Integrable chain models with staggered R-matrices (2006)
The technique of construction on Manhattan lattice (ML) the fermionic action for Integrable models is presented. The Sign-Factor of 3D Ising model (SF of 3DIM) and Chalker-Coddington-s...
Absence of extended states in a ladder model of DNA (2006)
Diaz, E., Sedrakyan, A., Sedrakyan, D., Dominguez-Adame, F.
We consider a ladder model of DNA for describing carrier transport in a fully coherent regime through finite segments. A single orbital is associated to each base, and both interstrand and...
Hofstadter Problem on the Honeycomb and Triangular Lattices: Bethe Ansatz Solution (2006)
We consider Bloch electrons on the honeycomb lattice under a uniform magnetic field with $2 \pi p/q$ flux per cell. It is shown that the problem factorizes to two triangular lattices. Treating...
Multi-leg integrable ladder models (2005)
Arnaudon, D., Sedrakyan, A., Sedrakyan, T.
We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The...
Integrable XYZ Model with Staggered Anisotropy Parameter (2005)
Arnaudon, D., Karakhanyan, D., Mirumyan, M., Sedrakyan, A., Sorba, P.
We apply to the XYZ model the technique of construction of integrable models with staggered parameters, presented recently for the XXZ case. The solution of modified Yang-Baxter equations is found...
Generalization of the U_q(gl(N)) algebra and staggered models (2005)
Arnaudon, D., Sedrakyan, A., Sedrakyan, T., Sorba, P.
We develop a technique of construction of integrable models with a Z_2 grading of both the auxiliary (chain) and quantum (time) spaces. These models have a staggered disposition of the anisotropy...
Integrable Chain Model with Additional Staggered Model Parameter (2005)
Arnaudon, D., Poghossian, R., Sedrakyan, A., Sorba, P.
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition along a chain of both,...
Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter (2005)
Ambjorn, J., Arnaudon, D., Sedrakyan, A., Sedrakyan, T., Sorba, P.
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented and an integrable model of t-J type with staggered disposition...
Simplified tetrahedron equations: Fermionic realization (2005)
Ambjorn, J., Khachatryan, Sh., Sedrakyan, A.
The natural generalization of the (two-dimensional) Yang-Baxter equations to three dimensions is known as the Zamolodchikov's tetrahedron equations. We consider a simplified version of these...
Perturbative test of single parameter scaling for 1D random media (2004)
Schrader, R., Schulz-Baldes, H., Sedrakyan, A.
Products of random matrices associated to one-dimensional random media satisfy a central limit theorem assuring convergence to a gaussian centered at the Lyapunov exponent. The hypothesis of single...
An Integrable Model with non-reducible three particle R-Matrix (2004)
Ambjorn, J., Khachatryan, Sh., Sedrakyan, A.
We define an integrable lattice model which, in the notation of Yang, in addition to the conventional 2-particle $R$-matrices also contains non-reducible 3-particle $R$-matrices. The corresponding...
On the theory of plateau-plateau transitions in Quantum Hall Effect (2003)
The Lagrangian (action) formulation of the Chalker-Coddington network model for plateau-plateau transitions in quantum Hall effect is presented based on a model of fermions hopping on Manhattan...
Multi-leg integrable ladder models (2002)
Arnaudon, D., Sedrakyan, A., Sedrakyan, T.
We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The...
Multi-leg integrable ladder models (2002)
Arnaudon, D., Sedrakyan, A., Sedrakyan, T.
We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The...
Multi-leg integrable ladder models (2002)
Arnaudon, D., Sedrakyan, A., Sedrakyan, T.
We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The...
Integrable chain models with staggered R-matrices (2001)
The technique of construction on Manhattan lattice (ML) the fermionic action for Integrable models is presented. The Sign-Factor of 3D Ising model (SF of 3DIM) and Chalker-Coddington-s...
Integrable XYZ Model with Staggered Anisotropy Parameter (2001)
Arnaudon, D., Karakhanyan, D., Mirumyan, M., Sedrakyan, A., Sorba, P.
