The wavefunctions for the free-fermion part of the spectrum of the SU q(N) quantum spin models

Journal of Physics A: Mathematical and General

Volumn 36, Issue 10, 2003, Pages 2381-2397

  Alcaraz, F C ^a   Stroganov, Yu G ^a,b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b INSTITUTE FOR HIGH ENERGY PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037436727     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/10/301     Document Type: Article

References (30)

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6. Alcaraz F C, Barber M N and Batchelor M T 1988 Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems Ann. Phys., NY 182 280-343 Alcaraz F C, Barber M N, Batchelor M T, Baxter R J and Quispel G R W 1987 Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models J. Phys. A: Math. Gen. 20 6397-409
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8. Fridkin V, Stroganov Yu G and Zagier D 2000 Ground state of the quantum symmetric XXZ spin chain with anisotropy parameter Δ = 1/2 J. Phys. A: Math. Gen. 33 L121-5 Fridkin V, Stroganov Yu G and Zagier D 2001 Finite size XXZ spin chain with anisotropy parameter Δ = 1/2 J. Stat. Phys. 102 781-94 (Preprint nlin.SI/0010021) Stroganov Yu G 2001 The importance of being odd J. Phys. A: Math. Gen. 34 L179-85 (Preprint cond-mat/0012035)
9. Fridkin V, Stroganov Yu G and Zagier D 2000 Ground state of the quantum symmetric XXZ spin chain with anisotropy parameter Δ = 1/2 J. Phys. A: Math. Gen. 33 L121-5 Fridkin V, Stroganov Yu G and Zagier D 2001 Finite size XXZ spin chain with anisotropy parameter Δ = 1/2 J. Stat. Phys. 102 781-94 (Preprint nlin.SI/0010021) Stroganov Yu G 2001 The importance of being odd J. Phys. A: Math. Gen. 34 L179-85 (Preprint cond-mat/0012035)
10. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
11. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
12. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
13. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
14. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
15. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
16. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
17. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
18. Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Preprint cond-mat/0012141) Batchelor M T, de Gier J and Nienhuis B 2001 The quantum symmetric XXZ spin chain at Δ = -1/2, alternating sign matrices and plain partitions J. Phys. A: Math. Gen. 34 L265-70 (Preprint cond-mat/0101385) Razumov A V and Stroganov Yu G 2001 Spin chain and combinatorics, twisted boundary condition J. Phys. A: Math. Gen. 34 5335-40 (Preprint cond-mat/0102247) Razumov A V and Stroganov Yu G 2001 Combinatorial nature of ground state vector of O(1) loop model Preprint math-Co/0104216 Pearce P A, Rittenberg V and de Gier J 2001 Critical Q= 1 Potts model and Temperly-Lieb stochastic processes Preprint cond-mat/0108051 Razumov A V and Stroganov Yu G 2001 0(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices Preprint cond-mat/0108103 de Gier J, Batchelor M T, Nienhuis B and Mitra S 2001 The XXZ spin chain at Δ = -1/2: Bethe roots, symmetric functions and determinants Preprint math-ph/0110011 Stroganov Yu G 2001 XXZ spin chain with the asymmetry parameter Δ = -1/2: evaluation of the simplest correlators Teor. Math. Phys. 129 1596-608 Kitanine N, Maillet J M, Slavnov N A and Terras V 2002 Emptiness formation probability of the XXZ spin 1/2 Heisenberg chain at Δ = 1/27. Phys. A:Math. Gen. 35 L385-91 (Preprint hep-th/0201134) Batchelor M T, de Gier J and Nienhuis B 2002 The rotor model and combinatorics Int. J. Mod. Phys. B 16 1883-90 (Preprint math-ph/0204002) de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2002 A new universality class for dynamic processes Preprint cond-mat/0205467
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