Academic
Here I present some of the material I have produced as part of my academic research.
Publications
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T. Maciążek, A. Sawicki, D. Gross, A. Lopes, C. Schilling, Implications of pinned occupation numbers for natural orbital expansions. II: Rigorous derivation and extension to non-fermionic systems. New J. Phys. , 22 023002, 2019. (arXiv:1908.11669) . Keywords: Pinning, Pauli Exclusion, Pauli Constraints, Active Spaces
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C. Schilling, C. Benavides-Riveros, A. Lopes, T. Maciążek, A. Sawicki, Implications of pinned occupation numbers for natural orbital expansions. I: Generalizing the concept of active spaces. New J. Phys. , 22 023001, 2019. (arXiv:1908.10938) . Keywords: Pinning, Pauli Exclusion, Pauli Constraints, Active Spaces
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C. Schilling, M. Altunbulak, S. Knecht, A. Lopes et al. Generalized Pauli constraints in small atoms. Phys. Rev. A 97:052503, May 2018. (arXiv:1710.03074). Keywords: Pinning, Pauli Exclusion, Pauli Constraints, Active Spaces
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A. A. Lopes, and R. G. Dias. Simple approach for the two-terminal conductance through interacting clusters. arXiv:1407.5922 [cond-mat.mes-hall] (arXiv:1407.5922). Keywords: Two-terminal conductance, Condactance Through Interacting Clusters
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A. A. Lopes, B. A. Z. António, R. G. Dias. Conductance through itinerant geometrically frustrated electronic systems. Phys. Rev. B 89(23):235418, Jun 2014. (arXiv:1402.2791). Keywords: AB2 Chain Conductance, Aharonov-Bohm Cage Conductance, Diamond Chain Conductance, Localized States, Flatband
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B A Z António, A A Lopes, and R G Dias. Transport through quantum rings. Eur. J. Phys. , 34(4):831, 2013. (arXiv:1403.1154). Keywords: Quantum Rings Conductance
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A. A. Lopes and R. G. Dias. Interacting spinless fermions in a diamond chain. Phys. Rev. B ,
84(8):085124, Aug 2011. (arXiv:1110.2224). Keywords: AB2 Chain, Aharonov-Bohm Cage, Diamond Chain, Interacting Spinless Fermions, Geometric Frustration, Exact t-V Model Solution, Gapped Hamiltonian, Persistent Currents, Localized States, Flatband
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M. Facão, A. Lopes, A. L. Silva, and P. Silva. Computer simulation for calculating the second-order correlation
function of classical and quantum light. Eur. J. Phys. , 32(4):925, 2011. Keywords: Second-Order Correlation Function, Bunched Light, Anti-Bunched Light