lutken

• Lütken, Carsten Andrew (2021). A Planar Cubic Derived from the Logarithm of the Dedekind η -Function. The Mathematical intelligencer. ISSN 0343-6993. 43(3), p. 15–26. doi: 10.1007/s00283-021-10093-7. Full text in Research Archive
• Lutken, Carsten Andrew (2019). Elliptic mirror of the quantum Hall effect. Physical review B (PRB). ISSN 2469-9950. 99(19), p. 195152-1–195152-31. doi: 10.1103/PhysRevB.99.195152. Full text in Research Archive Show summary

  Toroidal sigma models of magneto-transport are analyzed, in which integer and fractional quantum Hall effects automatically are unified by a holomorphic modular symmetry, whose group structure is determined by the spin structure of the toroidal target space (an elliptic curve). Hall quantization is protected by the topology of stable holomorphic vector bundles V on this space, and plateau values σ ⊕ H = μ ∈ Q of the Hall conductivity are rational because such bundles are classified by their slope μ ( V ) = deg ( V ) / rk ( V ) , where deg ( V ) is the degree and rk ( V ) is the rank of V. By exploiting a quantum equivalence called mirror symmetry, these models are mapped to tractable mirror models (also elliptic), in which topological protection is provided by more familiar winding numbers. Phase diagrams and scaling properties of elliptic models are compared to some of the experimental and numerical data accumulated over the past three decades. The geometry of scaling flows extracted from quantum Hall experiments is in good agreement with modular predictions, including the location of many quantum critical points. One conspicuous model has a critical delocalization exponent ν tor = 18 ln 2 / ( π 2 G 4 ) = 2.6051 ⋯ ( G is Gauss' constant) that is in excellent agreement with the value ν num = 2.607 ± . 004 calculated in the numerical Chalker-Coddington model, suggesting that these models are in the same universality class. The real delocalization exponent may be disentangled from other scaling exponents in finite size scaling experiments, giving an experimental value ν exp = 2.3 ± 0.2 . The modular model suggests how these theoretical and experimental results may be reconciled, but to determine if these theoretical models really are in the quantum Hall universality class, improved finite-size scaling experiments are urgently needed.

• Olsen, Kristian Stølevik; Limseth, Henrik Sverre & Lutken, Carsten Andrew (2018). Universality of modular symmetries in two-dimensional magneto transport. Physical review B (PRB). ISSN 2469-9950. 97(4), p. 1–20. doi: 10.1103/PhysRevB.97.045113. Full text in Research Archive Show summary

  We analyze experimental quantum Hall data from a wide range of different materials, including semiconducting heterojunctions, thin films, surface layers, graphene, mercury telluride, bismuth antimonide, and black phosphorus. The fact that these materials have little in common, except that charge transport is effectively two-dimensional, shows how robust and universal the quantum Hall phenomenon is. The scaling and fixed point data we analyzed appear to show that magnetotransport in two dimensions is governed by a small number of universality classes that are classified by modular symmetries, which are infinite discrete symmetries not previously seen in nature. The Hall plateaux are (infrared) stable fixed points of the scaling-flow, and quantum critical points (where the wave function is delocalized) are unstable fixed points of scaling. Modular symmetries are so rigid that they in some cases fix the global geometry of the scaling flow, and therefore predict the exact location of quantum critical points, as well as the shape of flow lines anywhere in the phase diagram. We show that most available experimental quantum Hall scaling data are in good agreement with these predictions.

