The integer quantum Hall effect and Anderson localisation
... σxy , as a function of ν has the form of a staircase, consisting of broad plateaus at integer multiples of e2 /h (with e the electron charge and h Planck’s constant), separated by narrow risers. The dissipative conductivity, σxx , is very small at electron densities for which the Hall conductivity i ...
... σxy , as a function of ν has the form of a staircase, consisting of broad plateaus at integer multiples of e2 /h (with e the electron charge and h Planck’s constant), separated by narrow risers. The dissipative conductivity, σxx , is very small at electron densities for which the Hall conductivity i ...
Cooperation of different exchange mechanisms in confined
... rived perturbatively in powers of t/J. If J is antiferromagnetic, RKKY exchange typically competes with the emergence of the Kondo effect [14] which is responsible for the individual screening of impurity spins by the conduction electrons. The Kondo temperature TK is the corresponding energy scale o ...
... rived perturbatively in powers of t/J. If J is antiferromagnetic, RKKY exchange typically competes with the emergence of the Kondo effect [14] which is responsible for the individual screening of impurity spins by the conduction electrons. The Kondo temperature TK is the corresponding energy scale o ...
Diffusion Quantum Monte Carlo
... • 4. compute V= [V(x)-Vref] and a random number r in the interval [0,1] • if V>0 and r < V , then remove the walker • if V<0 and r < -V , then add a walker at x • 5. Repeat 3. and 4. for all N0 walkers ...
... • 4. compute V= [V(x)-Vref] and a random number r in the interval [0,1] • if V>0 and r < V , then remove the walker • if V<0 and r < -V , then add a walker at x • 5. Repeat 3. and 4. for all N0 walkers ...
This course is: • Fun!
... •How can a neutral atom interact with a magnetic field? •Let’s derive it classically from intro-course principles •What does a simple magnetic dipole look like? •What does the energy look like? •What will the force be and why does the B need to be inhomogeneous? •How do we relate this to angular mom ...
... •How can a neutral atom interact with a magnetic field? •Let’s derive it classically from intro-course principles •What does a simple magnetic dipole look like? •What does the energy look like? •What will the force be and why does the B need to be inhomogeneous? •How do we relate this to angular mom ...
Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective
... was studied. AKP considered a power law interaction between any two qubits at positions x1 and x2 of the computer with strength jx1 x2 j2 . Clearly, one could start from their noise model and use a HubbardStratonovich transformation to arrive at ours. The reverse is also true: Starting from our ...
... was studied. AKP considered a power law interaction between any two qubits at positions x1 and x2 of the computer with strength jx1 x2 j2 . Clearly, one could start from their noise model and use a HubbardStratonovich transformation to arrive at ours. The reverse is also true: Starting from our ...
Fractionalization in an easy-axis Kagome antiferromagnet
... terms.14 The importance of multispin ring exchange processes in driving 2D fractionalization is also apparent within the Z 2 gauge theory formulation.10 In an important recent development, Moessner and Sondhi15 have compellingly argued that a particular quantum dimer model on the triangular lattice ...
... terms.14 The importance of multispin ring exchange processes in driving 2D fractionalization is also apparent within the Z 2 gauge theory formulation.10 In an important recent development, Moessner and Sondhi15 have compellingly argued that a particular quantum dimer model on the triangular lattice ...
XXZ Dao-Xin Yao, Y. L. Loh, and E. W. Carlson Michael Ma
... which correspond to small trimers and large trimers, respectively. Each spin has four nearest neighbors. The unit cell contains a total of nine spins 共six on the a sublattice and three on the b sublattice兲. The space group of the TKL is the same as that of the hexagonal lattice, p6m, in Hermann– Mau ...
... which correspond to small trimers and large trimers, respectively. Each spin has four nearest neighbors. The unit cell contains a total of nine spins 共six on the a sublattice and three on the b sublattice兲. The space group of the TKL is the same as that of the hexagonal lattice, p6m, in Hermann– Mau ...
Topological Coherence and Decoherence
... subject to quite severe perturbations. A model of central interest is the ‘dissipative W.A.H. model’ (named after Wannier, Az’bel, & Hofstadter’). This is produced by synthesizing elements from 2 simpler models which are very interesting on their own: the W.A.H. model (non-interacting charged partic ...
... subject to quite severe perturbations. A model of central interest is the ‘dissipative W.A.H. model’ (named after Wannier, Az’bel, & Hofstadter’). This is produced by synthesizing elements from 2 simpler models which are very interesting on their own: the W.A.H. model (non-interacting charged partic ...
Section 9: Forces, Potentials, and the Shell Model , and
... The splitting of states into two j states and the increasing gap between the two j states causes the highest angular momentum state for a given to be pushed down into the level below it. For example, as shown in fig.9.4, the ten nucleons in the 1g9/2 level are now similar in energy to the 2p an ...
... The splitting of states into two j states and the increasing gap between the two j states causes the highest angular momentum state for a given to be pushed down into the level below it. For example, as shown in fig.9.4, the ten nucleons in the 1g9/2 level are now similar in energy to the 2p an ...
Ketterle_presentation
... Towards quantum magnetism • Characterization of new quantum phases density fluctuations to determine compressibility, spin susceptibility and temperature ...
... Towards quantum magnetism • Characterization of new quantum phases density fluctuations to determine compressibility, spin susceptibility and temperature ...
