Drude weight in systems with open boundary conditions

Marcos Antonio Rigol, B. Sriram Shastry

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

For finite systems, the real part of the conductivity is usually decomposed as the sum of a zero frequency delta peak and a finite frequency regular part. In studies with periodic boundary conditions, the Drude weight, i.e., the weight of the zero frequency delta peak, is found to be nonzero for integrable systems, even at very high temperatures, whereas it vanishes for generic (nonintegrable) systems. Paradoxically, for systems with open boundary conditions, it can be shown that the coefficient of the zero frequency delta peak is identically zero for any finite system, regardless of its integrability. In order for the Drude weight to be a thermodynamically meaningful quantity, both kinds of boundary conditions should produce the same answer in the thermodynamic limit. We shed light on these issues by using analytical and numerical methods.

Original languageEnglish (US)
Article number161101
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume77
Issue number16
DOIs
StatePublished - Apr 11 2008

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Boundary conditions
boundary conditions
Numerical methods
Thermodynamics
conductivity
thermodynamics
coefficients
Temperature

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

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Drude weight in systems with open boundary conditions. / Rigol, Marcos Antonio; Shastry, B. Sriram.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 77, No. 16, 161101, 11.04.2008.

Research output: Contribution to journalArticle

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