Theory of a Planckian Metal

Patel, Aavishkar A.; Sachdev, Subir

doi:10.1103/physrevlett.123.066601

Theory of a Planckian Metal

Journal Article · Wed Aug 07 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.123.066601· OSTI ID:1613074

Patel, Aavishkar A. ^[1]; ^[2]

Harvard Univ., Cambridge, MA (United States); DOE/OSTI
Harvard Univ., Cambridge, MA (United States)

We present a lattice model of fermions with N flavors and random interactions that describes a Planckian metal at low temperatures T → 0 in the solvable limit of large N. We begin with quasiparticles around a Fermi surface with effective mass m* and then include random interactions that lead to fermion spectral functions with frequency scaling with k_BT/ℏ. Here, the resistivity ρ obeys the Drude formula ρ = m*/(ne²τ_tr), where n is the density of fermions, and the transport scattering rate is 1/τ_tr = fk_BT/ℏ; we find f of order unity and essentially independent of the strength and form of the interactions. The random interactions are a generalization of the Sachdev-Ye-Kitaev models; it is assumed that processes nonresonant in the bare quasiparticle energies only renormalize m*, while resonant processes are shown to produce the Planckian behavior.

View Accepted Manuscript (DOE)

Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0019030

OSTI ID:: 1613074

Alternate ID(s):: OSTI ID: 1547979

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 6 Vol. 123; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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