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Critical phenomena in the two-dimensional Ising model with a defect line are studied using boundary conformal field theory on the c = 1 orbifold. Novel features of the boundary states arising from the orbifold structure, including continuously varying boundary critical exponents, are elucidated. New features of the Ising defect problem are obtained… (More)

Boundary critical phenomena are studied in the 3-State Potts model in 2 dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary conditions is obtained using both fusion and orbifold methods. Besides the previously known free, fixed and mixed boundary conditions a new one is obtained. This… (More)

- Eran Sela, Ian Affleck
- Physical review letters
- 2009

We present exact results on the nonequilibrium current fluctuations for 2 quantum dots in series throughout a crossover from non-Fermi liquid to Fermi liquid behavior described by the 2 impurity Kondo model. The result corresponds to resonant tunneling of carriers of charge 2e for a critical interimpurity coupling. At low energy scales, the result can be… (More)

- Ian Affleck
- 1993

A brief review is given of a new method for studying the critical behavior of quantum impurity problems, based on conformal field theory techniques, which I developed with Andreas Ludwig. Some results on the overscreened Kondo problem are reviewed. It is shown that the simple open and periodic fixed points, which occur in quantum spin chain impurity models,… (More)

- Eran Sela, Ian Affleck
- Physical review letters
- 2009

While violations of the Fermi liquid paradigm for metals are of great interest in various physical systems, quantum impurity models are among the few cases where exact theoretical results are available. Double quantum dots can provide an experimental realization of the 2 impurity Kondo model which exhibits a non-Fermi-liquid quantum critical point at a… (More)

- Nicolas Laflorencie, Erik S Sørensen, Ming-Shyang Chang, Ian Affleck
- Physical review letters
- 2006

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 conditions induce an alternating term in both the energy density and the entanglement entropy which are approximately proportional, decaying away from the boundary with a power law. The… (More)

- R G Pereira, J Sirker, +4 authors I Affleck
- Physical review letters
- 2006

The longitudinal spin structure factor for the XXZ-chain at small wave vector q is obtained using Bethe ansatz, field theory methods, and the density matrix renormalization group. It consists of a peak with a peculiar, non-Lorentzian shape and a high-frequency tail. We show that the width of the peak is proportional to q2 for finite magnetic field compared… (More)

- Claudio Chamon, Masaki Oshikawa, Ian Affleck
- Physical review letters
- 2003

We study a junction of three quantum wires enclosing a magnetic flux. This is the simplest problem of a quantum junction between Tomonaga-Luttinger liquids in which Fermi statistics enter in a nontrivial way. We present a direct connection between this problem and the dissipative Hofstadter problem, or quantum Brownian motion in two dimensions in a periodic… (More)

- Adrian Del Maestro, Massimo Boninsegni, Ian Affleck
- Physical review letters
- 2011

We study the low-temperature properties of a 4He fluid confined in nanopores, using large-scale quantum Monte Carlo simulations with realistic He-He and He-pore interactions. In the narrow-pore limit, the system can be described by the quantum hydrodynamic theory known as Luttinger liquid theory with a large Luttinger parameter, corresponding to the… (More)

- A H Castro Neto, E Novais, L Borda, Gergely Zaránd, I Affleck
- Physical review letters
- 2003

We discuss the problem of a spin 1/2 impurity immersed in a spin S magnetically ordered background. We show that the problem maps onto a generalization of the dissipative two level system with two independent heat baths, associated with the Goldstone modes of the magnet, that couple to different components of the impurity spin operator. Using analytical… (More)