Low-energy singlet sector in spin-1/2 J_1--J_2 Heisenberg model on square lattice release_7qw6gxj3inghrfz6up42w7opt4

by A. Yu. Aktersky, A. V. Syromyatnikov

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abstracts[] {'sha1': '636ebd861aefb54929874c0f90a97556f345623d', 'content': "Based on a special variant of plaquette expansion, an operator is constructed\nwhose eigenvalues give the low-energy singlet spectrum of spin-$\\frac12$\nHeisenberg antiferromagnet on square lattice with nearest- and frustrating\nnext-nearest-neighbor exchange couplings $J_1$ and $J_2$. It is well known that\na non-magnetic phase arises in this model at $0.4\\lesssim J_2/J_1\\lesssim 0.6$\nsandwiched by two N\\'eel ordered phases. In agreement with previous results, we\nobserve a first-order quantum phase transition (QPT) at $J_2\\approx 0.64J_1$\nfrom the non-magnetic phase to the N\\'eel one. Large gap ($\\gtrsim0.4J_1$) is\nfound in the singlet spectrum at $J_2<0.64J_1$ that excludes a gapless\nspin-liquid state at $0.4\\lesssim J_2/J_1\\lesssim 0.6$ and the deconfined\nquantum criticality scenario for the QPT to another N\\'eel phase. We observe a\nfirst-order QPT at $J_2\\approx 0.55J_1$ presumably between two non-magnetic\nphases.", 'mimetype': 'text/plain', 'lang': 'en'}
{'sha1': '636ebd861aefb54929874c0f90a97556f345623d', 'content': "Based on a special variant of plaquette expansion, an operator is constructed\nwhose eigenvalues give the low-energy singlet spectrum of spin-$\\frac12$\nHeisenberg antiferromagnet on square lattice with nearest- and frustrating\nnext-nearest-neighbor exchange couplings $J_1$ and $J_2$. It is well known that\na non-magnetic phase arises in this model at $0.4\\lesssim J_2/J_1\\lesssim 0.6$\nsandwiched by two N\\'eel ordered phases. In agreement with previous results, we\nobserve a first-order quantum phase transition (QPT) at $J_2\\approx 0.64J_1$\nfrom the non-magnetic phase to the N\\'eel one. Large gap ($\\gtrsim0.4J_1$) is\nfound in the singlet spectrum at $J_2<0.64J_1$ that excludes a gapless\nspin-liquid state at $0.4\\lesssim J_2/J_1\\lesssim 0.6$ and the deconfined\nquantum criticality scenario for the QPT to another N\\'eel phase. We observe a\nfirst-order QPT at $J_2\\approx 0.55J_1$ presumably between two non-magnetic\nphases.", 'mimetype': 'application/x-latex', 'lang': 'en'}
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{'index': 1, 'creator_id': None, 'creator': None, 'raw_name': 'A. V. Syromyatnikov', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
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language en
license_slug ARXIV-1.0
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release_date 2016-05-17
release_stage submitted
release_type article
release_year 2016
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title Low-energy singlet sector in spin-1/2 J_1--J_2 Heisenberg model on square lattice
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arxiv.base_id 1605.05152
arxiv.categories ['cond-mat.str-el']
arxiv.journal_ref J. Exp. Theor. Phys. (2016) 123: 1035