711 citations · 10.3k across the 168 of their papers we have counts for
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Boundary effects in the critical scaling of entanglement entropy in 1D systems
Nicolas Laflorencie, Erik S. Sorensen, Ming-Shyang Chang +1
We present exact diagonalization and density matrix renormalization group results for the entanglement entropy of critical spin-1/2 XXZ chains. We find that open boundary condition…
Critical phenomena and quantum phase transition in long range Heisenberg antiferromagnetic chains
Nicolas Laflorencie, Ian Affleck, Mona Berciu
Antiferromagnetic Hamiltonians with short-range, non-frustrating interactions are well-known to exhibit long range magnetic order in dimensions, but exhibit only quasi lo…
Junctions of three quantum wires
Masaki Oshikawa, Claudio Chamon, Ian Affleck
We study a junction of three quantum wires enclosing a magnetic flux. The wires are modeled as single-channel spinless Tomonaga-Luttinger liquids. This is the simplest problem of a…
Magnetic order and moment distribution in doped spin-chain systems
Sebastian Eggert, Ian Affleck
We consider the effect of doping on the magnetic order in quasi one-dimensional (1D) antiferromagnets. First the detailed magnetic response of finite spin-1/2 chains in the presenc…
Luttinger liquid parameter for the spin-1 Heisenberg chain in a magnetic field
Ian Affleck
A recently derived general formula and older numerical results are combined to deduce the behavior of the transverse correlation exponent for the spin-1 Heisenberg antiferromagneti…
Kondo screening in a magnetically frustrated nanostructure: Exact results on a stable, non-Fermi-liquid phase
Kevin Ingersent, Andreas W. W. Ludwig, Ian Affleck
Triangular symmetry stabilizes a novel non-Fermi-liquid phase in the three-impurity Kondo model with frustrating antiferromagnetic interactions between half-integer impurity spins.…