• Lutken, Carsten Andrew (2015). Introduction to the role of modular symmetries in graphene and other 2-dimensional materials. Contemporary physics (Print). ISSN 0010-7514. 56(3), p. 292–318. doi: 10.1080/00107514.2014.949445. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham G. (2014). Quantum critical Hall exponents. Physics Letters A. ISSN 0375-9601. 378(3), p. 262–265. doi: 10.1016/j.physleta.2013.11.001. Full text in Research Archive
• Nissinen, Jaakko & Lutken, Carsten Andrew (2012). Renormalization-group potential for quantum Hall effects. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 85(15), p. 155123–155140. doi: 10.1103/PhysRevB.85.155123. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham G (2011). Experimental probes of emergent symmetries in the quantum Hall system. Nuclear Physics B. ISSN 0550-3213. 850(2), p. 321–338. doi: 10.1016/j.nuclphysb.2011.04.020. Full text in Research Archive
• Johnsen, Gorm; Lutken, Carsten Andrew; Martinsen, Ørjan Grøttem & Grimnes, Sverre (2011). Memristive model of electro-osmosis in skin. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. ISSN 1539-3755. 83, p. 031916-1–031916-5. doi: 10.1103/PhysRevE.83.031916. Full text in Research Archive
• Martinsen, Ørjan Grøttem; Grimnes, Sverre; Lutken, Carsten Andrew & Johnsen, Gorm Krogh (2010). Memristance in human skin. Journal of Physics: Conference Series (JPCS). ISSN 1742-6588. 224, p. 012071–012071. doi: 10.1088/1742-6596/224/1/012071. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham (2010). On the origin of duality in the quantum Hall system. Physics Letters A. ISSN 0375-9601. 374(46), p. 4700–4703. doi: 10.1016/j.physleta.2010.09.043. Full text in Research Archive
• Grimnes, Sverre; Lutken, Carsten Andrew & Martinsen, Ørjan Grøttem (2009). Memristive properties of electro-osmosis in human sweat ducts. International Federation for Medical and Biological Engineering Proceedings. ISSN 1680-0737. 25, p. 696–698. Full text in Research Archive
• Lutken, Carsten Andrew (2009). THE MEMRISTOR: THE MISSING LINK IN CIRCUIT THEORY. In Martinsen, Ørjan Grøttem & Jensen, Øystein (Ed.), An anthology of developments in clinical engineering and bioimpedance. Medisinsk-teknisk avdelings forlag. ISSN 9788299162692. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham (2007). Geometric scaling in the quantum Hall system. Physics Letters B. ISSN 0370-2693. 653(2-4), p. 363–365. doi: 10.1016/j.physletb.2007.08.022. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham (2006). Anti-holomorphic scaling in the quantum Hall system. Physics Letters A. ISSN 0375-9601. 356, p. 382–384. Full text in Research Archive
• Lutken, Carsten Andrew (2006). Holomorphic anomaly in the quantum Hall system. Nuclear Physics B. ISSN 0550-3213. 759, p. 343–369. doi: 10.1016/j.nuclphysb.2006.09.03. Full text in Research Archive
• Latorre, JI; Lutken, Carsten A; Rico, E & Vidal, G (2005). Fine-grained entanglement loss along renormalization-group flows. Physical Review A. Atomic, Molecular, and Optical Physics (PRA). ISSN 1050-2947. 71, p. 034301–034301. Full text in Research Archive
• Enger, Håkon & Lutken, Carsten A (2004). Non-linear Yang-Mills instantons from strings are pi-stable D-branes. Nuclear Physics B. ISSN 0550-3213. 695, p. 73–83. Full text in Research Archive
• Lutken, Carsten Andrew; Lerche, W. & Schweigert, C. (2002). D-branes on ALE spaces and the ADE classification of conformal field theories. Nuclear Physics B. ISSN 0550-3213. 622, p. 269–278. Full text in Research Archive
• Fuchs, J.; Kaste, P.; Lerche, W.; Lutken, Carsten A; Schweigert, C. & Walcher, J. (2001). Boundary fixed Points, Enhanced Gauge Symmetry and Singular bundles on K3. Nuclear Physics B. ISSN 0550-3213. 598, p. 57–72. Full text in Research Archive
• Kaste, P.; Lerche, W.; Lutken, Carsten A & Walcher, J. (2000). D-Branes on K3-Fibrations. Nuclear Physics B. ISSN 0550-3213. 582, p. 203–215. Full text in Research Archive
• Lutken, Carsten Andrew & Burgess, Cliff (1999). On the implications of discrete symmetries for the b-function of quantum Hall systems. Physics Letters B. ISSN 0370-2693. 451, p. 365–371. Full text in Research Archive
• Lutken, Carsten Andrew; Burgess, Cliff & Cline, J (1998). Electromagnetic Response and Approximate SO(5) Symmetry in High Tc Superconductors. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 57, p. 8549–8549. Full text in Research Archive
• Lutken, Carsten Andrew & Latorre, Jose I (1998). On RG Potentials in Yang-Mills Theories. Physics Letters B. ISSN 0370-2693. 421, p. 217–217. Full text in Research Archive
• Lutken, Carsten Andrew & Burgess, Cliff (1998). SO(5) Invariance and Effective Field Theory for High Tc Superconductors. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 57, p. 8642–8642. Full text in Research Archive
• Lutken, Carsten Andrew & Burgess, C P (1997). One-dimensional flows in the quantum Hall system. Nuclear Physics B. ISSN 0550-3213. 500, p. 367–367. Full text in Research Archive
• Lutken, Carsten Andrew (1995). Anisotropic Transport of Charge and Complexified Duality. Journal of statistical physics. ISSN 0022-4715. 78, p. 441–441. Full text in Research Archive
• Lutken, Carsten Andrew & Hansen, Alex (1995). Semiclassical Quantum Percolation in the Quantum Hall System. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 51, p. 5566–5566. Full text in Research Archive
• Lutken, Carsten Andrew; Burgess, Cliff & Quevedo, Fernando (1994). Bosonization in Higher Dimensions. Physics Letters B. ISSN 0370-2693. 336, p. 18–18. Full text in Research Archive
• Lutken, Carsten Andrew & Einevoll, Gaute (1993). Anisotropic Quantum Hall Effect. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 48, p. 11492–11492. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham G (1993). Delocalization, Duality and Scaling in the Quantum Hall System. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 48, p. 2500–2500. Full text in Research Archive
