Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Threshold singularities in the dynamic response of gapless integrable models
AU - Cheianov, Vadim
AU - Pustilnik, Michael
PY - 2008/3/28
Y1 - 2008/3/28
N2 - We develop a method of an asymptotically exact treatment of threshold singularities in dynamic response functions of gapless integrable models. The method utilizes the integrability to recast the original problem in terms of the low-energy properties of a certain deformed Hamiltonian. The deformed Hamiltonian is local; hence, it can be analyzed using the conventional field theory methods. We apply the technique to spinless fermions on a lattice with nearest-neighbors repulsion, and evaluate the exponent characterizing the threshold singularity in the dynamic structure factor.
AB - We develop a method of an asymptotically exact treatment of threshold singularities in dynamic response functions of gapless integrable models. The method utilizes the integrability to recast the original problem in terms of the low-energy properties of a certain deformed Hamiltonian. The deformed Hamiltonian is local; hence, it can be analyzed using the conventional field theory methods. We apply the technique to spinless fermions on a lattice with nearest-neighbors repulsion, and evaluate the exponent characterizing the threshold singularity in the dynamic structure factor.
UR - http://www.scopus.com/inward/record.url?scp=41549151087&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.100.126403
DO - 10.1103/PhysRevLett.100.126403
M3 - Journal article
VL - 100
SP - -
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 12
M1 - 126403
ER -