We apply to the XYZ model the technique of construction of integrable models with staggered parameters, presented recently for the XXZ case. The solution of modified Yang-Baxter equations is found...
3D Ising Model on Dual BCC Lattice: the Sign-Factor (2001)
Ambjorn, J., Khachatryan, Sh., Sedrakyan, A.
The 3d Ising model on a regular cubic lattice can be expressed in terms of an SU(2) 2d fermionic model with a $Z_2$-fluxes. We modify the model such that it is defined on the dual to a body centered...
Generalization of the U_q(gl(N)) algebra and staggered models (2001)
Arnaudon, D., Sedrakyan, A., Sedrakyan, T., Sorba, P.
We develop a technique of construction of integrable models with a Z_2 grading of both the auxiliary (chain) and quantum (time) spaces. These models have a staggered disposition of the anisotropy...
Integrable XYZ Model with Staggered Anisotropy Parameter (2001)
Arnaudon, D., Karakhanyan, D., Mirumyan, M., Sedrakyan, A., Sorba, P.
We apply to the XYZ model the technique of construction of integrable models with staggered parameters, presented recently for the XXZ case. The solution of modified Yang-Baxter equations is found...
Generalization of the U_q(gl(N)) algebra and staggered models (2001)
Arnaudon, D., Sedrakyan, A., Sedrakyan, T., Sorba, P.
We develop a technique of construction of integrable models with a Z_2 grading of both the auxiliary (chain) and quantum (time) spaces. These models have a staggered disposition of the anisotropy...
Integrable XYZ Model with Staggered Anisotropy Parameter (2001)
Arnaudon, D., Karakhanyan, D., Mirumyan, M., Sedrakyan, A., Sorba, P.
We apply to the XYZ model the technique of construction of integrable models with staggered parameters, presented recently for the XXZ case. The solution of modified Yang-Baxter equations is found...
Generalization of the U_q(gl(N)) algebra and staggered models (2001)
Arnaudon, D., Sedrakyan, A., Sedrakyan, T., Sorba, P.
We develop a technique of construction of integrable models with a Z_2 grading of both the auxiliary (chain) and quantum (time) spaces. These models have a staggered disposition of the anisotropy...
Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter (2000)
Ambjorn, J., Arnaudon, D., Sedrakyan, A., Sedrakyan, T., Sorba, P.
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented and an integrable model of t-J type with staggered disposition...
Integrable Chain Model with Additional Staggered Model Parameter (2000)
Arnaudon, D., Poghossian, R., Sedrakyan, A., Sorba, P.
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition along a chain of both,...
Electron states in a one-dimensional random binary alloy (2000)
Dominguez-Adame, F., Gomez, I., Avakyan, A., Sedrakyan, D., Sedrakyan, A.
We present a model for alloys of compound semiconductors by introducing a one-dimensional binary random system where impurities are placed in one sublattice while host atoms lie on the other...
Integrable Chain Model with Additional Staggered Model Parameter (2000)
Arnaudon, D., Poghossian, R., Sedrakyan, A., Sorba, P.
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition along a chain of both,...
Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter (2000)
Ambjorn, J., Arnaudon, D., Sedrakyan, A., Sedrakyan, T., Sorba, P.
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented and an integrable model of t-J type with staggered disposition...
Integrable Chain Model with Additional Staggered Model Parameter (2000)
Arnaudon, D., Poghossian, R., Sedrakyan, A., Sorba, P.
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition along a chain of both,...
Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter (2000)
Ambjorn, J., Arnaudon, D., Sedrakyan, A., Sedrakyan, T., Sorba, P.
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented and an integrable model of t-J type with staggered disposition...
Delocalization of states in two component superlattices with correlated disorder (1999)
Hakobyan, T., Sedrakyan, D., Sedrakyan, A., Gomez, I., Dominguez-Adame, F.
Electron and phonon states in two different models of intentionally disordered superlattices are studied analytically as well as numerically. The localization length is calculated exactly and we...
