### Abstract

A one-dimensional fully frustrated quantum spin system called the Δ-chain is investigated, particularly with respect to the low-temperature structure of the specific heat, by quantum Monte Carlo simulations using the restructuring method. Sizes of the systems we considered are N=32, 48 and 64. The simulation results together with the diagonalization results for N=10 and 16 show that the size dependence of the data is very weak, and thus the second peak of the specific heat stably exists at T<0.1, which corresponds to less than half the spin gap. Locality of excitations is seen in the Monte Carlo snapshot. We consider that the low-temperature properties of this system are governed by the local elementary excitations which generate the Schottky-type specific heat peak in the background of the ordinary thermal specific heat.

Original language | English |
---|---|

Pages (from-to) | 695-698 |

Number of pages | 4 |

Journal | Journal of the Physical Society of Japan |

Volume | 64 |

Issue number | 3 |

Publication status | Published - 1995 Mar |

Externally published | Yes |

### Fingerprint

### Keywords

- Double peak of specific heat
- Frustrated quantum spin system
- Quantum Monte Carlo method

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*64*(3), 695-698.

**Thermodynamic property of the Δ-chain.** / Nakamura, Tota; Saika, Yohei.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 64, no. 3, pp. 695-698.

}

TY - JOUR

T1 - Thermodynamic property of the Δ-chain

AU - Nakamura, Tota

AU - Saika, Yohei

PY - 1995/3

Y1 - 1995/3

N2 - A one-dimensional fully frustrated quantum spin system called the Δ-chain is investigated, particularly with respect to the low-temperature structure of the specific heat, by quantum Monte Carlo simulations using the restructuring method. Sizes of the systems we considered are N=32, 48 and 64. The simulation results together with the diagonalization results for N=10 and 16 show that the size dependence of the data is very weak, and thus the second peak of the specific heat stably exists at T<0.1, which corresponds to less than half the spin gap. Locality of excitations is seen in the Monte Carlo snapshot. We consider that the low-temperature properties of this system are governed by the local elementary excitations which generate the Schottky-type specific heat peak in the background of the ordinary thermal specific heat.

AB - A one-dimensional fully frustrated quantum spin system called the Δ-chain is investigated, particularly with respect to the low-temperature structure of the specific heat, by quantum Monte Carlo simulations using the restructuring method. Sizes of the systems we considered are N=32, 48 and 64. The simulation results together with the diagonalization results for N=10 and 16 show that the size dependence of the data is very weak, and thus the second peak of the specific heat stably exists at T<0.1, which corresponds to less than half the spin gap. Locality of excitations is seen in the Monte Carlo snapshot. We consider that the low-temperature properties of this system are governed by the local elementary excitations which generate the Schottky-type specific heat peak in the background of the ordinary thermal specific heat.

KW - Double peak of specific heat

KW - Frustrated quantum spin system

KW - Quantum Monte Carlo method

UR - http://www.scopus.com/inward/record.url?scp=21844488892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844488892&partnerID=8YFLogxK

M3 - Article

VL - 64

SP - 695

EP - 698

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

ER -