Publications

– Super-Klein tunneling in 2D Lorentzian-type barriers in graphene
Alonso Contreras-Astorga, Francisco Correa, Luis Inzunza, Vit Jakubsky, Raul Valencia-Torres
e-Print: arXiv: 2603.20950
Physical Review Research, in press.

– The soliton nature of the super-Klein tunneling effect
Francisco Correa, Luis Inzunza, Olaf Lechtenfeld
e-Print: arXiv:2602.02073
Phys. Rev. D 113 (2026) 105027

– Quasi-isospectral higher-order Hamiltonians via a reversed Lax pair construction
Francisco Correa, Andreas Fring
e-Print: arXiv: 2507.19622
Phys. Scr. 101 (2026) 155204

– Integrable black hole dynamics in the asymptotic structure of AdS3
Marcela Cárdenas, Francisco Correa, Miguel Pino
e-Print: arXiv: 2504.20292
Phys. Rev. D 114 (2026) 026010

– Coupling and particle number intertwiners in the Calogero model
Francisco Correa, Luis Inzunza, Olaf Lechtenfeld
e-Print: arXiv:2504.01177
JHEP 2025 (2025) 8

– SUSY design of smooth quantum rings in graphene
Francisco Correa, Luis Inzunza, Vít Jakubský
e-Print: arXiv:2501.08422
Physical Review Research 7 (2025) 033101

– The Carrollian limit of ModMax electrodynamics
Francisco Correa, Ankai Hernández, Julio Oliva
e-Print: arXiv:2409.18095
JHEP 2024 (2024) 8

– Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
Francisco Correa, Luis Inzunza, Vít Jakubský
e-Print: arXiv:2401.13864
Phys. Rev. B 110 (2024) 075120.

– Integrable extensions of two-center Coulomb systems
Francisco Correa, Octavio Quintana
e-Print: arXiv:2312.02013
Phys. Rev. D, 109 (2024) 085011

– A Casimir operator for the Calogero W algebra
Francisco Correa, Gonzalo Leal, Olaf Lechtenfeld, Ian Marquette
e-Print: arXiv:2308.07390
J. Phys. A: Math. Theor. 57 (2024) 085203

– Integrability meets the charged relativistic particle
Francisco Correa, Justo López-Sarrión
e-Print: arXiv:2307.13741
Phys. Lett. B 856 (2024) 138883

– Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models
Francisco Correa, Andreas Fring, Octavio Quintana
e-Print: arXiv:2307.02613
J. Phys. A: Math. Theor.  57 (2024) 055203

– Non-Hermitian superintegrable systems
Francisco Correa, Luis Inzunza, Ian Marquette
e-Print: arXiv:2304.01039
J. Phys. A: Math. Theor.  56 (2023) 345207

– Moduli spaces for PT-regularized solitons
Francisco Correa, Andreas Fring, Takanobu Taira
e-Print: arXiv:2208.03199
JHEP 2022 (2022) 109

– Stability in integrable nonlocal nonlinear equations
Julia Cen, Francisco Correa, Andreas Fring, Takanobu Taira
e-Print: arXiv:2112.12206
Phys. Lett. A 435 (2022) 128060

– Linearly stable and unstable complex soliton solutions with real energies in the Bullough-Dodd model
Francisco Correa, Andreas Fring, Takanobu Taira
e-Print: arXiv:2110.06825
Nuclear Physics B 979 (2022)115783

– Algebraic integrability of PT-deformed Calogero models
Francisco Correa, Olaf Lechtenfeld
e-Print: arXiv:2106.05428
J. Phys.: Conf. Ser. (2021) 2038 012007

– N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N)
Francisco Correa, Md Fazlul Hoque, Ian Marquette, Yao-Zhong Zhang
e-Print: arXiv:2106.04733
J. Phys. A: Math. Theor. 54 (2021) 395201

– Integrable Systems and Spacetime Dynamics
Marcela Cárdenas, Francisco Correa, Kristiansen Lara, Miguel Pino
e-Print: arXiv:2104.09676
Phys. Rev. Lett. 127 (2021) 16, 161601

– Complex BPS Skyrmions with real energy
Francisco Correa, Andreas Fring, Takanobu Taira
e-Print: arXiv:2102.05781
Nucl. Phys. B 971 (2021) 115516

– Integrability, intertwiners and non-linear algebras in Calogero models
Francisca Carrillo-Morales, Francisco Correa, Olaf Lechtenfeld
e-Print: arXiv:2101.07274
JHEP 2021 (2021) 163

– Polynomial algebras from su(3) and the generic model on the two sphere
Francisco Correa, Mariano A. del Olmo, Ian Marquette, Javier Negro
e-Print: arXiv:2007.11163
J. Phys. A, 54 (2021) 1, 015205.

– Super-Klein tunneling of Dirac fermions through electrostatic gratings in graphene
Alonso Contreras-Astorga, Francisco Correa and Vit Jakubsky
e-Print: arXiv:2006.08207
Phys. Rev. B 102 (2020) 11, 115429.

