### 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 language | English (US) |
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Article number | 161101 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 77 |

Issue number | 16 |

DOIs | |

State | Published - Apr 11 2008 |

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### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*77*(16), [161101]. https://doi.org/10.1103/PhysRevB.77.161101

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*Physical Review B - Condensed Matter and Materials Physics*, vol. 77, no. 16, 161101. https://doi.org/10.1103/PhysRevB.77.161101

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Drude weight in systems with open boundary conditions

AU - Rigol, Marcos Antonio

AU - Shastry, B. Sriram

PY - 2008/4/11

Y1 - 2008/4/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=42049122636&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42049122636&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.77.161101

DO - 10.1103/PhysRevB.77.161101

M3 - Article

AN - SCOPUS:42049122636

VL - 77

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 16

M1 - 161101

ER -