Thermal transport in chiral conformal theories and hierarchical quantum Hall states |
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| Institution: | 1. INFN and Dipartimento di Fisica, Via G. Sansone 1, I-50019 Sesto Fiorentino (FI), Italy;2. Centre de Physique Theorique, CNRS, Campus de Luminy, Case 907, F-13288 Marseille, France;3. Physics Department, CNEA Av. Libertador 8250, (1429) Buenos Aires, and Universidad Favaloro, Solı́s 453, (1078) Buenos Aires, Argentina;1. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk 660036, Russia;2. Siberian State Aerospace University, Krasnoyarsk 660014, Russia;1. Departamento de Fisica Fundamental, University of Salamanca, Spain;2. CMCC, Universidade Federal do ABC, Santo Andre, Sao Paulo, Brazil;3. Physics Department, Tomsk State University, Tomsk, Russia;1. Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, 15784 Athens, Greece;2. Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland;1. Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile;2. Departamento de Física, Universidad de Guadalajara, CUCEI, Av. Revolución 1500, 44420 Guadalajara, Jalisco, Mexico;3. Department of Physics & Earth Sciences, Jacobs University, Bremen, Germany;4. Karlsruhe Institute of Technology, Karlsruhe, Germany;1. Shanghai Key Laboratory of High Temperature Superconductors, Department of Physics, Shanghai University, Shanghai, 200444, China;2. Department of Physics, University of California, San Diego, CA92122, USA;3. Department of Physics, Hanyang University, Seoul 133-791, Republic of Korea;4. Department of Physics, Shanghai University, Shanghai, 200444, China |
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| Abstract: | Chiral conformal field theories are characterized by a ground-state current at finite temperature, that could be observed, e.g., in the edge excitations of the quantum Hall effect. We show that the corresponding thermal conductance is directly proportional to the gravitational anomaly of the conformal theory, upon extending the well-known relation between specific heat and conformal anomaly. The thermal current could signal the elusive neutral edge modes that are expected in the hierarchical Hall states. We then compute the thermal conductance for the Abelian multi-component theory and the W1+∞ minimal model, two conformal theories that are good candidates for describing the hierarchical states. Their conductances agree to leading order but differ in the first, universal finite-size correction, that could be used as a selective experimental signature. |
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