Ambjorn, J., Karakhanyan, D., Mirumyan, M., Sedrakyan, A.
The spin-1 Uimin-Lai-Sutherland (ULS) isotropic chain model is expressed in terms of fermions and the equivalence of the fermionic representation to the supersymmetric t-J model is established...
Edge Excitations of an Incompressible Fermionic Liquid in a Disorder Magnetic Field (1998)
The model of lattice fermions in 2+1 dimensional space is formulated, the critical states of which are lying in the basis of such physical problems, as 3D Ising Model(3DIM) and the edge excitations...
Ambjorn, J., Avakyan, A., Hakobyan, T., Sedrakyan, A.
We have constructed a one dimensional exactly solvable model, which is based on the t-J model of strongly correlated electrons, but which has additional quantum group symmetry, ensuring the...
A New Family of Integrable Extended Multi-band Hubbard Hamiltonians (1997)
Ambjorn, J., Avakyan, A., Hakobyan, T., Sedrakyan, A.
We consider exactly solvable 1d multi-band fermionic Hamiltonians, which have affine quantum group symmetry for all values of the deformation. The simplest Hamiltonian is a multi-band t-J model with...
Family of Affine Quantum Group Invariant Integrable Extensions of Hubbard Hamiltonian (1996)
Avakyan, A., Hakobyan, T., Sedrakyan, A.
We construct the family of spin chain Hamiltonians, which have affine quantum group symmetry. Their eigenvalues coincide with the eigenvalues of the usual spin chain Hamiltonians, but have the...
The measure in three dimensional Nambu-Goto string theory (1996)
We show that the measure of the three dimensional Nambu-Goto string theory has a simple decomposition as a measure on two parameter group of induced area-preserving transformations of the immersed...
Spin Chain Hamiltonians with Affine $U_q g$ symmetry (1995)
We construct the family of spin chain Hamiltonians, which have affine $U_q g$ guantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have...
On the universal $R$-matrix of $U_q\hat{sl}_2$ at roots of unity (1995)
We show that the action of universal $R$-matrix of affine $U_qsl_2$ quantum algebra, when $q$ is a root of unity, can be renormalized by some scalar factor to give a well defined nonsingular...
The 3d Ising Model represented as Random Surfaces (1992)
Ambjorn, J., Sedrakyan, A, Thorleifsson, G.
We consider a random surface representation of the three-dimensional Ising model.The model exhibit scaling behaviour and a new critical index $\k$ which relates $\g_{string}$ for the bosonic string...
3D-Ising Model as a String Theory in Three Dimentional Euclidean Space (1992)
A three dimensional string model is analyzed in the strong coupling regime. The contribution of surfaces with different topology to the partition function is essential. A set of corresponding models...
Sedrakyan, A., Van Der Meulen, J., Lewsey, J., Treasure, T.
Objectives To determine if video assisted thoracic surgery is associated with better clinical outcomes than thoracotomy for three common procedures: surgery for pneumothorax, minor resections, and...
Variation in use of video assisted thoracic surgery in the United Kingdom
Sedrakyan, A., Van Der Meulen, J., Lewsey, J., Treasure, T.
Video assisted thoracic surgery (VATS) is a minimally invasive technique for the diagnosis and treatment of lung and pleural disease. Thoracotomy is replaced by up to three small incisions from 0.5...
Sedrakyan, A., Van Der Meulen, J., Lewsey, J., Treasure, T.
Objectives To determine if video assisted thoracic surgery is associated with better clinical outcomes than thoracotomy for three common procedures: surgery for pneumothorax, minor resections, and...
Variation in use of video assisted thoracic surgery in the United Kingdom
Sedrakyan, A., Van Der Meulen, J., Lewsey, J., Treasure, T.
Video assisted thoracic surgery (VATS) is a minimally invasive technique for the diagnosis and treatment of lung and pleural disease. Thoracotomy is replaced by up to three small incisions from 0.5...