Magnetic phase diagram of the Hubbard model in three dimensions
... versus U at half-filling for the first- and second-order approximations as well as the result of a QMC simulation.10 We see that in the case of the second-order approximation, T c has negative curvature for U/t around 10 similar to the QMC result ~although the former is not a valid approximation for ...
... versus U at half-filling for the first- and second-order approximations as well as the result of a QMC simulation.10 We see that in the case of the second-order approximation, T c has negative curvature for U/t around 10 similar to the QMC result ~although the former is not a valid approximation for ...
Quantum steady states and phase transitions in the presence of non
... The variational parameter fV(t) is determined self consistently by requiring a vanishing response of to any variation of fV (t). We show that this approach is equivalent to Dirac-Frenkel (using a variational Hamiltonian instead that a variational wavefunction) We successfully use it to compute the n ...
... The variational parameter fV(t) is determined self consistently by requiring a vanishing response of to any variation of fV (t). We show that this approach is equivalent to Dirac-Frenkel (using a variational Hamiltonian instead that a variational wavefunction) We successfully use it to compute the n ...
s 1
... o Exchange energy is sometimes written in the form E exchange 2J Sˆ1 Sˆ 2 which shows explicitly that the change of energy is related to the relative alignment of the electron spins. If aligned = > energy goes up. ...
... o Exchange energy is sometimes written in the form E exchange 2J Sˆ1 Sˆ 2 which shows explicitly that the change of energy is related to the relative alignment of the electron spins. If aligned = > energy goes up. ...
non equilibrium dynamics of quantum ising chains in the presence
... Experimental studies in this field in solid state systems can be challenging due to the macroscopic number of degrees of freedom, disorder, unknown interactions, and limitations on which system parameters can be varied [11]. An experimental setting in which system parameters can be controlled very w ...
... Experimental studies in this field in solid state systems can be challenging due to the macroscopic number of degrees of freedom, disorder, unknown interactions, and limitations on which system parameters can be varied [11]. An experimental setting in which system parameters can be controlled very w ...
Slide 1
... In Cs2CuCl4 strong scattering continuum is expected because: • low (S=1/2) spin and the frustration lead to a small ordered moment and strong quantum fluctuations • the magnon interaction in non-collinear spin structures induces coupling between transverse and longitudinal spin fluctuations additi ...
... In Cs2CuCl4 strong scattering continuum is expected because: • low (S=1/2) spin and the frustration lead to a small ordered moment and strong quantum fluctuations • the magnon interaction in non-collinear spin structures induces coupling between transverse and longitudinal spin fluctuations additi ...
Homework 2 - UCSB Physics
... – that is the symmetries are those of a cube with corners at (±1, ±1, ±1) and the atomic nucleus at its center. Apart from a trivial constant, there should be only one free parameter not fixed by symmetry. ~ were a classical (axial) vector, rather than an operator. It transforms Let us first imagine ...
... – that is the symmetries are those of a cube with corners at (±1, ±1, ±1) and the atomic nucleus at its center. Apart from a trivial constant, there should be only one free parameter not fixed by symmetry. ~ were a classical (axial) vector, rather than an operator. It transforms Let us first imagine ...
11. Ultralow Temperature Studies of Electronic Layers
... Si(100) surface. The tungsten wires are more uniform than those fabricated previously of Al, presumably because of the smaller grain size. During the past year we have focused attention on the regime of gate voltage VG well above threshold, in which the fluctuations of conductance with VG are much s ...
... Si(100) surface. The tungsten wires are more uniform than those fabricated previously of Al, presumably because of the smaller grain size. During the past year we have focused attention on the regime of gate voltage VG well above threshold, in which the fluctuations of conductance with VG are much s ...
Introduction to Molecular Magnetism
... huge. • Exact diagonalisation is still possible for systems like Fe8, when grouping together the states with the same total spin, and using irreducible tensor methods. ...
... huge. • Exact diagonalisation is still possible for systems like Fe8, when grouping together the states with the same total spin, and using irreducible tensor methods. ...
Mathematical structure of magnons in quantum
... convinced that results can also be derived for antiferromagnets along the lines of what we have here if one is able to pin the suitable conditions on the interaction constants in order to get a specific antiferromagnetism. One may also ask the question whether analogous results are to be expected in ...
... convinced that results can also be derived for antiferromagnets along the lines of what we have here if one is able to pin the suitable conditions on the interaction constants in order to get a specific antiferromagnetism. One may also ask the question whether analogous results are to be expected in ...
FERMIONIC LADDERS IN MAGNETIC FIELD
... arbitrary values of the external field, inter-chain hopping and interaction strength at half filling the model exhibits several ordered phases as well as phases without long-range order we have found field-induced (sometimes re-entrant) quantum phase transitions between phases with different types o ...
... arbitrary values of the external field, inter-chain hopping and interaction strength at half filling the model exhibits several ordered phases as well as phases without long-range order we have found field-induced (sometimes re-entrant) quantum phase transitions between phases with different types o ...
Applications of Quantum Field Theory in Condensed Matter
... efforts to produce a quantum field theory based grand unified model for the weak, strong and electromagnetic interactions, failed. This was the starting point for the attempts to use new methods such as string theory in high-energy physics. Coincidentally, three paradigms of condensed matter physics ...
... efforts to produce a quantum field theory based grand unified model for the weak, strong and electromagnetic interactions, failed. This was the starting point for the attempts to use new methods such as string theory in high-energy physics. Coincidentally, three paradigms of condensed matter physics ...