• Lutken, Carsten Andrew (1993). Geometry of Renormalization Group Flows Constrained by Discrete Global Symmetries. Nuclear Physics B. ISSN 0550-3213. 396, p. 670–670. Full text in Research Archive
• Lutken, Carsten Andrew (1993). Global Phase Diagrams for Charge Transport in Two Dimensions. Journal of Physics A: Mathematical and General. ISSN 0305-4470. 26, p. L811–L811. Full text in Research Archive
• Aspinwall, Paul & Lutken, Carsten Andrew (1992). A new geometry from superstring theory. In Yau, Shing-Tung (Eds.), Essays on Mirror Manifolds. International Press Company. ISSN 9789627670018. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham G (1992). Duality in the Quantum Hall System. Physical Review B. Condensed Matter and Materials Physics. ISSN 1098-0121. 45, p. 11837–11837. Full text in Research Archive
• Lutken, Carsten Andrew & Aspinwall, Paul (1991). Geometry of Mirror Manifolds. Nuclear Physics B. ISSN 0550-3213. 353, p. 427–427. Full text in Research Archive
• Lutken, Carsten Andrew & Aspinwall, Paul (1991). Quantum Algebraic Geometry of Superstring Compactifications. Nuclear Physics B. ISSN 0550-3213. 355, p. 482–482. Full text in Research Archive
• Lutken, Carsten Andrew & Fubini, Sergio (1991). Vertex Operators in the Fractional Quantum Hall Effect. Modern Physics Letters A. ISSN 0217-7323. 6, p. 487–487. Full text in Research Archive
• Lutken, Carsten Andrew; Aspinwall, Paul & Ross, Graham G (1990). Construction and Couplings of Mirror Manifolds. Physics Letters B. ISSN 0370-2693. 241, p. 373–373. Full text in Research Archive
• Lutken, Carsten Andrew (1989). String theory of Calabi-Yau compactifications. In Zralek, M & Manka, R (Ed.), Standard Model and Beyond: Szczyrk, September 19-26 1989 University of Silesia, Katowice : Proceedings of the Xiii International School of Theoretical Physics. Nova Science Publishers. ISSN 9781560720270. Full text in Research Archive
• Lutken, Carsten Andrew; Greene, Brian & Ross, Graham G (1989). Couplings in the Heterotic Superconformal Three Generation Model. Nuclear Physics B. ISSN 0550-3213. 325, p. 101–101. Full text in Research Archive
• Lutken, Carsten Andrew & Latorre, Jose I (1989). Constrained CP^n Models. Physics Letters B. ISSN 0370-2693. 222, p. 55–55. Full text in Research Archive
• Lutken, Carsten Andrew; Greene, Paul S & Hübsch, Tristan (1989). All the Hodge Numbers for All Calabi-Yau Complete Intersections. Classical and Quantum Gravity. ISSN 0264-9381. 6, p. 105–105. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham G (1988). Taxonomy of Heterotic Superconformal Field Theories. Physics Letters B. ISSN 0370-2693. 213, p. 152–152. Full text in Research Archive
• Lutken, Carsten Andrew & Ross, Graham G (1988). Symmetries and Couplings in Heterotic Superconformal Field Theories. Physics Letters B. ISSN 0370-2693. 214, p. 357–357. Full text in Research Archive
• Lutken, Carsten Andrew & Ravndal, Finn (1988). A Symmetry in the Finite Temperature Casimir Effect. Journal of Physics A: Mathematical and General. ISSN 0305-4470. 21, p. L793–L793. Full text in Research Archive
• Lutken, Carsten Andrew; Candelas, Philip & Schimmrigk, Rolf (1988). Complete Intersection Calabi-Yau Manifolds II: Three Generation Manifolds. Nuclear Physics B. ISSN 0550-3213. 306, p. 113–113. Full text in Research Archive
• Lutken, Carsten Andrew; Dale, Anders M; Candelas, Philip & Schimmrigk, Rolf (1988). Complete Intersection Calabi-Yau Manifolds. Nuclear Physics B. ISSN 0550-3213. 298, p. 493–493. Full text in Research Archive
• Lutken, Carsten Andrew (1988). Geometry of the Z-Fold. Journal of Physics A: Mathematical and General. ISSN 0305-4470. 21, p. 1889–1889. Full text in Research Archive
• Candelas, Philip; Lutken, Carsten Andrew & Schimmrigk, Rolf (1988). Complete intersection Calabi-Yau manifolds II, 3-generation manifolds. In Markov, M.A.; Berezin, V.A. & Frolov, V.P. (Ed.), Quantum Gravity. World Scientific. ISSN 9789971504090. p. 435–468. Full text in Research Archive
• Lutken, Carsten Andrew (1988). Recent progress in Calabi-Yauologi. Nuclear physics B, Proceedings supplements. ISSN 0920-5632. 5B, p. 175–180. Full text in Research Archive
• Lutken, Carsten Andrew & Ordóñez, Carlos R (1987). Vacuum Energy of Gravitinos in Eleven Dimensional Supergravity. Classical and Quantum Gravity. ISSN 0264-9381. 4, p. 1525–1525. Full text in Research Archive
• Lutken, Carsten Andrew & Ordóñez, Carlos R (1987). Vacuum Energy of Eleven Dimensional Supergravity. Classical and Quantum Gravity. ISSN 0264-9381. 4, p. 1543–1543. Full text in Research Archive
• Lutken, Carsten Andrew & Allen, Bruce (1986). Spinor Two-Point Functions in Maximally Symmetric Spaces. Communications in Mathematical Physics. ISSN 0010-3616. 106, p. 201–201. Full text in Research Archive
• Lutken, Carsten Andrew & Burgess, Cliff (1985). Propagators and Effective Potentials in Anti-deSitter Space. Physics Letters B. ISSN 0370-2693. 153, p. 137–137. Full text in Research Archive
• Lutken, Carsten Andrew & Ravndal, Finn (1985). Energy Level Shifts in Atoms Between Metallic Plates. Physical Review A. Atomic, Molecular, and Optical Physics (PRA). ISSN 1050-2947. 31, p. 2082–2082. Full text in Research Archive
• Lutken, Carsten Andrew & Ravndal, Finn (1984). Fermionic Vacuum Fluctuations Between Chiral Plates. Journal of Physics G: Nuclear and Particle Physics. ISSN 0954-3899. 10, p. 123–123. Full text in Research Archive
• Lutken, Carsten Andrew & Ravndal, Finn (1983). Energy Level Shifts in Atoms Near a Metallic Plane. Physica Scripta. ISSN 0031-8949. 28, p. 209–209. Full text in Research Archive

