Abstract:
:Metals in one spatial dimension are described at the lowest energy scales by the Luttinger liquid theory. It is well understood that this free theory, and even interacting integrable models, can support ballistic transport of conserved quantities including energy. In contrast, realistic one-dimensional metals, even without disorder, contain integrability-breaking interactions that are expected to lead to thermalization and conventional diffusive linear response. We argue that the expansion of energy when such a nonintegrable Luttinger liquid is locally heated above its ground state shows superdiffusive behavior (i.e., spreading of energy that is intermediate between diffusion and ballistic propagation), by combining an analytical anomalous diffusion model with numerical matrix-product-state calculations on a specific perturbed spinless fermion chain. Different metals will have different scaling exponents and shapes in their energy spreading, but the superdiffusive behavior is stable and should be visible in time-resolved experiments.
journal_name
Proc Natl Acad Sci U S Aauthors
Bulchandani VB,Karrasch C,Moore JEdoi
10.1073/pnas.1916213117subject
Has Abstractpub_date
2020-06-09 00:00:00pages
12713-12718issue
23eissn
0027-8424issn
1091-6490pii
1916213117journal_volume
117pub_type
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