Order in the Holstein Model on a Honeycomb Lattice
Phys. Rev. Lett. 122, 077602 (2019)
Links:
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.077602
https://arxiv.org/abs/1809.07902
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
2018
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[8].
N.C. Costa, T. Blommel, W.-T. Chiu, G. Batrouni and R.T. Scalettar.
Phonon dispersion and the competition between pairing and charge order
Phys. Rev. Lett. 120, 187003 (2018)
Links:
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.187003
https://arxiv.org/abs/1712.04072
Highlighted on Brazilian Physical Society website:
http://www.sbfisica.org.br/v1/home/index.php/pt/destaque-em-fisica/746-entendendo-a-ordem-de-carga-em-materiais
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[7].
N.C. Costa, M.V. Araújo, J.P. Lima, T. Paiva, R.R. dos Santos and R.T. Scalettar.
Compressible Ferrimagnetism in the depleted Periodic Anderson Model
Phys. Rev. B 97, 085123 (2018)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.085123
https://arxiv.org/abs/1711.00983
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[6].
N.C. Costa, J.P. Lima, T. Paiva, M. ElMassalami and R.R. dos Santos.
A mean-field approach to Kondo–attractive-Hubbard model
Journal of Physics: Condensed Matter 30, 045602 (2018)
Links:
https://iopscience.iop.org/article/10.1088/1361-648X/aaa1ab
https://arxiv.org/abs/1702.03359
Featured in IOP Latinoamerica (Feb. and Aug. 2018)
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
2017
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[5].
N.C. Costa, W. Hu, Z.J. Bai, R.T. Scalettar and R.R.P. Singh.
Principal component analysis for fermionic critical points
Phys. Rev. B 96, 195138 (2017)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.195138
https://arxiv.org/abs/1708.04762
Featured in Phys. Rev. B Kaleidoscope:
https://journals.aps.org/prb/kaleidoscope/prb/96/19/195138
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[4].
H.S. Sousa, J.P. Lima, N.C. Costa, M.L. Lyra and L.L. Gonçalves
A mean field study of quantum transitions in a spin-1/2 XY chain with a transverse long-range interaction
Jour. Mag. Mag. Mat. 441, 482-489 (2017)
Links:
https://www.sciencedirect.com/science/article/pii/S030488531633520X
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[3].
T. Mendes-Santos, N.C. Costa, G. Batrouni, N. Curro, R.R. dos Santos, T. Paiva and R.T. Scalettar
Impurities near an antiferromagnetic-singlet quantum critical point
Phys. Rev. B 95, 054419 (2017)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.054419
https://arxiv.org/abs/1607.06054
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[2].
N.C. Costa, J.P. Lima and R.R. dos Santos
Spiral magnetic phases on the Kondo Lattice Model: A Hartree-Fock approach
Jour. Mag. Mag. Mat. 423, 74-83 (2017)
Links:
https://www.sciencedirect.com/science/article/pii/S0304885316321783
https://arxiv.org/abs/1506.00890
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
2016
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
[1].
Natanael C. Costa, Tiago Mendes-Santos, Thereza Paiva, Raimundo R. dos Santos, and Richard T. Scalettar
Ferromagnetism beyond Lieb’s theorem,
Phys. Rev. B 94, 155107 (2016)
Links:
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.155107
https://arxiv.org/abs/1610.03566
- – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - – - -