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• Lutken, Carsten Andrew (1988). A large class of Calabi-Yau vacua, in Perspectives in String Theory: Proceedings of the Niels Bohr Institute/Nordita Meeting, eds. P. Di Vecchia, J. L. Petersen. World Scientific. ISBN 9789971505349. Full text in Research Archive

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• Olsen, Kristian Stølevik; Limseth, Henrik Sverre & Lutken, Carsten Andrew (2018). Editors 'Suggestion: Universality of modular symmetries in two-dimensional magnetotransport. Physical review B (PRB). ISSN 2469-9950. 97. Full text in Research Archive
• Lutken, Carsten Andrew (2013). Infinite symmetry in the quantum Hall effect, in EPJ Web of Conferences 71, 00079 (2014) http://dx.doi.org/10.1051/epjconf/20147100079. Full text in Research Archive
• Johnsen, Gorm Krogh; Lutken, Carsten Andrew; Martinsen, Ørjan Grøttem & Grimnes, Sverre (2012). Memristoren – en ny kretskomponent. Fra Fysikkens Verden. ISSN 0015-9247. Full text in Research Archive
• Martinsen, Ørjan Grøttem; Grimnes, Sverre; Lutken, Carsten Andrew & Johnsen, Gorm Krogh (2012). Using Memristive Elements for Modeling Electrical Properties of Biological Tissue. Progress in Electromagnetics Research Symposium. ISSN 1559-9450. p. 660–660. Full text in Research Archive
• Einevoll, Gaute T.; Lilje, Per Vidar Barth & Lutken, Carsten A (2003). Fysikkens fremtid? Kvant: tidsskrift for fysik og astronomi. ISSN 0905-8893. 3, p. 19–27. Full text in Research Archive
• Einevoll, Gaute T.; Lilje, Per Vidar Barth & Lutken, Carsten A (2003). Fysikkens fremtid? Fra Fysikkens Verden. ISSN 0015-9247. 2/3, p. 70–80. Full text in Research Archive
• Lutken, Carsten Andrew (1988). Strengteori. Fra Fysikkens Verden. ISSN 0015-9247. 50, p. 19–19. Full text in Research Archive
• Lutken, Carsten Andrew (2012). FYS2150LV Eksperimenter i fysikkundervisningen. Unipub forlag. Full text in Research Archive
• Lutken, Carsten Andrew (1986). Vacuum Structure, UMI86-18530mc. University of Texas at Austin. Full text in Research Archive

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