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

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, in press

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.