– Nonlocal gauge equivalence: Hirota versus extended continuous Heisenberg and Landau-Lifschitz equation
Julia Cen, Francisco Correa and Andreas Fring.
e-Print: arXiv:1910.07272
J. Phys. A, 53 (2020) 195201

– Microscopic entropy of higher-dimensional nonminimally dressed Lifshitz black holes 

Eloy Ayón-Beato, Moisés Bravo-Gaete, Francisco Correa, Mokhtar Hassaïne and María Montserrat Juárez-Aubry.

e-Print: arXiv: 1904.09391

Phys. Rev. D 100 (2019) no.4, 044024

– PT deformation of Calogero-Sutherland models
Francisco Correa and Olaf Lechtenfeld
e-Print: arXiv: 1903.06481
JHEP 1905 (2019) 166

– Integrable nonlocal Hirota equations

Julia Cen, Francisco Correa and Andreas Fring.

e-Print: arXiv: 1710.11560

J.Math.Phys. 60 (2019) no.8, 081508

– Darboux–Crum transformations, Jordan states and PT-symmetry

Francisco Correa

Phys. Part. Nucl. Lett. 14 (2017) no.2, 395-399.

– PT deformation of angular Calogero models

Francisco Correa and Olaf Lechtenfeld

e-Print: arXiv: 1705.05425

JHEP 1711 (2017) 122.

– Degenerate multi-solitons in the sine-Gordon equation

Julia Cen, Francisco Correa and Andreas Fring.

e-Print: arXiv: 1705.04749

J. Phys. A50 (2017) no.43, 435201.

– Time-delay and reality conditions for complex solitons.

Julia Cen, Francisco Correa and Andreas Fring.

e-Print: arXiv: 1608.01691

J. Math. Phys. 58 (2017) 032901.

– Confluent Crum-Darboux transformations in Dirac Hamiltonians with PT-symmetric Bragg gratings.

Francisco Correa and Vit Jakubsky.

e-Print: arXiv: 1612.06349

Phys. Rev. A 95 (2017) no.3, 033807.

– Calogero, spherically reduced and PT-deformed.

Francisco Correa and Olaf Lechtenfeld.

PoS CORFU2016 (2017) 095.

– The tetrahexahedric angular Calogero model.

Francisco Correa and Olaf Lechtenfeld.

J. Phys. Conf. Ser. 804 (2017) no.1, 012011.

– The tetrahexahedric Calogero model.

Francisco Correa and Olaf Lechtenfeld.

e-Print: arXiv: 1604.06457

Phys. Part. Nucl. Lett. 14 (2017) no.2, 304-311.

– Regularized degenerate multi-solitons.

Francisco Correa and Andreas Fring.

e-Print: arXiv: 1605.06371

JHEP 1609 (2016) 008.

– Spherical Calogero model with oscillator/Coulomb potential: quantum case.

Francisco Correa, Tigran Hakobyan, Olaf Lechtenfeld and Armen Nersessian.

e-Print: arXiv: 1604.00027

Phys. Rev. D 93 (2016) no.12, 125009.

– Spherical Calogero model with oscillator/Coulomb potential: classical case.

Francisco Correa, Tigran Hakobyan, Olaf Lechtenfeld and Armen Nersessian.

e-Print: arXiv: 1604.00026

Phys. Rev. D 93 (2016) no.12, 125008.

– The tetrahexahedric angular Calogero model.

Francisco Correa and Olaf Lechtenfeld.

e-Print: arXiv: 1508.04925

JHEP 1510 (2015) 191.

– PT-symmetric invisible defects and confluent Darboux-Crum transformations.

Francisco Correa, Vit Jakubsky and Mikhail S. Plyushchay.

e-Print: arXiv: 1506.00991

Phys. Rev. A 92 (2015) no.2, 023839.

– First law and anisotropic Cardy formula for three-dimensional Lifshitz black holes.

Eloy Ayón-Beato, Moisés Bravo-Gaete, Francisco Correa, Mokhtar Hassaïne, María Montserrat Juárez-Aubry and Julio Oliva.

e-Print: arXiv: 1501.01244

Phys. Rev. D 91 (2015) no.6, 064006.

– Soliton defects in one-gap periodic system and exotic supersymmetry.

Adrián Arancibia, Francisco Correa, Vít Jakubský, Juan Mateos Guilarte and Mikhail S. Plyushchay.

e-Print: arXiv: 1410.3565

Phys. Rev. D 90 (2014) no.12, 125041.

– Exact multisoliton solutions in the four-dimensional Skyrme model.

Fabrizio Canfora, Francisco Correa and Jorge Zanelli.

e-Print: arXiv: 1406.4136

Phys. Rev. D 90 (2014) 085002.

– Twisted kinks, Dirac transparent systems and Darboux transformations.

Francisco Correa and Vit Jakubsky.

e-Print: arXiv: 1406.2997

Phys. Rev. D 90 (2014) no.12, 125003.

– Black holes in New Massive Gravity dressed by a (non)minimally coupled scalar field.

