Junctions of multiple quantum wires with different Luttinger parameters
Abstract
Within the framework of boundary conformal field theory, we evaluate the conductance of stable fixed points of junctions of two and three quantum wires with different Luttinger parameters. For two wires, the physical properties are governed by a single effective Luttinger parameter for each of the charge and spin sectors. We present numerical density-matrix-renormalization-group calculations of the conductance of a junction of two chains of interacting spinless fermions with different interaction strengths, obtained using a recently developed method [ Phys. Rev. Lett. 105 226803 (2010)]. The numerical results show very good agreement with the analytical predictions. For three spinless wires (i.e., a Y junction) we analytically determine the full phase diagram and compute all fixed-point conductances as a function of the three Luttinger parameters.
Additional Information
© 2012 American Physical Society. Received 9 May 2012; revised manuscript received 2 August 2012; published 22 August 2012. We thank I. Affleck and M. Oshikawa for enlightening discussions, and for collaboration on closely related work. We are also grateful to P. Wölfle for helpful discussions regarding his results. This work was supported in part by the DOE Grant No. DE-FG02-06ER46316 (A.R., C.C., C.-Y.H.), the U.S. Department of Energy through LANL/LDRD program (A.R.), the NSF Grant No. DMR-0955707 (A.E.F.), and the DARPA-QuEST program (C.-Y.H.).Attached Files
Published - PhysRevB.86.075451.pdf
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Additional details
- Eprint ID
- 34330
- Resolver ID
- CaltechAUTHORS:20120924-151411191
- DE-FG02-06ER46316
- Department of Energy (DOE)
- Department of Energy (DOE) LANL/LDRD Program
- DMR-0955707
- NSF
- DARPA-QuEST Program
- Created
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2012-09-24Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field