Compass models: Theory and physical motivations
... We start by introducing and defining, in Sec. II, various compass models. Next, in Sec. III, we discuss viable extensions of more typical compass models including, e.g., ring exchange and extensions to general spatial dimensions. While the most common representation of compass models is that on a la ...
... We start by introducing and defining, in Sec. II, various compass models. Next, in Sec. III, we discuss viable extensions of more typical compass models including, e.g., ring exchange and extensions to general spatial dimensions. While the most common representation of compass models is that on a la ...
Dirac and Majorana edge states in graphene and topological
... are well described by the Dirac equation, as opposed to the Schrödinger equation suitable for most other condensed matter systems. This is in no respect accidental and is tightly related to the symmetry properties of the two systems. In graphene the symmetry ensuring the presence of the edge states ...
... are well described by the Dirac equation, as opposed to the Schrödinger equation suitable for most other condensed matter systems. This is in no respect accidental and is tightly related to the symmetry properties of the two systems. In graphene the symmetry ensuring the presence of the edge states ...
On the Classical and Quantum Momentum Map
... a geometrization of Poisson’s studies of classical mechanics [46]. During the past 40 years, Poisson geometry has become an interesting and active field of research, motivated by connections with many research fields as mechanics of particles and continua (Arnold [1], Lichnerowicz [31], Marsden–Wein ...
... a geometrization of Poisson’s studies of classical mechanics [46]. During the past 40 years, Poisson geometry has become an interesting and active field of research, motivated by connections with many research fields as mechanics of particles and continua (Arnold [1], Lichnerowicz [31], Marsden–Wein ...
Quantum Orders and Symmetric Spin Liquids
... help to guess that FQH liquids should have some internal orders or “patterns”. Different magical filling factors should be due to those different internal “patterns”. However, the hypothesis of internal “patterns” appears to have one difficulty – FQH states are liquids, and how can liquids have any ...
... help to guess that FQH liquids should have some internal orders or “patterns”. Different magical filling factors should be due to those different internal “patterns”. However, the hypothesis of internal “patterns” appears to have one difficulty – FQH states are liquids, and how can liquids have any ...
An Unshunted Comparator as a Device for Quantum Measurements
... During the double-pulse the phase over the comparator increases by 4π. This implies that an anti-pulse is created in the input line and this anti-pulse will then propagate away from the comparator back into the input line. This suggests a new SFQ comparator design where the detection or non-detectio ...
... During the double-pulse the phase over the comparator increases by 4π. This implies that an anti-pulse is created in the input line and this anti-pulse will then propagate away from the comparator back into the input line. This suggests a new SFQ comparator design where the detection or non-detectio ...
Relativistic effects in atomic and molecular properties
... Until the seventies of the 20th century it was generally accepted that for a description of the electronic structure of atoms and molecules and, therefore, for the whole chemistry and for the substantial part of physics, relativistic theory is not needed. According to Sheldon L. Glashow [1], Nobel P ...
... Until the seventies of the 20th century it was generally accepted that for a description of the electronic structure of atoms and molecules and, therefore, for the whole chemistry and for the substantial part of physics, relativistic theory is not needed. According to Sheldon L. Glashow [1], Nobel P ...
Reports - the Max Planck Institute for the Physics of Complex Systems
... 3.1.4 Local Hamiltonian approach to excited-state wave functions in solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.5 Quantum chemical Green’s function approach to correlation in solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.6 Hamiltonian c ...
... 3.1.4 Local Hamiltonian approach to excited-state wave functions in solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.5 Quantum chemical Green’s function approach to correlation in solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.6 Hamiltonian c ...
TrajectoryBased Nonadiabatic Dynamics with TimeDependent
... and Y(r,R,t) is the total wavefunction of the nuclear (labeled with g and z) and electronic (labeled with i and j) degrees of freedom. In the following, atomic units will be used except for the reduced Planck constant h, which will be kept for clarity. In this first section, we will derive the equa ...
... and Y(r,R,t) is the total wavefunction of the nuclear (labeled with g and z) and electronic (labeled with i and j) degrees of freedom. In the following, atomic units will be used except for the reduced Planck constant h, which will be kept for clarity. In this first section, we will derive the equa ...
COMPUTER-AIDED-DESIGN METHODS FOR EMERGING
... class projects must be submitted in the form of conference papers. This required me to write six practice conference papers during his classes, an experience that turns out to be invaluable for the success of my research. Prof. Thornton inspired me to publish quality work extensively with great care ...
... class projects must be submitted in the form of conference papers. This required me to write six practice conference papers during his classes, an experience that turns out to be invaluable for the success of my research. Prof. Thornton inspired me to publish quality work extensively with great care ...
Resource Theory of Coherence
... identification of operations that are incoherent. These map the set of incoherent states to itself. More precisely, such a completely positive and trace preserving (cptp) map is specified by a set of Kraus operators {Kα } satP isfying α Kα† Kα = 11 and Kα ∆Kα† ⊂ ∆ for all α. A Kraus operator with th ...
... identification of operations that are incoherent. These map the set of incoherent states to itself. More precisely, such a completely positive and trace preserving (cptp) map is specified by a set of Kraus operators {Kα } satP isfying α Kα† Kα = 11 and Kα ∆Kα† ⊂ ∆ for all α. A Kraus operator with th ...
Classification of topological quantum matter with
... states give rise to a quantized transverse Hall conductivity. These edge states arise due to a nontrivial wave function topology, that can be measured in terms of a quantized topological invariant, i.e., the Chern or TKNN number (Kohmoto, 1985; Thouless et al., 1982). This invariant, which is propor ...
... states give rise to a quantized transverse Hall conductivity. These edge states arise due to a nontrivial wave function topology, that can be measured in terms of a quantized topological invariant, i.e., the Chern or TKNN number (Kohmoto, 1985; Thouless et al., 1982). This invariant, which is propor ...