Francisco Correa, Mokhtar Hassaine and Julio Oliva.

e-Print: arXiv: 1403.6479

Phys. Rev. D 89 (2014) no.12, 124005.

– Nonlinear supersymmetry in the quantum Calogero model.

Francisco Correa, Olaf Lechtenfeld and Mikhail Plyushchay.

e-Print: arXiv: 1312.5749

JHEP 1404 (2014) 151.

– Thermodynamics of Lovelock black holes with a nonminimal scalar field.

Francisco Correa and Mokhtar Hassaine.

e-Print: arXiv: 1312.4516

JHEP 1402 (2014) 014.

– Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry.

Francisco Correa and Vit Jakubsky.

e-Print: arXiv: 1301.1943

Phys. Rev. D 87 (2013) no.8, 085019.

– Rotating hairy black hole and its microscopic entropy in three spacetime dimensions.

Francisco Correa, Aníbal Faúndez and Cristián Martínez.

e-Print: arXiv: 1211.4878

Phys. Rev. D 87 (2013) no.2, 027502.

– Exact meron Black Holes in four dimensional SU(2) Einstein-Yang-Mills theory.

Fabrizio Canfora, Francisco Correa, Alex Giacomini and Julio Oliva.

e-Print: arXiv: 1208.6042

Phys. Lett. B 722 (2013) 364-371.

– Spectral singularities in PT-symmetric periodic finite-gap systems.

Francisco Correa and Mikhail S. Plyushchay.

e-Print: arXiv: 1208.4448

Phys. Rev. D 86 (2012) 085028.

– Self-isospectral tri-supersymmetry in PT-symmetric quantum systems with pure imaginary periodicity.

Francisco Correa and Mikhail S. Plyushchay.

e-Print: arXiv: 1201.2750

Annals Phys. 327 (2012) 1761-1783.

– Hairy Black Hole Entropy and the Role of Solitons in Three Dimensions.

Francisco Correa, Cristian Martinez and Ricardo Troncoso.

e-Print: arXiv: 1112.6198

JHEP 1202 (2012) 136.

– Scalar solitons and the microscopic entropy of hairy black holes in three dimensions.

Francisco Correa, Cristian Martinez and Ricardo Troncoso.

e-Print: arXiv: 1010.1259

JHEP 1101 (2011) 034.

– Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons.

Francisco Correa, Horacio Falomir, Vit Jakubsky and Mikhail S. Plyushchay.

e-Print: arXiv: 1003.1434

Annals Phys. 325 (2010) 2653-2667.

– Hidden superconformal symmetry of spinless Aharonov-Bohm system.

Francisco Correa, Horacio Falomir, Vit Jakubsky and Mikhail S. Plyushchay.

e-Print: arXiv: 0906.4055

J. Phys. A 43 (2010) 075202.

– The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry.

Francisco Correa, Gerald V. Dunne and Mikhail S. Plyushchay.

e-Print: arXiv: 0904.2768

Annals Phys. 324 (2009) 2522-2547.

– Aharonov-Bohm effect on AdS(2) and nonlinear supersymmetry of reflectionless Poschl-Teller system.

Francisco Correa, Vit Jakubsky and Mikhail S. Plyushchay.

e-Print: arXiv: 0809.2854

Annals Phys. 324 (2009) 1078-1094.

– Finite-gap systems, tri-supersymmetry and self-isospectrality.

Francisco Correa, Vit Jakubsky and Mikhail S. Plyushchay.

e-Print: arXiv: 0806.1614

J. Phys. A 41 (2008) 485303.

– Self-isospectrality, special supersymmetry, and their effect on the band structure.

Francisco Correa, Vit Jakubsky, Luis-Miguel Nieto and Mikhail S. Plyushchay.

e-Print: arXiv: 0801.1671

Phys. Rev. Lett. 101 (2008) 030403.

– Hidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D Dirac delta potential problem.

Francisco Correa, Luis-Miguel Nieto and Mikhail S. Plyushchay.

e-Print: arXiv: 0707.1393

Phys. Lett. B 659 (2008) 746-753.

– Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation.

Francisco Correa and Mikhail S. Plyushchay.

e-Print: arXiv: 0706.1114

J. Phys. A 40 (2007) 14403-14412.

– Hidden nonlinear supersymmetry of finite-gap Lame equation.

Francisco Correa, Luis-Miguel Nieto and Mikhail S. Plyushchay.

e-Print: hep-th/0608096

Phys. Lett. B 644 (2007) 94-98.

– Hidden supersymmetry in quantum bosonic systems.

Francisco Correa and Mikhail S. Plyushchay.

e-Print: hep-th/0605104

Annals Phys. 322 (2007) 2493-2500.

– On Hidden broken nonlinear superconformal symmetry of conformal mechanics and nature of double nonlinear superconformal symmetry.

Francisco Correa, Mariano A. del Olmo and Mikhail S. Plyushchay.

e-Print: hep-th/0508223

Phys. Lett. B 628 (2005) 157-164.