Journal
PHYSICAL REVIEW LETTERS
Volume 111, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.111.256401
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Funding
- UChicago Argonne, LLC [DE-AC02-06CH11357]
- JSPS KAKENHI [24540338]
- RIKEN iTHES Project
- National Science Foundation [PHYS-1066293]
- Grants-in-Aid for Scientific Research [24540338] Funding Source: KAKEN
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The low-energy properties of one-dimensional quantum liquids are commonly described in terms of the Tomonaga-Luttinger liquid theory, in which the elementary excitations are free bosons. To this approximation, the theory can be alternatively recast in terms of free fermions. In both approaches, small perturbations give rise to finite lifetimes of excitations. We evaluate the decay rate of fermionic excitations and show that it scales as the eighth power of energy, in contrast to the much faster decay of bosonic excitations. Our results can be tested experimentally by measuring the broadening of power-law features in the density structure factor or spectral functions.
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