### Abstract

We have solved the negative-sign problem in a general frustrated double-spin-chain system, namely the J_{0}-J_{1}-J_{2}-J_{3} model. This is made possible by changing the representation basis from the conventional s^{z} basis to a dimer basis that has the spin-reversal symmetry. The necessary condition for the problem to disappear in this new basis is J_{0}+J_{1}≤J_{3}. Frustration is the origin only in the conventional s^{z} basis. We demonstrate the efficiency of this new basis at the transition point between the gapless spin-fluid phase and the gapped dimer phase.

Original language | English |
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Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 57 |

Issue number | 6 |

Publication status | Published - 1998 Feb 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

**Vanishing of the negative-sign problem of quantum Monte Carlo simulations in one-dimensional frustrated spin systems.** / Nakamura, Tota.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Vanishing of the negative-sign problem of quantum Monte Carlo simulations in one-dimensional frustrated spin systems

AU - Nakamura, Tota

PY - 1998/2/1

Y1 - 1998/2/1

N2 - We have solved the negative-sign problem in a general frustrated double-spin-chain system, namely the J0-J1-J2-J3 model. This is made possible by changing the representation basis from the conventional sz basis to a dimer basis that has the spin-reversal symmetry. The necessary condition for the problem to disappear in this new basis is J0+J1≤J3. Frustration is the origin only in the conventional sz basis. We demonstrate the efficiency of this new basis at the transition point between the gapless spin-fluid phase and the gapped dimer phase.

AB - We have solved the negative-sign problem in a general frustrated double-spin-chain system, namely the J0-J1-J2-J3 model. This is made possible by changing the representation basis from the conventional sz basis to a dimer basis that has the spin-reversal symmetry. The necessary condition for the problem to disappear in this new basis is J0+J1≤J3. Frustration is the origin only in the conventional sz basis. We demonstrate the efficiency of this new basis at the transition point between the gapless spin-fluid phase and the gapped dimer phase.

UR - http://www.scopus.com/inward/record.url?scp=0001491520&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001491520&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001491520

VL - 57

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 6

ER -