Edge modes, zero modes and conserved charges in parafermion
... The “superintegrable” line q=f=p/6 is very special. It is halfway between ferro and antiferromagnet, and so the spectrum is invariant under Here the “zero” mode occurs for any value of f and J. Along the superintegrable line the model a direct way of finding the infinite number of conserved charges ...
... The “superintegrable” line q=f=p/6 is very special. It is halfway between ferro and antiferromagnet, and so the spectrum is invariant under Here the “zero” mode occurs for any value of f and J. Along the superintegrable line the model a direct way of finding the infinite number of conserved charges ...
Exact diagonalization of quantum spin models
... In addition to sparseness, there is another aspect that can be exploited to make the calculation more tractable. Typically one is interested in the ground state and in a few low-lying excited states, not in the entire spectrum. Calculating just a few eigenstates, however, is just marginally cheaper ...
... In addition to sparseness, there is another aspect that can be exploited to make the calculation more tractable. Typically one is interested in the ground state and in a few low-lying excited states, not in the entire spectrum. Calculating just a few eigenstates, however, is just marginally cheaper ...
Lecture 3 Teaching notes
... particle is added. μ depends on temperature, but it is determined in the same way as any normalization constant, as we will see shortly. Now we have fFD(E) = 1/ {[exp(E-μ)/kT] +1]}. μ is determined from the equation N = ∫0∞ dE ge(E) f(E,T,μ), so it again depends on temperature and total number of pa ...
... particle is added. μ depends on temperature, but it is determined in the same way as any normalization constant, as we will see shortly. Now we have fFD(E) = 1/ {[exp(E-μ)/kT] +1]}. μ is determined from the equation N = ∫0∞ dE ge(E) f(E,T,μ), so it again depends on temperature and total number of pa ...
Euclidean Field Theory - Department of Mathematical Sciences
... of that relation is a proper definition of the path integral measure. The infinitedimensional integral is only well-defined if we regularise the model somehow, for instance by putting it on a lattice (which, in the quantum-mechanical model, means discretising time). As a result, all the systems that ...
... of that relation is a proper definition of the path integral measure. The infinitedimensional integral is only well-defined if we regularise the model somehow, for instance by putting it on a lattice (which, in the quantum-mechanical model, means discretising time). As a result, all the systems that ...
Slide1
... Spin is like angular momentum Recall m can have (2l+1) values between –l and l. For spin, since only 2 ...
... Spin is like angular momentum Recall m can have (2l+1) values between –l and l. For spin, since only 2 ...
Report - Information Services and Technology
... microscopic description of ferromagnetism. It merely explains the ferromagnetic phase transition from the paramagnetic phase at high temperatures to the ferromagnetic phase below the curie temperature Tc. The techniques and methods that have been formulated for this model were generalized and adapte ...
... microscopic description of ferromagnetism. It merely explains the ferromagnetic phase transition from the paramagnetic phase at high temperatures to the ferromagnetic phase below the curie temperature Tc. The techniques and methods that have been formulated for this model were generalized and adapte ...
Dr.Eman Zakaria Hegazy Quantum Mechanics and Statistical
... U U 0 n 0 (0) n1 (1 0 ) n 2 ( 2 0 ) ..... - The equation of partition function for the particle at i=0 ...
... U U 0 n 0 (0) n1 (1 0 ) n 2 ( 2 0 ) ..... - The equation of partition function for the particle at i=0 ...
HOMEWORK 02 SOLUTION 1. Two events A and B are independent
... P (A ∩ B) = P (A)P (B) 0.11 6= 0.30 · 0.15 So the two events are not independent. 2. Use the binomial probability formula: ...
... P (A ∩ B) = P (A)P (B) 0.11 6= 0.30 · 0.15 So the two events are not independent. 2. Use the binomial probability formula: ...
Single crystal growth of Heisenberg spin ladder and spin chain
... Low dimensional magnets have attracted great attention because of their simplicity in theoretical models, novel quantum phenomena and relation to high temperature superconductivity. Among them, quasi-1D systems such as spin ladders and spin chains have found their realization in several materials, e ...
... Low dimensional magnets have attracted great attention because of their simplicity in theoretical models, novel quantum phenomena and relation to high temperature superconductivity. Among them, quasi-1D systems such as spin ladders and spin chains have found their realization in several materials, e ...
Adiabatic.Quantum.Slow.Altshuler
... E 1 N How big is the interval in , where perturbation theory is valid ...
... E 1 N How big is the interval in , where perturbation theory is valid ...
XYZ quantum Heisenberg models with p
... can be realized with bosonic atoms loaded in the p-band of an optical lattice in the Mott regime. The combination of Bose statistics and the symmetry of the p-orbital wave functions leads to a non-integrable Heisenberg model with anti-ferromagnetic couplings. Moreover, the sign and the relative stre ...
... can be realized with bosonic atoms loaded in the p-band of an optical lattice in the Mott regime. The combination of Bose statistics and the symmetry of the p-orbital wave functions leads to a non-integrable Heisenberg model with anti-ferromagnetic couplings. Moreover, the sign and the relative stre ...
Krishnendu-Sengupta
... Reproduction of the phase diagram with remarkable accuracy in d=3: much better than standard mean-field or strong coupling expansion (of the same order) in d=2 and 3. Allows for straightforward generalization for treatment of dynamics ...
... Reproduction of the phase diagram with remarkable accuracy in d=3: much better than standard mean-field or strong coupling expansion (of the same order) in d=2 and 3. Allows for straightforward generalization for treatment of dynamics ...
The total free energy of a magnetic substance
... For constant T and j, irreversible processes occur until is minimized. In equilibrium is a minimum with respect to changes in state occurring at constant T and j. ...
... For constant T and j, irreversible processes occur until is minimized. In equilibrium is a minimum with respect to changes in state occurring at constant T and j. ...
TT 35: Low-Dimensional Systems: 2D - Theory - DPG
... and hole densities and therefore doping away from half-filling. Our numerical results show that below a finite-temperature Ising transition a charge density wave with one electron and two holes per unit cell and its partner under particle-hole transformation are spontaneously generated. Our calculat ...
... and hole densities and therefore doping away from half-filling. Our numerical results show that below a finite-temperature Ising transition a charge density wave with one electron and two holes per unit cell and its partner under particle-hole transformation are spontaneously generated. Our calculat ...
Optical Response in Infinite Dimensions
... When Hubbard Model is Relevant? • Long ragne part of the interaction is ignored ) Screening must be strong ...
... When Hubbard Model is Relevant? • Long ragne part of the interaction is ignored ) Screening must be strong ...
1D Ising model
... The term ln C is thought of as multiplied by a unit matrix; H itself is a two by two matrix and τ̄ is a number. Also keep in mind that τ̄ is some arbitrary interval of imaginary time, while τ1 is a completely different thing, a matrix. We find a remarkable correspondence: the 1D Ising model is equiv ...
... The term ln C is thought of as multiplied by a unit matrix; H itself is a two by two matrix and τ̄ is a number. Also keep in mind that τ̄ is some arbitrary interval of imaginary time, while τ1 is a completely different thing, a matrix. We find a remarkable correspondence: the 1D Ising model is equiv ...