Non-Fermi-liquid d-wave metal phase of strongly interacting electrons

Hong-Chen Jiang, Matthew S. Block, Ryan V. Mishmash (), James R. Garrison, D. N. Sheng, Olexei I. Motrunich and Matthew P. A. Fisher
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Hong-Chen Jiang: Kavli Institute for Theoretical Physics, University of California
Matthew S. Block: University of Kentucky
Ryan V. Mishmash: University of California
James R. Garrison: University of California
D. N. Sheng: California State University
Olexei I. Motrunich: California Institute of Technology
Matthew P. A. Fisher: University of California

Nature, 2013, vol. 493, issue 7430, 39-44

Abstract: Abstract Developing a theoretical framework for conducting electronic fluids qualitatively distinct from those described by Landau’s Fermi-liquid theory is of central importance to many outstanding problems in condensed matter physics. One such problem is that, above the transition temperature and near optimal doping, high-transition-temperature copper-oxide superconductors exhibit ‘strange metal’ behaviour that is inconsistent with being a traditional Landau Fermi liquid. Indeed, a microscopic theory of a strange-metal quantum phase could shed new light on the interesting low-temperature behaviour in the pseudogap regime and on the d-wave superconductor itself. Here we present a theory for a specific example of a strange metal—the ‘d-wave metal’. Using variational wavefunctions, gauge theoretic arguments, and ultimately large-scale density matrix renormalization group calculations, we show that this remarkable quantum phase is the ground state of a reasonable microscopic Hamiltonian—the usual t–J model with electron kinetic energy t and two-spin exchange J supplemented with a frustrated electron ‘ring-exchange’ term, which we here examine extensively on the square lattice two-leg ladder. These findings constitute an explicit theoretical example of a genuine non-Fermi-liquid metal existing as the ground state of a realistic model.

Date: 2013
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DOI: 10.1038/nature11732

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