Mean-field theory for heisenberg zigzag ladder: Ground state energy and spontaneous symmetry breaking

Vagharsh V. Mkhitaryan; Tigran A. Sedrakyan

doi:10.1007/s00023-006-0294-4

Mean-field theory for heisenberg zigzag ladder: Ground state energy and spontaneous symmetry breaking

Vagharsh V. Mkhitaryan
, Tigran A. Sedrakyan

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The spin-1/2 zig-zag Heisenberg ladder (J ₁ - J ₂ model) is considered. A new representation for the model is found and a saddle point approximation over the spin-liquid order parameter <σ→ _N × σ→_N{n + 1)> is performed. Corresponding effective action is derived and analytically analyzed. We observe the presence of phase transitions at values J ₂/J ₁ = 0.230971 and J ₂/J ₁ = 1/2. Communicated by Vincent Rivasseau.

Original language	English (US)
Pages (from-to)	1579-1590
Number of pages	12
Journal	Annales Henri Poincare
Volume	7
Issue number	7-8
DOIs	https://doi.org/10.1007/s00023-006-0294-4
State	Published - Dec 2006
Externally published	Yes

Bibliographical note

Funding Information:
The authors are indebted to A.G. Sedrakyan for support and illuminating discussions. V. M. acknowledges INTAS grants 03-51-5460, YSF 05-109-5041, and Volkswagen Foundation of Germany for financial support.

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10.1007/s00023-006-0294-4

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@article{f283e0b943d24f238aa1c390a0341104,

title = "Mean-field theory for heisenberg zigzag ladder: Ground state energy and spontaneous symmetry breaking",

abstract = "The spin-1/2 zig-zag Heisenberg ladder (J 1 - J 2 model) is considered. A new representation for the model is found and a saddle point approximation over the spin-liquid order parameter <σ→ N {\texttimes} σ→N\{n + 1)> is performed. Corresponding effective action is derived and analytically analyzed. We observe the presence of phase transitions at values J 2/J 1 = 0.230971 and J 2/J 1 = 1/2. Communicated by Vincent Rivasseau.",

author = "Mkhitaryan, \{Vagharsh V.\} and Sedrakyan, \{Tigran A.\}",

note = "Funding Information: The authors are indebted to A.G. Sedrakyan for support and illuminating discussions. V. M. acknowledges INTAS grants 03-51-5460, YSF 05-109-5041, and Volkswagen Foundation of Germany for financial support.",

year = "2006",

month = dec,

doi = "10.1007/s00023-006-0294-4",

language = "English (US)",

volume = "7",

pages = "1579--1590",

journal = "Annales Henri Poincare",

issn = "1424-0637",

publisher = "Birkhauser",

number = "7-8",

}

TY - JOUR

T1 - Mean-field theory for heisenberg zigzag ladder

T2 - Ground state energy and spontaneous symmetry breaking

AU - Mkhitaryan, Vagharsh V.

AU - Sedrakyan, Tigran A.

N1 - Funding Information: The authors are indebted to A.G. Sedrakyan for support and illuminating discussions. V. M. acknowledges INTAS grants 03-51-5460, YSF 05-109-5041, and Volkswagen Foundation of Germany for financial support.

PY - 2006/12

Y1 - 2006/12

N2 - The spin-1/2 zig-zag Heisenberg ladder (J 1 - J 2 model) is considered. A new representation for the model is found and a saddle point approximation over the spin-liquid order parameter <σ→ N × σ→N{n + 1)> is performed. Corresponding effective action is derived and analytically analyzed. We observe the presence of phase transitions at values J 2/J 1 = 0.230971 and J 2/J 1 = 1/2. Communicated by Vincent Rivasseau.

AB - The spin-1/2 zig-zag Heisenberg ladder (J 1 - J 2 model) is considered. A new representation for the model is found and a saddle point approximation over the spin-liquid order parameter <σ→ N × σ→N{n + 1)> is performed. Corresponding effective action is derived and analytically analyzed. We observe the presence of phase transitions at values J 2/J 1 = 0.230971 and J 2/J 1 = 1/2. Communicated by Vincent Rivasseau.

UR - https://www.scopus.com/pages/publications/33846882165

UR - https://www.scopus.com/pages/publications/33846882165#tab=citedBy

U2 - 10.1007/s00023-006-0294-4

DO - 10.1007/s00023-006-0294-4

M3 - Article

AN - SCOPUS:33846882165

SN - 1424-0637

VL - 7

SP - 1579

EP - 1590

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 7-8

ER -

Mean-field theory for heisenberg zigzag ladder: Ground state energy and spontaneous symmetry breaking

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